Boundary conditions

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Revision as of 14:35, 25 February 2016 by Jaakko Leppänen (Talk | contribs) (Infinite 2D geometries)

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Boundary conditions are invoked when the particle crosses the boundary from the defined part of the geometry into a region labeled as "outside" in the cell cards. The outcome then depends on the boundary conditions, as defined by the "set bc" option. Serpent provides three types of boundary conditions:

  1. Black boundary - the particle is killed
  2. Reflective boundary - the particle is reflected back into the geometry
  3. Periodic boundary - the particle is moved to the opposite side of the geometry

Reflective and periodic boundary conditions can be used to construct infinite and semi-infinite lattice structures. The way these boundary conditions are handled in Serpent is somewhat different from other Monte Carlo codes. Instead of stopping the neutron at the boundary surface, reflections and translations are handled by coordinate transformations. This limits the outermost boundary to a few specific surface types that form regular lattices. In 2D geometries such surfaces are:

  • Square prism ("sqc") - forms a 2D square lattice
  • Hexagonal prisms ("hexxc" and "hexxyc") -- form 2D hexagonal lattices
  • Rectangular prism ("rect") - forms a 2D rectangular lattice

And in 3D:

  • Cube ("cube") - forms a 3D cubical lattice
  • Cuboid ("cuboid") - forms a 3D cuboidal lattice
  • Truncated hexagonal prisms ("hexxprism" and "hexyprism") - form a 3D hexagonal lattices

Repeated boundary conditions are invoked only on the first surface listed in the "outside" type cells. Since the geometry boundary may consist of additional surfaces, some boundaries may be treated as reflective or periodic, while others are treated as vacuum. In reactor geometries there are typically three possible configurations:

Infinite 2D geometry
The geometry has no dependence on the z-coordinate. The outer boundary is defined by one of the 2D surfaces listed above.
Radially infinite, axially finite 3D geometry
The outer boundary is defined by one of the 2D surfaces listed above and two axial planes ("pz"). The boundary condition takes effect in the radial direction only, while the axial boundaries are vacuum.
Infinite 3D geometry
The outer boundary is defined by one of the 2D surfaces listed above. The boundary condition takes effect in all directions.

These configurations are demonstrated below.

Infinite 2D geometries

Two types of infinite square lattices created using reflective and periodic boundary conditions are illustrated below, together with a non-repetitive black boundary. The geometry plot is extended beyond the outermost surface, in which case the plot shows the vacuum region as black and applies reflections and translations accordingly. The image captions provide links to particle track animations, which illustrate the behaviour when the boundary is hit. It should be noted that the boundary surface is not plotted, since the material is the same on both sides.

Vacuum boundary conditions

Vakuumi jnejne...

Radially infinite, axially finite 3D geometry