Difference between revisions of "Tutorial"
(→Finding the critical uranium enrichment) |
(→Finding the critical uranium enrichment) |
||
| Line 2,195: | Line 2,195: | ||
=== Finding the critical uranium enrichment === | === Finding the critical uranium enrichment === | ||
| − | For the next part of the tutorial you can try to find out the critical enrichment for the fuel material. | + | For the next part of the tutorial you can try to find out the critical enrichment for the fuel material. Let's look at the fuel material definition a bit closer: |
<span style="color: Green;">% --- Fuel material (4.0 wt-% enriched uranium dioxide), density 10.1 g/cm3</span> | <span style="color: Green;">% --- Fuel material (4.0 wt-% enriched uranium dioxide), density 10.1 g/cm3</span> | ||
| Line 2,202: | Line 2,202: | ||
92235.03c -0.04 | 92235.03c -0.04 | ||
92238.03c -0.96 | 92238.03c -0.96 | ||
| + | |||
| + | The first line of the material definition contains the command word '''mat''' which tells Serpent that a material definition will follow. The name of the material is set to '''fuel''' and the density of the material is set to '''-10.1''', where the negative number tells Serpent that it should be interpreted as mass density (a positive number would indicate atomic density). The unit of mass density (see the [[Definitions, units and constants|list of units]]) used in Serpent is g/cm<sup>3</sup>. The initial material definition line is followed by the material composition: | ||
| + | |||
| + | 92235.03c -0.04 | ||
| + | 92238.03c -0.96 | ||
| + | |||
| + | Here the value on the left is the nuclide id (which must correspond to an entry in the cross section directory file) and the value on the right is its mass fraction (negative number) or atomic fraction (positive number) in the composition. The nuclide ids consist of three parts: | ||
| + | |||
| + | <span style="color: Red;">92</span><span style="color: Blue;">235</span>.<span style="color: SaddleBrown;">03c</span> -0.04 | ||
| + | <span style="color: Red;">92</span><span style="color: Blue;">238</span>.<span style="color: SaddleBrown;">03c</span> -0.96 | ||
| + | |||
| + | #The first one or two numbers are the <span style="color: Red;">atomic number of the nuclide</span>. | ||
| + | #The following three numbers give the <span style="color: Blue;">mass number of the nuclide</span>. | ||
| + | #The last three characters after a period/dot give the <span style="color: SaddleBrown;">library identifier of the nuclide</span>. The library identifier typically represents the temperature of the nuclide (and in some cases the cross section library). | ||
| + | |||
| + | In our case, the atomic number of both nuclides in the composition is '''92''' indicating that the nuclides are uranium. The mass numbers of the two nuclides are '''235''' and '''238''' further identifying the exact nuclides as <sup>235</sup>U and <sup>238</sup>U. The library identifier '''03c''' indicates that those variants of the <sup>235</sup>U and <sup>238</sup>U cross section libraries that are in the temperature of 300 K should be used. | ||
| + | |||
| + | The mass fractions given in the material definition mean that the material consists of 0.04 parts (in mass) of <sup>235</sup>U and 0.96 parts (in mass) of <sup>238</sup>U. This equals an enrichment of 4.0 wt.-%. | ||
| + | |||
| + | By changing the mass fractions given for the two nuclides, you can try to find a material composition that results in a multiplication factor of approximately 1.0. The statistical estimate for the multiplication factor along with its 2-sigma confidence interval is printed out by Serpent during the simulation: | ||
| + | |||
| + | ------------------------------------------------------------ | ||
| + | |||
| + | Serpent 2.1.29 -- Static criticality source simulation | ||
| + | |||
| + | Input file: "infinite" | ||
| + | |||
| + | Active cycle 100 / 100 Source neutrons : 4981 | ||
| + | |||
| + | Running time : 0:00:57 | ||
| + | Estimated running time : 0:00:57 | ||
| + | Estimated running time left : 0:00:00 | ||
| + | |||
| + | Estimated relative CPU usage : 100.0% | ||
| + | |||
| + | k-eff (analog) = 0.83673 +/- 0.00158 [0.83363 0.83982] | ||
| + | k-eff (implicit) = 0.83705 +/- 0.00067 [0.83575 0.83836] | ||
| + | |||
| + | (O4) (OMP=1) | ||
| + | ------------------------------------------------------------ | ||
| + | |||
| + | Here, '''k-eff (analog)''' and '''k-eff (implicit)''' are two separate statistical estimators for the multiplication factor of the system that can be used to estimate the criticality of the system. As the system is currently subcritical (k-eff is smaller than 1.0), it would be a good idea to increase the <sup>235</sup>U content slightly and re-run the calculation. | ||
| + | |||
| + | By tuning the material composition, you should be able to obtain a more or less critical system. | ||
| + | |||
| + | === Calculating the neutron energy spectrum === | ||
=== Testing and tinkering === | === Testing and tinkering === | ||
Revision as of 12:25, 11 September 2017
This page is the beginning of a hands-on tutorial in Serpent that will walk you through the creation of simple pin-cell and assembly geometry models and the use of those models for some reactor physics simulations.
Contents
Pre-requisite
Compiled version of Serpent 2.
This tutorial assumes that you can run Serpent 2 simply by typing sss2 in your terminal, i.e. you either have the executable in your PATH or have created an alias for the executable. If this is not the case, you'll need to replace the sss2 run-commands with the full path to your executable.
Cross section libraries.
This tutorial assumes that you have defined a default cross section directory file for Serpent using the SERPENT_ACELIB environment variable (see the notes of set acelib). If this is not the case, you'll need to give the path to a cross section directory file in the input using set acelib.
Basics of Serpent input
Explain different (typical) parts such as:
- Material definitions
- Geometry definitions
- Run parameters/options
Infinite homogeneous model
Overview
The first model in this tutorial is the simplest geometry model one can imagine: an infinite homogeneous system consisting of a single material. Here the infinite material is 4.0 wt-% enriched uranium with a density of 10.1 g/cm3.
We will use the infinite homogeneous system example for three tasks:
- Finding the critical enrichment of an infinite uranium system.
- Tallying the neutron energy spectrum in the critical infinite uranium system.
- Testing the effect of added neutron moderation on the multiplication factor and energy spectrum of the system.
Input
The input of the model is shown below and consists of only five definitions:
- Defining the single material, which is called fuel in this example.
- Defining the geometry by
- Defining an "infinite" surface, i.e. a surface enclosing all of space. The surface name is s1 in this example.
- Defining two geometry cells: One containing the material fuel and the other being defined as an outside cell.
- Setting up any other run parameters, here simply setting the neutron population that is to be simulated.
Colors in the input correspond to:
- Comments: These are ignored by Serpent.
- Control words: A constantly updating list of control words can be found in the Input syntax manual. Everything between two control words that is not a comment is treated as a parameter to the first control word.
- Name definitions: Name definitions for the various Serpent objects can contain characters and numbers and are used for referencing certain objects in other definitions.
- Name references: References to named objects defined in the input. Name references can be made even if the name definition has not been made yet as long as the name will be defined later in the input.
Running the input
Copy and paste the input to a file named infinite on your computer.
Simply run the input from terminal, by being in the same directory as the input-file and executing
sss2 infinite
An example of the expected output is given below, although you should note that the statistical nature of the Monte Carlo methods means that you will not get exactly same values for the k-effective:
Expected output for the infinite system
_ .-=-. .-=-. .-==-.
{ } __ .' O o '. .' O o '. / -<' )--<
{ } .' O'. / o .-. O \ / o .-. O \ / .---`
{ } / .-. o\ /O / \ o\ /O / \ o\ /O /
\ `-` / \ O`-'o / \ O`-'o / \ O`-`o /
`-.-` '.____.' `._____.' `.____.'
Serpent 2 beta
A Continuous-energy Monte Carlo Reactor Physics Burnup Calculation Code
- Version 2.1.29 (June 12, 2017) -- Contact: serpent@vtt.fi
- Reference: J. Leppanen, et al. "The Serpent Monte Carlo code: Status,
development and applications in 2013." Ann. Nucl. Energy,
82 (2015) 142-150.
- Compiled Jun 19 2017 10:21:15
- MPI Parallel calculation mode not available
- OpenMP Parallel calculation mode available
- Geometry and mesh plotting available
- Default data path set to: "/home/vvvillehe/XSdata/"
Begin calculation on Mon Sep 11 12:51:14 2017
Reading input file "infinite"...
Checking duplicate input definitions...
OK.
Creating geometry...
OK.
Counting geometry zones...
Processing cells...
OK.
Linking materials to geometry...
OK.
Counting cells...
OK.
Processing data for group constant generation:
- 70 energy groups in micro-group structure
- 2 energy groups in macro-group structure
- B1 fundamental mode calculation is not run
- Group constants generated in 1 universes
- Discontinuity factors are not calculated
- Pin-power distributions are not calculated
- Albedos are not calculated
- Poison cross sections are not calculated
Reading ACE directory files...
OK.
Adding nuclides in material fuel...
Nuclide 92235.03c -- uranium 235 at 300K (U-235)
Nuclide 92238.03c -- uranium 238 at 300K (U-238)
Checking data and printing output...
OK.
***** Mon Sep 11 12:51:15 2017 (seed = 1505123474)
Warning message from function ProcessNuclides:
Minimum photon cross section energy 1.000000E+37 MeV is
above the energy grid minimum 1.000000E-03 MeV.
The energy grid minimum is set to 1.000000E+37 MeV.
Possible changes in energy cutoff cards (warned if any).
***** Mon Sep 11 12:51:15 2017 (seed = 1505123474)
Warning message from function ProcessNuclides:
Photon energy cutoff 1.000000E-03 MeV is changed to 1.000000E+37.
Generating unionize energy grids...
Adding points:
92235.03c -- Points added in neutron grid: 30884
92238.03c -- Points added in neutron grid: 64918
Generating unionized energy grid:
- Unionization performed without grid thinning
between 1.00E-11 and 20.0 MeV.
- Final neutron grid size: 95836 points.
- 2.12 Mb of memory allocated for grid data
OK.
Processing cross sections and ENDF reaction laws...
Nuclide 92235.03c -- uranium 235 at 300K (U-235)
Nuclide 92238.03c -- uranium 238 at 300K (U-238)
SUMMARY -- 2 nuclides included in calculation:
- 2 transport nuclides
- Neutron energy cut-offs at 1.00E-11 and 20.0 MeV
- 88 transport reactions
- 2 special reactions
- 18.07 Mb of memory allocated for data
Normalizing compositions and processing mixtures...
OK.
Allocating memory for macroscopic cross section data...
OK.
Allocating memory for particle structures...
OK.
Calculating maximum densities...
OK.
Performing density cut-off...
OK.
Sorting material-wise reaction lists:
0% complete
100% complete
Calculating macroscopic cross sections:
0% complete
100% complete
Calculating DT neutron majorant cross section:
0% complete
100% complete
Clearing results and statistics...
OK.
Sampling initial source...
OK.
Inactive cycle 1 / 20: k-eff = 1.00000
Inactive cycle 2 / 20: k-eff = 0.83420
Inactive cycle 3 / 20: k-eff = 0.79549
Inactive cycle 4 / 20: k-eff = 0.87011
Inactive cycle 5 / 20: k-eff = 0.81582
Inactive cycle 6 / 20: k-eff = 0.83654
Inactive cycle 7 / 20: k-eff = 0.81429
Inactive cycle 8 / 20: k-eff = 0.88334
Inactive cycle 9 / 20: k-eff = 0.84641
Inactive cycle 10 / 20: k-eff = 0.88078
Inactive cycle 11 / 20: k-eff = 0.82141
Inactive cycle 12 / 20: k-eff = 0.83916
Inactive cycle 13 / 20: k-eff = 0.85225
Inactive cycle 14 / 20: k-eff = 0.84424
Inactive cycle 15 / 20: k-eff = 0.82836
Inactive cycle 16 / 20: k-eff = 0.80235
Inactive cycle 17 / 20: k-eff = 0.84424
Inactive cycle 18 / 20: k-eff = 0.85251
Inactive cycle 19 / 20: k-eff = 0.81653
Inactive cycle 20 / 20: k-eff = 0.83237
----- Begin active cycles -----
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 1 / 100 Source neutrons : 5177
Running time : 0:00:09
Estimated running time : -:--:--
Estimated running time left : -:--:--
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.86184 +/- 0.00000 [0.86184 0.86184]
k-eff (implicit) = 0.84234 +/- 0.00000 [0.84234 0.84234]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 2 / 100 Source neutrons : 4873
Running time : 0:00:09
Estimated running time : -:--:--
Estimated running time left : -:--:--
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.85090 +/- 0.01095 [0.82944 0.87235]
k-eff (implicit) = 0.83921 +/- 0.00313 [0.83308 0.84535]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 3 / 100 Source neutrons : 4979
Running time : 0:00:10
Estimated running time : -:--:--
Estimated running time left : -:--:--
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.84607 +/- 0.00795 [0.83049 0.86165]
k-eff (implicit) = 0.83824 +/- 0.00205 [0.83421 0.84226]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 4 / 100 Source neutrons : 4980
Running time : 0:00:10
Estimated running time : -:--:--
Estimated running time left : -:--:--
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84282 +/- 0.00649 [0.83010 0.85555]
k-eff (implicit) = 0.83595 +/- 0.00271 [0.83063 0.84127]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 5 / 100 Source neutrons : 5072
Running time : 0:00:11
Estimated running time : 0:00:57
Estimated running time left : 0:00:46
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.84327 +/- 0.00505 [0.83338 0.85317]
k-eff (implicit) = 0.83419 +/- 0.00274 [0.82882 0.83956]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 6 / 100 Source neutrons : 4895
Running time : 0:00:11
Estimated running time : 0:00:57
Estimated running time left : 0:00:45
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84061 +/- 0.00491 [0.83100 0.85023]
k-eff (implicit) = 0.83488 +/- 0.00234 [0.83029 0.83946]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 7 / 100 Source neutrons : 5060
Running time : 0:00:12
Estimated running time : 0:00:57
Estimated running time left : 0:00:45
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.84013 +/- 0.00417 [0.83195 0.84831]
k-eff (implicit) = 0.83563 +/- 0.00212 [0.83149 0.83978]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 8 / 100 Source neutrons : 5034
Running time : 0:00:12
Estimated running time : 0:00:57
Estimated running time left : 0:00:44
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.84049 +/- 0.00363 [0.83337 0.84760]
k-eff (implicit) = 0.83605 +/- 0.00188 [0.83237 0.83974]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 9 / 100 Source neutrons : 5141
Running time : 0:00:12
Estimated running time : 0:00:56
Estimated running time left : 0:00:43
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84340 +/- 0.00433 [0.83491 0.85189]
k-eff (implicit) = 0.83678 +/- 0.00181 [0.83323 0.84032]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 10 / 100 Source neutrons : 4689
Running time : 0:00:13
Estimated running time : 0:00:56
Estimated running time left : 0:00:43
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84034 +/- 0.00494 [0.83067 0.85002]
k-eff (implicit) = 0.83686 +/- 0.00162 [0.83368 0.84003]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 11 / 100 Source neutrons : 5340
Running time : 0:00:13
Estimated running time : 0:00:56
Estimated running time left : 0:00:42
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84286 +/- 0.00513 [0.83281 0.85291]
k-eff (implicit) = 0.83725 +/- 0.00152 [0.83428 0.84022]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 12 / 100 Source neutrons : 4906
Running time : 0:00:14
Estimated running time : 0:00:56
Estimated running time left : 0:00:42
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.84360 +/- 0.00474 [0.83432 0.85289]
k-eff (implicit) = 0.83862 +/- 0.00195 [0.83480 0.84243]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 13 / 100 Source neutrons : 5000
Running time : 0:00:14
Estimated running time : 0:00:56
Estimated running time left : 0:00:41
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84423 +/- 0.00440 [0.83560 0.85286]
k-eff (implicit) = 0.83770 +/- 0.00201 [0.83376 0.84164]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 14 / 100 Source neutrons : 4759
Running time : 0:00:15
Estimated running time : 0:00:56
Estimated running time left : 0:00:41
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.84184 +/- 0.00473 [0.83257 0.85111]
k-eff (implicit) = 0.83771 +/- 0.00186 [0.83406 0.84135]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 15 / 100 Source neutrons : 5270
Running time : 0:00:15
Estimated running time : 0:00:56
Estimated running time left : 0:00:40
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84268 +/- 0.00448 [0.83390 0.85147]
k-eff (implicit) = 0.83771 +/- 0.00173 [0.83432 0.84111]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 16 / 100 Source neutrons : 4903
Running time : 0:00:16
Estimated running time : 0:00:56
Estimated running time left : 0:00:40
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.84238 +/- 0.00420 [0.83414 0.85062]
k-eff (implicit) = 0.83794 +/- 0.00164 [0.83474 0.84115]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 17 / 100 Source neutrons : 5066
Running time : 0:00:16
Estimated running time : 0:00:56
Estimated running time left : 0:00:39
Estimated relative CPU usage : 100.2%
k-eff (analog) = 0.84277 +/- 0.00397 [0.83499 0.85054]
k-eff (implicit) = 0.83708 +/- 0.00176 [0.83363 0.84054]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 18 / 100 Source neutrons : 4864
Running time : 0:00:17
Estimated running time : 0:00:56
Estimated running time left : 0:00:39
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.84183 +/- 0.00386 [0.83427 0.84939]
k-eff (implicit) = 0.83702 +/- 0.00166 [0.83376 0.84028]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 19 / 100 Source neutrons : 5195
Running time : 0:00:17
Estimated running time : 0:00:56
Estimated running time left : 0:00:38
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84269 +/- 0.00375 [0.83534 0.85003]
k-eff (implicit) = 0.83771 +/- 0.00172 [0.83435 0.84107]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 20 / 100 Source neutrons : 4758
Running time : 0:00:18
Estimated running time : 0:00:56
Estimated running time left : 0:00:38
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.84138 +/- 0.00379 [0.83396 0.84880]
k-eff (implicit) = 0.83786 +/- 0.00163 [0.83465 0.84106]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 21 / 100 Source neutrons : 5296
Running time : 0:00:18
Estimated running time : 0:00:56
Estimated running time left : 0:00:37
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.84250 +/- 0.00377 [0.83511 0.84989]
k-eff (implicit) = 0.83784 +/- 0.00155 [0.83480 0.84089]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 22 / 100 Source neutrons : 4817
Running time : 0:00:19
Estimated running time : 0:00:56
Estimated running time left : 0:00:37
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84208 +/- 0.00362 [0.83498 0.84918]
k-eff (implicit) = 0.83827 +/- 0.00154 [0.83525 0.84130]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 23 / 100 Source neutrons : 5027
Running time : 0:00:19
Estimated running time : 0:00:56
Estimated running time left : 0:00:36
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84189 +/- 0.00347 [0.83510 0.84868]
k-eff (implicit) = 0.83835 +/- 0.00148 [0.83545 0.84124]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 24 / 100 Source neutrons : 4986
Running time : 0:00:20
Estimated running time : 0:00:56
Estimated running time left : 0:00:36
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.84162 +/- 0.00333 [0.83509 0.84814]
k-eff (implicit) = 0.83830 +/- 0.00141 [0.83553 0.84107]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 25 / 100 Source neutrons : 5009
Running time : 0:00:20
Estimated running time : 0:00:56
Estimated running time left : 0:00:35
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.84143 +/- 0.00320 [0.83516 0.84770]
k-eff (implicit) = 0.83851 +/- 0.00137 [0.83582 0.84120]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 26 / 100 Source neutrons : 5049
Running time : 0:00:21
Estimated running time : 0:00:56
Estimated running time left : 0:00:35
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.84157 +/- 0.00308 [0.83554 0.84760]
k-eff (implicit) = 0.83871 +/- 0.00133 [0.83609 0.84132]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 27 / 100 Source neutrons : 5140
Running time : 0:00:21
Estimated running time : 0:00:56
Estimated running time left : 0:00:35
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.84258 +/- 0.00313 [0.83645 0.84871]
k-eff (implicit) = 0.83871 +/- 0.00128 [0.83620 0.84123]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 28 / 100 Source neutrons : 4907
Running time : 0:00:22
Estimated running time : 0:00:56
Estimated running time left : 0:00:34
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.84294 +/- 0.00303 [0.83699 0.84888]
k-eff (implicit) = 0.83878 +/- 0.00124 [0.83635 0.84120]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 29 / 100 Source neutrons : 4885
Running time : 0:00:22
Estimated running time : 0:00:57
Estimated running time left : 0:00:34
Estimated relative CPU usage : 99.8%
k-eff (analog) = 0.84259 +/- 0.00295 [0.83681 0.84837]
k-eff (implicit) = 0.83902 +/- 0.00122 [0.83663 0.84140]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 30 / 100 Source neutrons : 5101
Running time : 0:00:23
Estimated running time : 0:00:57
Estimated running time left : 0:00:33
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.84283 +/- 0.00286 [0.83723 0.84843]
k-eff (implicit) = 0.83909 +/- 0.00118 [0.83678 0.84140]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 31 / 100 Source neutrons : 4844
Running time : 0:00:23
Estimated running time : 0:00:56
Estimated running time left : 0:00:33
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84220 +/- 0.00284 [0.83665 0.84776]
k-eff (implicit) = 0.83927 +/- 0.00115 [0.83700 0.84153]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 32 / 100 Source neutrons : 5069
Running time : 0:00:24
Estimated running time : 0:00:56
Estimated running time left : 0:00:32
Estimated relative CPU usage : 100.2%
k-eff (analog) = 0.84197 +/- 0.00276 [0.83657 0.84737]
k-eff (implicit) = 0.83902 +/- 0.00114 [0.83678 0.84126]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 33 / 100 Source neutrons : 5146
Running time : 0:00:24
Estimated running time : 0:00:57
Estimated running time left : 0:00:32
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.84248 +/- 0.00272 [0.83715 0.84782]
k-eff (implicit) = 0.83844 +/- 0.00125 [0.83598 0.84089]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 34 / 100 Source neutrons : 4777
Running time : 0:00:25
Estimated running time : 0:00:57
Estimated running time left : 0:00:32
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84184 +/- 0.00272 [0.83652 0.84717]
k-eff (implicit) = 0.83807 +/- 0.00127 [0.83558 0.84056]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 35 / 100 Source neutrons : 5022
Running time : 0:00:25
Estimated running time : 0:00:57
Estimated running time left : 0:00:31
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84134 +/- 0.00268 [0.83608 0.84660]
k-eff (implicit) = 0.83781 +/- 0.00126 [0.83534 0.84028]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 36 / 100 Source neutrons : 4947
Running time : 0:00:26
Estimated running time : 0:00:57
Estimated running time left : 0:00:31
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84063 +/- 0.00270 [0.83533 0.84593]
k-eff (implicit) = 0.83794 +/- 0.00123 [0.83553 0.84035]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 37 / 100 Source neutrons : 5137
Running time : 0:00:26
Estimated running time : 0:00:57
Estimated running time left : 0:00:30
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.84056 +/- 0.00263 [0.83540 0.84571]
k-eff (implicit) = 0.83793 +/- 0.00120 [0.83559 0.84028]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 38 / 100 Source neutrons : 5042
Running time : 0:00:27
Estimated running time : 0:00:57
Estimated running time left : 0:00:30
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84067 +/- 0.00256 [0.83565 0.84570]
k-eff (implicit) = 0.83794 +/- 0.00117 [0.83566 0.84023]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 39 / 100 Source neutrons : 5086
Running time : 0:00:27
Estimated running time : 0:00:57
Estimated running time left : 0:00:29
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84116 +/- 0.00254 [0.83617 0.84614]
k-eff (implicit) = 0.83800 +/- 0.00114 [0.83577 0.84022]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 40 / 100 Source neutrons : 4784
Running time : 0:00:28
Estimated running time : 0:00:57
Estimated running time left : 0:00:29
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84069 +/- 0.00252 [0.83574 0.84563]
k-eff (implicit) = 0.83796 +/- 0.00111 [0.83579 0.84013]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 41 / 100 Source neutrons : 5005
Running time : 0:00:28
Estimated running time : 0:00:57
Estimated running time left : 0:00:28
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.84026 +/- 0.00250 [0.83537 0.84516]
k-eff (implicit) = 0.83810 +/- 0.00109 [0.83597 0.84024]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 42 / 100 Source neutrons : 5001
Running time : 0:00:29
Estimated running time : 0:00:57
Estimated running time left : 0:00:28
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83986 +/- 0.00247 [0.83502 0.84470]
k-eff (implicit) = 0.83831 +/- 0.00108 [0.83619 0.84044]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 43 / 100 Source neutrons : 4897
Running time : 0:00:29
Estimated running time : 0:00:57
Estimated running time left : 0:00:27
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.83908 +/- 0.00253 [0.83411 0.84405]
k-eff (implicit) = 0.83816 +/- 0.00107 [0.83606 0.84025]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 44 / 100 Source neutrons : 5279
Running time : 0:00:29
Estimated running time : 0:00:57
Estimated running time left : 0:00:27
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83936 +/- 0.00249 [0.83448 0.84424]
k-eff (implicit) = 0.83805 +/- 0.00105 [0.83599 0.84011]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 45 / 100 Source neutrons : 4871
Running time : 0:00:30
Estimated running time : 0:00:57
Estimated running time left : 0:00:26
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83914 +/- 0.00245 [0.83435 0.84393]
k-eff (implicit) = 0.83832 +/- 0.00106 [0.83624 0.84041]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 46 / 100 Source neutrons : 5106
Running time : 0:00:30
Estimated running time : 0:00:57
Estimated running time left : 0:00:26
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.83931 +/- 0.00240 [0.83461 0.84401]
k-eff (implicit) = 0.83830 +/- 0.00104 [0.83626 0.84034]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 47 / 100 Source neutrons : 4952
Running time : 0:00:31
Estimated running time : 0:00:57
Estimated running time left : 0:00:25
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83930 +/- 0.00235 [0.83470 0.84390]
k-eff (implicit) = 0.83833 +/- 0.00102 [0.83634 0.84033]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 48 / 100 Source neutrons : 5081
Running time : 0:00:31
Estimated running time : 0:00:57
Estimated running time left : 0:00:25
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83958 +/- 0.00231 [0.83504 0.84411]
k-eff (implicit) = 0.83828 +/- 0.00100 [0.83632 0.84023]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 49 / 100 Source neutrons : 4830
Running time : 0:00:32
Estimated running time : 0:00:56
Estimated running time left : 0:00:24
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83925 +/- 0.00229 [0.83476 0.84374]
k-eff (implicit) = 0.83831 +/- 0.00098 [0.83640 0.84023]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 50 / 100 Source neutrons : 5171
Running time : 0:00:32
Estimated running time : 0:00:56
Estimated running time left : 0:00:24
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83950 +/- 0.00226 [0.83507 0.84392]
k-eff (implicit) = 0.83848 +/- 0.00097 [0.83657 0.84038]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 51 / 100 Source neutrons : 4947
Running time : 0:00:33
Estimated running time : 0:00:56
Estimated running time left : 0:00:23
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83956 +/- 0.00221 [0.83522 0.84390]
k-eff (implicit) = 0.83843 +/- 0.00095 [0.83656 0.84030]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 52 / 100 Source neutrons : 4832
Running time : 0:00:33
Estimated running time : 0:00:56
Estimated running time left : 0:00:23
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.83907 +/- 0.00222 [0.83472 0.84343]
k-eff (implicit) = 0.83841 +/- 0.00094 [0.83658 0.84025]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 53 / 100 Source neutrons : 5104
Running time : 0:00:34
Estimated running time : 0:00:56
Estimated running time left : 0:00:22
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83893 +/- 0.00219 [0.83464 0.84321]
k-eff (implicit) = 0.83842 +/- 0.00092 [0.83662 0.84022]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 54 / 100 Source neutrons : 4947
Running time : 0:00:34
Estimated running time : 0:00:56
Estimated running time left : 0:00:22
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83862 +/- 0.00217 [0.83437 0.84287]
k-eff (implicit) = 0.83824 +/- 0.00092 [0.83644 0.84004]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 55 / 100 Source neutrons : 5038
Running time : 0:00:35
Estimated running time : 0:00:56
Estimated running time left : 0:00:21
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83844 +/- 0.00213 [0.83426 0.84263]
k-eff (implicit) = 0.83817 +/- 0.00091 [0.83640 0.83995]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 56 / 100 Source neutrons : 5084
Running time : 0:00:35
Estimated running time : 0:00:56
Estimated running time left : 0:00:21
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83852 +/- 0.00210 [0.83440 0.84263]
k-eff (implicit) = 0.83809 +/- 0.00089 [0.83634 0.83984]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 57 / 100 Source neutrons : 4909
Running time : 0:00:36
Estimated running time : 0:00:56
Estimated running time left : 0:00:20
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.83832 +/- 0.00207 [0.83426 0.84238]
k-eff (implicit) = 0.83820 +/- 0.00088 [0.83647 0.83993]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 58 / 100 Source neutrons : 4951
Running time : 0:00:36
Estimated running time : 0:00:56
Estimated running time left : 0:00:20
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83799 +/- 0.00206 [0.83395 0.84203]
k-eff (implicit) = 0.83813 +/- 0.00087 [0.83642 0.83984]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 59 / 100 Source neutrons : 5098
Running time : 0:00:37
Estimated running time : 0:00:56
Estimated running time left : 0:00:19
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83794 +/- 0.00203 [0.83397 0.84191]
k-eff (implicit) = 0.83818 +/- 0.00086 [0.83650 0.83986]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 60 / 100 Source neutrons : 4836
Running time : 0:00:37
Estimated running time : 0:00:56
Estimated running time left : 0:00:19
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.83744 +/- 0.00205 [0.83341 0.84147]
k-eff (implicit) = 0.83792 +/- 0.00088 [0.83619 0.83965]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 61 / 100 Source neutrons : 5255
Running time : 0:00:38
Estimated running time : 0:00:56
Estimated running time left : 0:00:18
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83763 +/- 0.00203 [0.83365 0.84161]
k-eff (implicit) = 0.83793 +/- 0.00087 [0.83623 0.83963]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 62 / 100 Source neutrons : 4846
Running time : 0:00:38
Estimated running time : 0:00:56
Estimated running time left : 0:00:18
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83739 +/- 0.00201 [0.83345 0.84133]
k-eff (implicit) = 0.83783 +/- 0.00086 [0.83614 0.83951]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 63 / 100 Source neutrons : 5153
Running time : 0:00:39
Estimated running time : 0:00:56
Estimated running time left : 0:00:17
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.83756 +/- 0.00199 [0.83367 0.84145]
k-eff (implicit) = 0.83787 +/- 0.00085 [0.83621 0.83953]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 64 / 100 Source neutrons : 4940
Running time : 0:00:39
Estimated running time : 0:00:56
Estimated running time left : 0:00:17
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83757 +/- 0.00195 [0.83374 0.84140]
k-eff (implicit) = 0.83778 +/- 0.00084 [0.83614 0.83942]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 65 / 100 Source neutrons : 5114
Running time : 0:00:40
Estimated running time : 0:00:56
Estimated running time left : 0:00:16
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83787 +/- 0.00195 [0.83405 0.84168]
k-eff (implicit) = 0.83770 +/- 0.00083 [0.83607 0.83932]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 66 / 100 Source neutrons : 4874
Running time : 0:00:40
Estimated running time : 0:00:56
Estimated running time left : 0:00:16
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83783 +/- 0.00192 [0.83407 0.84159]
k-eff (implicit) = 0.83762 +/- 0.00082 [0.83601 0.83923]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 67 / 100 Source neutrons : 5093
Running time : 0:00:41
Estimated running time : 0:00:57
Estimated running time left : 0:00:15
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83802 +/- 0.00190 [0.83430 0.84175]
k-eff (implicit) = 0.83742 +/- 0.00083 [0.83579 0.83906]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 68 / 100 Source neutrons : 4720
Running time : 0:00:41
Estimated running time : 0:00:57
Estimated running time left : 0:00:15
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83751 +/- 0.00194 [0.83371 0.84131]
k-eff (implicit) = 0.83748 +/- 0.00082 [0.83587 0.83909]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 69 / 100 Source neutrons : 5186
Running time : 0:00:42
Estimated running time : 0:00:57
Estimated running time left : 0:00:15
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83745 +/- 0.00191 [0.83370 0.84120]
k-eff (implicit) = 0.83738 +/- 0.00082 [0.83578 0.83898]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 70 / 100 Source neutrons : 4945
Running time : 0:00:42
Estimated running time : 0:00:57
Estimated running time left : 0:00:14
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.83726 +/- 0.00189 [0.83355 0.84097]
k-eff (implicit) = 0.83733 +/- 0.00081 [0.83575 0.83891]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 71 / 100 Source neutrons : 5134
Running time : 0:00:43
Estimated running time : 0:00:57
Estimated running time left : 0:00:14
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83738 +/- 0.00187 [0.83372 0.84105]
k-eff (implicit) = 0.83724 +/- 0.00080 [0.83567 0.83880]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 72 / 100 Source neutrons : 4762
Running time : 0:00:43
Estimated running time : 0:00:57
Estimated running time left : 0:00:13
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83694 +/- 0.00190 [0.83323 0.84066]
k-eff (implicit) = 0.83734 +/- 0.00080 [0.83578 0.83890]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 73 / 100 Source neutrons : 5208
Running time : 0:00:44
Estimated running time : 0:00:57
Estimated running time left : 0:00:13
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83698 +/- 0.00187 [0.83331 0.84064]
k-eff (implicit) = 0.83739 +/- 0.00079 [0.83585 0.83893]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 74 / 100 Source neutrons : 5074
Running time : 0:00:44
Estimated running time : 0:00:57
Estimated running time left : 0:00:12
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.83718 +/- 0.00186 [0.83354 0.84081]
k-eff (implicit) = 0.83727 +/- 0.00078 [0.83573 0.83880]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 75 / 100 Source neutrons : 4814
Running time : 0:00:45
Estimated running time : 0:00:57
Estimated running time left : 0:00:12
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.83695 +/- 0.00185 [0.83333 0.84057]
k-eff (implicit) = 0.83721 +/- 0.00078 [0.83569 0.83873]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 76 / 100 Source neutrons : 5117
Running time : 0:00:45
Estimated running time : 0:00:57
Estimated running time left : 0:00:11
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83698 +/- 0.00182 [0.83341 0.84055]
k-eff (implicit) = 0.83719 +/- 0.00077 [0.83568 0.83869]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 77 / 100 Source neutrons : 4981
Running time : 0:00:46
Estimated running time : 0:00:57
Estimated running time left : 0:00:11
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83697 +/- 0.00180 [0.83345 0.84049]
k-eff (implicit) = 0.83715 +/- 0.00076 [0.83566 0.83863]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 78 / 100 Source neutrons : 4892
Running time : 0:00:46
Estimated running time : 0:00:57
Estimated running time left : 0:00:10
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83672 +/- 0.00179 [0.83322 0.84023]
k-eff (implicit) = 0.83720 +/- 0.00075 [0.83573 0.83867]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 79 / 100 Source neutrons : 5267
Running time : 0:00:47
Estimated running time : 0:00:57
Estimated running time left : 0:00:10
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83704 +/- 0.00180 [0.83352 0.84056]
k-eff (implicit) = 0.83719 +/- 0.00074 [0.83574 0.83864]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 80 / 100 Source neutrons : 4790
Running time : 0:00:47
Estimated running time : 0:00:57
Estimated running time left : 0:00:09
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83690 +/- 0.00178 [0.83341 0.84038]
k-eff (implicit) = 0.83720 +/- 0.00073 [0.83577 0.83863]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 81 / 100 Source neutrons : 4876
Running time : 0:00:48
Estimated running time : 0:00:57
Estimated running time left : 0:00:09
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.83650 +/- 0.00180 [0.83297 0.84003]
k-eff (implicit) = 0.83721 +/- 0.00072 [0.83580 0.83863]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 82 / 100 Source neutrons : 5004
Running time : 0:00:48
Estimated running time : 0:00:57
Estimated running time left : 0:00:08
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83613 +/- 0.00182 [0.83256 0.83969]
k-eff (implicit) = 0.83721 +/- 0.00071 [0.83581 0.83860]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 83 / 100 Source neutrons : 5153
Running time : 0:00:49
Estimated running time : 0:00:57
Estimated running time left : 0:00:08
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83606 +/- 0.00180 [0.83254 0.83958]
k-eff (implicit) = 0.83719 +/- 0.00070 [0.83581 0.83857]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 84 / 100 Source neutrons : 5087
Running time : 0:00:49
Estimated running time : 0:00:57
Estimated running time left : 0:00:07
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83616 +/- 0.00178 [0.83268 0.83965]
k-eff (implicit) = 0.83711 +/- 0.00070 [0.83574 0.83849]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 85 / 100 Source neutrons : 4976
Running time : 0:00:50
Estimated running time : 0:00:57
Estimated running time left : 0:00:07
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83621 +/- 0.00176 [0.83277 0.83966]
k-eff (implicit) = 0.83705 +/- 0.00069 [0.83568 0.83841]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 86 / 100 Source neutrons : 5022
Running time : 0:00:50
Estimated running time : 0:00:57
Estimated running time left : 0:00:06
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83631 +/- 0.00174 [0.83290 0.83972]
k-eff (implicit) = 0.83700 +/- 0.00069 [0.83566 0.83835]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 87 / 100 Source neutrons : 4868
Running time : 0:00:50
Estimated running time : 0:00:57
Estimated running time left : 0:00:06
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83615 +/- 0.00173 [0.83276 0.83953]
k-eff (implicit) = 0.83710 +/- 0.00069 [0.83575 0.83844]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 88 / 100 Source neutrons : 5084
Running time : 0:00:51
Estimated running time : 0:00:57
Estimated running time left : 0:00:05
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.83614 +/- 0.00171 [0.83280 0.83949]
k-eff (implicit) = 0.83703 +/- 0.00068 [0.83569 0.83837]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 89 / 100 Source neutrons : 5052
Running time : 0:00:51
Estimated running time : 0:00:57
Estimated running time left : 0:00:05
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83624 +/- 0.00169 [0.83292 0.83956]
k-eff (implicit) = 0.83708 +/- 0.00068 [0.83576 0.83841]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 90 / 100 Source neutrons : 4906
Running time : 0:00:52
Estimated running time : 0:00:57
Estimated running time left : 0:00:04
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83616 +/- 0.00167 [0.83287 0.83944]
k-eff (implicit) = 0.83696 +/- 0.00068 [0.83563 0.83829]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 91 / 100 Source neutrons : 5034
Running time : 0:00:52
Estimated running time : 0:00:57
Estimated running time left : 0:00:04
Estimated relative CPU usage : 100.1%
k-eff (analog) = 0.83614 +/- 0.00166 [0.83289 0.83938]
k-eff (implicit) = 0.83691 +/- 0.00067 [0.83559 0.83823]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 92 / 100 Source neutrons : 5017
Running time : 0:00:53
Estimated running time : 0:00:57
Estimated running time left : 0:00:03
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83615 +/- 0.00164 [0.83294 0.83936]
k-eff (implicit) = 0.83703 +/- 0.00068 [0.83570 0.83835]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 93 / 100 Source neutrons : 5118
Running time : 0:00:54
Estimated running time : 0:00:57
Estimated running time left : 0:00:03
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83637 +/- 0.00164 [0.83317 0.83958]
k-eff (implicit) = 0.83698 +/- 0.00067 [0.83566 0.83829]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 94 / 100 Source neutrons : 4978
Running time : 0:00:54
Estimated running time : 0:00:57
Estimated running time left : 0:00:02
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83655 +/- 0.00163 [0.83336 0.83974]
k-eff (implicit) = 0.83702 +/- 0.00066 [0.83572 0.83832]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 95 / 100 Source neutrons : 4931
Running time : 0:00:55
Estimated running time : 0:00:57
Estimated running time left : 0:00:02
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83660 +/- 0.00161 [0.83344 0.83976]
k-eff (implicit) = 0.83698 +/- 0.00066 [0.83569 0.83827]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 96 / 100 Source neutrons : 4796
Running time : 0:00:55
Estimated running time : 0:00:57
Estimated running time left : 0:00:01
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83630 +/- 0.00162 [0.83311 0.83948]
k-eff (implicit) = 0.83709 +/- 0.00066 [0.83579 0.83838]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 97 / 100 Source neutrons : 5254
Running time : 0:00:55
Estimated running time : 0:00:57
Estimated running time left : 0:00:01
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83642 +/- 0.00161 [0.83326 0.83958]
k-eff (implicit) = 0.83700 +/- 0.00066 [0.83570 0.83829]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 98 / 100 Source neutrons : 5044
Running time : 0:00:56
Estimated running time : 0:00:57
Estimated running time left : 0:00:00
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83661 +/- 0.00161 [0.83346 0.83977]
k-eff (implicit) = 0.83691 +/- 0.00066 [0.83562 0.83820]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 99 / 100 Source neutrons : 4931
Running time : 0:00:56
Estimated running time : 0:00:57
Estimated running time left : 0:00:00
Estimated relative CPU usage : 99.9%
k-eff (analog) = 0.83669 +/- 0.00159 [0.83356 0.83981]
k-eff (implicit) = 0.83689 +/- 0.00065 [0.83561 0.83817]
(O4) (OMP=1)
------------------------------------------------------------
------------------------------------------------------------
Serpent 2.1.29 -- Static criticality source simulation
Input file: "infinite"
Active cycle 100 / 100 Source neutrons : 4981
Running time : 0:00:57
Estimated running time : 0:00:57
Estimated running time left : 0:00:00
Estimated relative CPU usage : 100.0%
k-eff (analog) = 0.83673 +/- 0.00158 [0.83363 0.83982]
k-eff (implicit) = 0.83705 +/- 0.00067 [0.83575 0.83836]
(O4) (OMP=1)
------------------------------------------------------------
Transport cycle completed in 56.3 seconds.
The output of a simple Serpent simulation can be divided to the pre-processing part and the neutron transport part. The pre-processing part consists of reading the input-files and processing the material, geometry and cross section data, whereas the neutron transport part consists of first executing the inactive cycles, followed by the execution of the active cycles.
The results are only collected during the active cycles. The inactive cycles are used to allow the fission source to converge from the initial guess to its fundamental mode before the collection of the results is begun. If too few inactive cycles are used, the collected results do not represent the fundamental mode and will be incorrect. One of the traditional methods for estimating the required number of inactive cycles is to monitor the Shannon entropy of the fission source as a function of the cycle number (see set his).
Running the input will also produce multiple output files, the full description of which can be found here. The main output file infinite_res.m contains many result variables calculated from the simulation and can be executed with MATLAB or OCTAVE to automatically bring the variables in as workspace variables.
Finding the critical uranium enrichment
For the next part of the tutorial you can try to find out the critical enrichment for the fuel material. Let's look at the fuel material definition a bit closer:
% --- Fuel material (4.0 wt-% enriched uranium dioxide), density 10.1 g/cm3 mat fuel -10.1 92235.03c -0.04 92238.03c -0.96
The first line of the material definition contains the command word mat which tells Serpent that a material definition will follow. The name of the material is set to fuel and the density of the material is set to -10.1, where the negative number tells Serpent that it should be interpreted as mass density (a positive number would indicate atomic density). The unit of mass density (see the list of units) used in Serpent is g/cm3. The initial material definition line is followed by the material composition:
92235.03c -0.04 92238.03c -0.96
Here the value on the left is the nuclide id (which must correspond to an entry in the cross section directory file) and the value on the right is its mass fraction (negative number) or atomic fraction (positive number) in the composition. The nuclide ids consist of three parts:
92235.03c -0.04 92238.03c -0.96
- The first one or two numbers are the atomic number of the nuclide.
- The following three numbers give the mass number of the nuclide.
- The last three characters after a period/dot give the library identifier of the nuclide. The library identifier typically represents the temperature of the nuclide (and in some cases the cross section library).
In our case, the atomic number of both nuclides in the composition is 92 indicating that the nuclides are uranium. The mass numbers of the two nuclides are 235 and 238 further identifying the exact nuclides as 235U and 238U. The library identifier 03c indicates that those variants of the 235U and 238U cross section libraries that are in the temperature of 300 K should be used.
The mass fractions given in the material definition mean that the material consists of 0.04 parts (in mass) of 235U and 0.96 parts (in mass) of 238U. This equals an enrichment of 4.0 wt.-%.
By changing the mass fractions given for the two nuclides, you can try to find a material composition that results in a multiplication factor of approximately 1.0. The statistical estimate for the multiplication factor along with its 2-sigma confidence interval is printed out by Serpent during the simulation:
------------------------------------------------------------ Serpent 2.1.29 -- Static criticality source simulation Input file: "infinite" Active cycle 100 / 100 Source neutrons : 4981 Running time : 0:00:57 Estimated running time : 0:00:57 Estimated running time left : 0:00:00 Estimated relative CPU usage : 100.0% k-eff (analog) = 0.83673 +/- 0.00158 [0.83363 0.83982] k-eff (implicit) = 0.83705 +/- 0.00067 [0.83575 0.83836] (O4) (OMP=1) ------------------------------------------------------------
Here, k-eff (analog) and k-eff (implicit) are two separate statistical estimators for the multiplication factor of the system that can be used to estimate the criticality of the system. As the system is currently subcritical (k-eff is smaller than 1.0), it would be a good idea to increase the 235U content slightly and re-run the calculation.
By tuning the material composition, you should be able to obtain a more or less critical system.
Calculating the neutron energy spectrum
Testing and tinkering
2D Pin-cell model
Overview
Basics
Colors in input correspond to:
- Comments
- Control words
- Name definitions
- Name references
