From 7dfcc480ba1e19bd3232349fc733caef94034292 Mon Sep 17 00:00:00 2001 From: stainer_t Date: Mon, 8 Sep 2025 13:48:49 +0200 Subject: Initial commit from Polytechnique Montreal --- doc/IGE335/Section3.25.tex | 118 +++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 118 insertions(+) create mode 100644 doc/IGE335/Section3.25.tex (limited to 'doc/IGE335/Section3.25.tex') diff --git a/doc/IGE335/Section3.25.tex b/doc/IGE335/Section3.25.tex new file mode 100644 index 0000000..85b5e28 --- /dev/null +++ b/doc/IGE335/Section3.25.tex @@ -0,0 +1,118 @@ +\subsection{The {\tt DMAC:} module}\label{sect:DMACData} + +This module is used to set fixed sources that can be used in the right hand term of an adjoint +fixed source eigenvalue problem. This type of equation appears in generalized perturbation theory (GPT) applications. +The fixed sources set in {\tt DMAC:} are corresponding to the gradient of a reference +macrolib with respect to homogenization and condensation of the cross-section information. The gradient +of a cross section $\Sigma(\bff(r))={\rm col}\{\Sigma_1(\bff(r)) \, , \ \Sigma_2(\bff(r))\}$ with respect to +homogenization and condensation is defined as +\begin{align*} +\bff(\nabla)P\{\bff(\phi)(\zeta);\bff(r)\}=P\{\bff(\phi)(\bff(r))\} +\left[\begin{matrix}{\Sigma_1(\bff(r))\over \left<\bff(\Sigma),\bff(\phi)\right>}-{1\over +\left<\bff(\phi)\right>} \cr {\Sigma_2(\bff(r))\over \left<\bff(\Sigma),\bff(\phi)\right>}-{1\over +\left<\bff(\phi)\right>}\end{matrix}\right] +\end{align*} + +\noindent where the homogenized and condensed cross section is an homogeneous functional of the flux defined as +$$ +P\{\bff(\phi)(r)\}={\left<\bff(\Sigma),\bff(\phi)\right>\over \left<\bff(\phi)\right>} \ \ \ . +$$ + +Each fixed source $\bff(\nabla)P\{\bff(\phi)(\zeta);\bff(r)\}$ is orthogonal to the flux $\bff(\phi)(\bff(r))$. + +\vskip 0.02cm + +The calling specifications are: + +\begin{DataStructure}{Structure \dstr{DMAC:}} +\dusa{SOURCE}~\moc{:=}~\moc{DMAC:}~\dusa{FLUX}~$\{$~\dusa{MICRO}~$|$~\dusa{MACRO}~$\}$~\dusa{TRACK}~\moc{::}~\dstr{DMAC\_data} \\ +\end{DataStructure} + +\noindent where +\begin{ListeDeDescription}{mmmmmmm} + +\item[\dusa{SOURCE}] {\tt character*12} name of a {\sc fixed sources} (type {\tt L\_SOURCE}) object open in creation +mode. This object contains a set of adjoint fixed sources corresponding to different macro-regions, macro-groups and cross-section types +present in the reference macrolib. + +\item[\dusa{FLUX}] {\tt character*12} name of a reference {\sc flux} (type {\tt L\_FLUX}) object open in read-only mode. + +\item[\dusa{MICRO}] {\tt character*12} name of a reference {\sc microlib} (type {\tt L\_LIBRARY}) object open in read-only mode. The information on +the embedded macrolib is used. + +\item[\dusa{MACRO}] {\tt character*12} name of a reference {\sc macrolib} (type {\tt L\_MACROLIB}) object open in read-only mode. + +\item[\dusa{TRACK}] {\tt character*12} name of a reference {\sc tracking} (type {\tt L\_TRACK}) object open in read-only mode. + +\item[\dusa{DMAC\_data}] input data structure containing specific data (see \Sect{descDMAC}). + +\end{ListeDeDescription} + +\subsubsection{Data input for module {\tt DMAC:}}\label{sect:descDMAC} + +\vskip -0.5cm + +\begin{DataStructure}{Structure \dstr{DMAC\_data}} +$[$~\moc{EDIT} \dusa{iprint}~$]$ \\ +$[$~\moc{RATE} \\ +\hskip 1.0cm $[$ \moc{MERG} $\{$ \moc{COMP} $|$ \moc{NONE} $|$ \\ +\hskip 2.0cm \moc{REGI} (\dusa{iregm}(ii),ii=1,nregio) $|$ \\ +\hskip 2.0cm \moc{MIX} $[$ (\dusa{imixm}(ii),ii=1,nbmix) $]~\}$ $]$ \\ +\hskip 1.0cm $[$ \moc{COND} $[~\{$ \moc{NONE} $|$ ( \dusa{icond}(ii), ii=1,ngcond) $\}~]~]$\\ +\moc{ENDR} $]$ \\ +{\tt ;} +\end{DataStructure} + +\noindent where +\begin{ListeDeDescription}{mmmmmmmm} + +\item[\moc{EDIT}] keyword used to set \dusa{iprint}. + +\item[\dusa{iprint}] index used to control the printing in module {\tt DMAC:}. =0 for no print; =1 for minimum printing (default value). + +\item[\moc{RATE}] keyword used to define the homogenization and condensation limits. + +\item[\moc{NONE}] keyword to deactivate the homogeneization or the condensation. + +\item[\moc{MERG}] keyword to specify that the neutron flux is to be +homogenized over specified regions or mixtures. + +\item[\moc{REGI}] keyword to specify that the homogenization of the neutron +flux will take place over the following regions. Here nregio$\le$\dusa{maxreg} +with \dusa{maxreg} the maximum number of regions for which solutions were +obtained. + +\item[\dusa{iregm}] array of homogenized region numbers to which are +associated the old regions. In the editing routines a value of \dusa{iregm}=0 +allows the corresponding region to be neglected. + +\item[\moc{MIX}] keyword to specify that the homogenization of the neutron +flux will take place over the following mixtures. Here +we must have nbmix$\le$\dusa{maxmix} where \dusa{maxmix} is the maximum number +of mixtures in the macroscopic cross section library. + +\item[\dusa{imixm}] array of homogenized region numbers to which are +associated the material mixtures. In the editing routines a value of +\dusa{imixm}=0 allows the corresponding isotopic mixtures to be neglected. For a mixture in this +library which is not used in the geometry one should insert a value of 0 for the +new region number associated with this mixture. By default, if \moc{MIX} is set and +\dusa{imixm} is not set, \dusa{imixm(ii)}$=$\dusa{ii} is assumed. + +\item[\moc{COMP}] keyword to specify that the a complete homogenization is to +take place. + +\item[\moc{COND}] keyword to specify that a group condensation of the flux is +to be performed. + +\item[\dusa{icond}] array of increasing energy group limits that will be associated with +each of the ngcond condensed groups. The final value of +\dusa{icond} will automatically be set to \dusa{ngroup} while the values of +\dusa{icond}$>$\dusa{ngroup} will be droped from the condensation. +We must have ngcond$\le$\dusa{ngroup}. By default, if \moc{COND} is set and \dusa{icond} +is not set, all energy groups are condensed together. + +\item[\moc{ENDR}] keyword used to terminate the definition of the homogenization and condensation. + +\end{ListeDeDescription} + +\eject -- cgit v1.2.3