Difference between revisions of "Result estimators"
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=== Analog reaction rate estimators === | === Analog reaction rate estimators === | ||
| − | == Surface flux and current detectors == | + | === Surface flux and current detectors === |
== Implicit estimators == | == Implicit estimators == | ||
Implicit estimators are derived from analog estimators, but instead of scoring events that actually occured, the estimate is based on the expected occurrace of the event. Serpent 2 | Implicit estimators are derived from analog estimators, but instead of scoring events that actually occured, the estimate is based on the expected occurrace of the event. Serpent 2 | ||
Revision as of 16:29, 19 November 2015
The Monte Carlo transport simulation is run to obtain statistical estimates for integrals of the form:
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where $f$ is a response function that can be evaluated at an arbitrary position
of the phase space, most typically a reaction cross section. These estimates
are based on the collection of simulated events (collisions, track-lengths,
surface crossings, etc.) that occur during the course of the simulated
random walk.
The estimates can be divided into:
- Analog estimates, based on recorded simulated physical events
- Implicit estimators, based the expected frequency of events
Implicit estimators are derived from analog estimators, with the purpose of obtaining better statistics.
Contents
Analog estimators
Analog estimates are the most straightforward way to obtain physical results from the Monte Carlo transport simulation. Each particle history consists of a number of events containing relevant information on the transport process, which can be counted as-is, for example:
- Collisions
- Sampled reactions
- Crossed surfaces
- Neutrons emitted in fission
The integration domain is defined by separating the scores into different bins based on particle position, energy and time (and direction of motion). For example:
- Fission rate in a specific fuel pin -- count the number of simulated fission events in that fuel pin (integration over specific volume)
- Thermal neutron absorption in coolant -- count the number of neutrons absorbed in the coolant with energy in the thermal region (integration over specific volume and energy)
- Total fission rate as function of time -- count the number of fissions, and place the results in successive bins depending on the time of the event (integration over specific time)
These examples also illustrate the fact the results are always integrated over the variables.
The analog estimators used by Serpent are listed below
Analog estimate of keff
Analog reaction rate estimators
Surface flux and current detectors
Implicit estimators
Implicit estimators are derived from analog estimators, but instead of scoring events that actually occured, the estimate is based on the expected occurrace of the event. Serpent 2
