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Update documentation to reflect no use of union energy grid.
This commit is contained in:
Paul Romano
parent
d54af34dec
commit
8dba76302e
4 changed files with 40 additions and 850 deletions
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|
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Before Width: | Height: | Size: 35 KiB |
|
|
@ -47,45 +47,30 @@ there would be for burnup calculations. Thus, there is a strong motive to
|
|||
implement a method of reducing the number of energy grid searches in order to
|
||||
speed up the calculation.
|
||||
|
||||
Unionized Energy Grid
|
||||
---------------------
|
||||
-------------------
|
||||
Logarithmic Mapping
|
||||
-------------------
|
||||
|
||||
The most naïve method to reduce the number of energy grid searches is to
|
||||
construct a new energy grid that consists of the union of the energy points of
|
||||
each nuclide and use this energy grid for all nuclides. This method is
|
||||
computationally very efficient as it only requires one energy grid search at
|
||||
each collision as well as one interpolation between cross section values since
|
||||
the interpolation factor can be used for all nuclides. However, it requires
|
||||
redundant storage of cross section values at points which were added to each
|
||||
nuclide grid. This additional burden on memory storage can become quite
|
||||
prohibitive. To lessen that burden, the unionized energy grid can be thinned
|
||||
with cross sections reconstructed on the thinned energy grid. This method is
|
||||
currently used by default in the Serpent Monte Carlo code.
|
||||
To speed up energy grid searches, OpenMC uses logarithmic mapping technique
|
||||
[Brown]_ to limit the range of energies that must be searched for each
|
||||
nuclide. The entire energy range is divided up into equal-lethargy segments, and
|
||||
the bounding energies of each segment are mapped to bounding indices on each of
|
||||
the nuclide energy grids. By default, OpenMC uses 8000 equal-lethargy segments
|
||||
as recommended by Brown.
|
||||
|
||||
Unionized Energy Grid with Nuclide Pointers
|
||||
-------------------------------------------
|
||||
-------------
|
||||
Other Methods
|
||||
-------------
|
||||
|
||||
While having a unionized grid that is used for all nuclides allows for very fast
|
||||
lookup of cross sections, the burden on memory is in many circumstances
|
||||
unacceptable. The OpenMC Monte Carlo code utilizes a method that allows for a
|
||||
single energy grid search to be performed at every collision while avoiding the
|
||||
redundant storage of cross section values. Instead of using the unionized grid
|
||||
for every nuclide, the original energy grid of each nuclide is kept and a list
|
||||
of pointers (of the same length as the unionized energy grid) is constructed for
|
||||
each nuclide that gives the corresponding grid index on the nuclide grid for a
|
||||
given grid index on the unionized grid. One must still interpolate on cross
|
||||
section values for each nuclide since the interpolation factors will generally
|
||||
be different. The figure below illustrates this method. All values within the
|
||||
dashed box would need to be stored on a per-nuclide basis, and the union grid
|
||||
would need to be stored once. This method is also referred to as *double
|
||||
indexing* and is available as an option in Serpent (see paper by Leppanen_).
|
||||
A good survey of other energy grid techniques, including unionized energy grids,
|
||||
can be found in a paper by Leppanen_.
|
||||
|
||||
.. figure:: ../_images/uniongrid.*
|
||||
:width: 600px
|
||||
:align: center
|
||||
:figclass: align-center
|
||||
----------
|
||||
References
|
||||
----------
|
||||
|
||||
Mapping of union energy grid to nuclide energy grid through pointers.
|
||||
.. [Brown] Forrest B. Brown, "New Hash-based Energy Lookup Algorithm for Monte
|
||||
Carlo codes," LA-UR-14-24530, Los Alamos National Laboratory (2014).
|
||||
|
||||
.. _MCNP: http://mcnp.lanl.gov
|
||||
.. _Serpent: http://montecarlo.vtt.fi
|
||||
|
|
|
|||
|
|
@ -134,13 +134,11 @@ should be performed. It has the following attributes/sub-elements:
|
|||
-------------------------
|
||||
|
||||
The ``<energy_grid>`` element determines the treatment of the energy grid during
|
||||
a simulation. The valid options are "nuclide", "union", and "logarithm". Setting
|
||||
this element to "nuclide" will cause OpenMC to use a nuclide's energy grid when
|
||||
a simulation. The valid options are "nuclide" and "logarithm". Setting this
|
||||
element to "nuclide" will cause OpenMC to use a nuclide's energy grid when
|
||||
determining what points to interpolate between for determining cross sections
|
||||
(i.e. non-unionized energy grid). Setting this element to "union" results in a
|
||||
unionized energy grid with pointers to nuclide grids. Setting this element to
|
||||
"logarithm" causes OpenMC to use a logarithmic mapping technique described in
|
||||
LA-UR-14-24530_.
|
||||
(i.e. non-unionized energy grid). Setting this element to "logarithm" causes
|
||||
OpenMC to use a logarithmic mapping technique described in LA-UR-14-24530_.
|
||||
|
||||
*Default*: logarithm
|
||||
|
||||
|
|
|
|||
|
|
@ -3,19 +3,19 @@ element settings {
|
|||
|
||||
(
|
||||
element eigenvalue {
|
||||
(element batches { xsd:positiveInteger } |
|
||||
(element batches { xsd:positiveInteger } |
|
||||
attribute batches { xsd:positiveInteger }) &
|
||||
(element inactive { xsd:nonNegativeInteger } |
|
||||
(element inactive { xsd:nonNegativeInteger } |
|
||||
attribute inactive { xsd:nonNegativeInteger }) &
|
||||
(element particles { xsd:positiveInteger } |
|
||||
(element particles { xsd:positiveInteger } |
|
||||
attribute particles { xsd:positiveInteger }) &
|
||||
(element generations_per_batch { xsd:positiveInteger } |
|
||||
(element generations_per_batch { xsd:positiveInteger } |
|
||||
attribute generations_per_batch { xsd:positiveInteger })?
|
||||
} |
|
||||
element fixed_source {
|
||||
(element batches { xsd:positiveInteger } |
|
||||
(element batches { xsd:positiveInteger } |
|
||||
attribute batches { xsd:positiveInteger }) &
|
||||
(element particles { xsd:positiveInteger } |
|
||||
(element particles { xsd:positiveInteger } |
|
||||
attribute particles { xsd:positiveInteger })
|
||||
}
|
||||
) &
|
||||
|
|
@ -27,15 +27,14 @@ element settings {
|
|||
(element weight_avg { xsd:double } | attribute weight_avg { xsd:double })?
|
||||
}? &
|
||||
|
||||
element energy_grid { ( "nuclide" | "union" | "log" |
|
||||
"logarithm" | "logarithmic" ) }? &
|
||||
element energy_grid { ( "nuclide" | "log" | "logarithm" | "logarithmic" ) }? &
|
||||
|
||||
element entropy {
|
||||
(element dimension { list { xsd:int+ } } |
|
||||
(element dimension { list { xsd:int+ } } |
|
||||
attribute dimension { list { xsd:int+ } })? &
|
||||
(element lower_left { list { xsd:double+ } } |
|
||||
(element lower_left { list { xsd:double+ } } |
|
||||
attribute lower_left { list { xsd:double+ } }) &
|
||||
(element upper_right { list { xsd:double+ } } |
|
||||
(element upper_right { list { xsd:double+ } } |
|
||||
attribute upper_right { list { xsd:double+ } })
|
||||
}? &
|
||||
|
||||
|
|
@ -94,7 +93,7 @@ element settings {
|
|||
(
|
||||
(element batches { list { xsd:positiveInteger+ } } |
|
||||
attribute batches { list { xsd:positiveInteger+ } }) |
|
||||
(element interval { xsd:positiveInteger } |
|
||||
(element interval { xsd:positiveInteger } |
|
||||
attribute interval { xsd:positiveInteger })
|
||||
)
|
||||
}? &
|
||||
|
|
@ -103,12 +102,12 @@ element settings {
|
|||
(
|
||||
(element batches { list { xsd:positiveInteger+ } } |
|
||||
attribute batches { list { xsd:positiveInteger+ } }) |
|
||||
(element interval { xsd:positiveInteger } |
|
||||
(element interval { xsd:positiveInteger } |
|
||||
attribute interval { xsd:positiveInteger })
|
||||
)? &
|
||||
(element separate { xsd:boolean } |
|
||||
(element separate { xsd:boolean } |
|
||||
attribute separate { xsd:boolean })? &
|
||||
(element write { xsd:boolean } |
|
||||
(element write { xsd:boolean } |
|
||||
attribute write { xsd:boolean })? &
|
||||
(element overwrite_latest { xsd:boolean} |
|
||||
attribute overwrite_latest {xsd:boolean})?
|
||||
|
|
@ -125,11 +124,11 @@ element settings {
|
|||
element verbosity { xsd:positiveInteger }? &
|
||||
|
||||
element uniform_fs{
|
||||
(element dimension { list { xsd:positiveInteger+ } } |
|
||||
(element dimension { list { xsd:positiveInteger+ } } |
|
||||
attribute dimension { list { xsd:positiveInteger+ } }) &
|
||||
(element lower_left { list { xsd:double+ } } |
|
||||
(element lower_left { list { xsd:double+ } } |
|
||||
attribute lower_left { list { xsd:double+ } }) &
|
||||
(element upper_right { list { xsd:double+ } } |
|
||||
(element upper_right { list { xsd:double+ } } |
|
||||
attribute upper_right { list { xsd:double+ } })
|
||||
}? &
|
||||
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue