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| author | stainer_t <thomas.stainer@oecd-nea.org> | 2025-09-08 13:48:49 +0200 |
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| committer | stainer_t <thomas.stainer@oecd-nea.org> | 2025-09-08 13:48:49 +0200 |
| commit | 7dfcc480ba1e19bd3232349fc733caef94034292 (patch) | |
| tree | 03ee104eb8846d5cc1a981d267687a729185d3f3 /doc/IGE335/Section5.04.tex | |
Initial commit from Polytechnique Montreal
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diff --git a/doc/IGE335/Section5.04.tex b/doc/IGE335/Section5.04.tex new file mode 100644 index 0000000..e08c18c --- /dev/null +++ b/doc/IGE335/Section5.04.tex @@ -0,0 +1,146 @@ +\subsection{Macroscopic cross sections examples}\label{sect:ExMACROLIB} + +The sample test cases we will consider here use the \moc{MAC:} module to enter +macroscopic cross sections directly into DRAGON. They are numbered successively +from \tst(TCM01) to \tst(TCM08). + +\subsubsection{\tst(TCM01) -- Annular region} + +\begin{figure}[h!] +\begin{center} +\epsfxsize=6cm \centerline{ \epsffile{GTCM01.eps}} +\parbox{16cm}{\caption{Geometry for test case \tst(TCM01) for an annular cell with +macroscopic cross sections.}\label{fig:TCM01}} +\end{center} +\end{figure} + +This sample input is used to analyze the annular cell presented in \Fig{TCM01}. +It uses two-groups macroscopic cross sections provided directly by the user. One +type of solution is provided here, one with a complete collision probability +calculation (\moc{SYBILT:}). Note that for the second flux calculation the +initial flux distribution is taken from the existing \dds{fluxunk} structure +which already contains the flux distribution from the +\moc{SYBILT:} calculation. + +\listing{TCM01.x2m} + +\subsubsection{\tst(TCM02) -- The Stankovski test case.} + +\begin{figure}[h!] +\begin{center} +\epsfxsize=10cm \centerline{ \epsffile{GTCM02.eps}} +\parbox{14cm}{\caption{Geometry for test case \tst(TCM02).}\label{fig:TCM02}} +\end{center} \end{figure} + +This test case represents a one group calculation of a $7\times 7$ PWR assembly. +The reaction rates obtained from DRAGON can be compared with those obtained +using the MARSYAS code.\cite{DragonPIJS2,DragonPIJS3,Stankovski} The +corresponding geometry is shown in \Fig{TCM02} where the cell numbers generated +by DRAGON are shown. + +\listing{TCM02.x2m} + +\subsubsection{\tst(TCM03) -- Watanabe and Maynard problem with a void region.} + +\begin{figure}[h!] +\begin{center} +\epsfxsize=10cm \centerline{ \epsffile{GTCM03.eps}} +\parbox{14cm}{\caption{Geometry for test case \tst(TCM03).} +\label{fig:TCM03}} \end{center} \end{figure} + +This test case is a one group problem with a central void region. This benchmark +was first proposed by Watanabe and Maynard. Akroyd and Riyait used it to +analyze the performance of various codes.\cite{DragonPIJS2,DragonPIJS3,Akroyd} + +\listing{TCM03.x2m} + +\subsubsection{\tst(TCM04) -- Adjuster rod in a CANDU type supercell.} + +\begin{figure}[h!] +\begin{center} +\epsfxsize=10cm \centerline{ \epsffile{GTCM04.eps}} +\parbox{14cm}{\caption{Geometry of the CANDU-6 supercell with stainless steel +rods.}\label{fig:TCM04}} +\end{center} +\end{figure} + +This test case represents a two group calculation of incremental cross sections +resulting from the insertion of stainless steel adjuster rods in a CANDU-6 +supercell. + +\listing{TCM04.x2m} + +\subsubsection{\tst(TCM05) -- Comparison of leakage models} + +This test presents various homogeneous and heterogeneous leakage models on a +simple cell. + +\listing{TCM05.x2m} + +\subsubsection{\tst(TCM06) -- Buckling search without fission source} + +This test is for an homogeneous water cell. A buckling eigenvalue problem is +solved in the abscence of fission source for the neutron flux distribution +inside this cell. + +\listing{TCM06.x2m} + +\subsubsection{\tst(TCM07) -- Test of boundary conditions} + +This test is for a 2--D Cartesian cell with refelctive and void boundary +conditions. + +\listing{TCM07.x2m} + +\subsubsection{\tst(TCM08) -- Fixed source problem with fission} + +This test is for a 2--D Cartesian cell which contains both a fission and a +fixed source. + +\listing{TCM08.x2m} + +\subsubsection{\tst(TCM09) -- Solution of a 2-D fission source problem using \moc{MCCGT:}}\label{sect:ExTCM09} + +This test case is for a $3\times 3$ Cartesian assembly in 2-D similar to TCM03. It is +solved using the method of cyclic characteristics. + +\listing{TCM09.x2m} + +\subsubsection{\tst(TCM10) -- Solution of a 2-D fixed source problem using \moc{MCCGT:}}\label{sect:ExTCM10} + +This test case is for a 2--D Cartesian assembly that contains a fixed source. It is solved +using the method of cyclic characteristics. + +\listing{TCM10.x2m} + +\subsubsection{\tst(TCM11) -- Comparison of CP and MoC solutions}\label{sect:ExTCM11} + +This test case is for a $4\times 4$ Cartesian assembly in 2-D. It is solved using the +method of cyclic characteristics and the method of collision probabilities using specular +(mirror like) boundary conditions. + +\listing{TCM11.x2m} + +\subsubsection{\tst(TCM12) - Solution of a 3-D problem using the \moc{MCU:} +module}\label{sect:ExTCM12} + +This test case is for a simplified 3-D Cartesian assembly analyzed using the \moc{EXCELT:}. A +collisions probability solution is generated as well as two solutions using the method of +characteristics. + +\listing{TCM12.x2m} + +\subsubsection{\tst(TCM13) - Hexagonal assembly with hexagonal cells containing clusters}\label{sect:ExTCM13} + +This test represents an example of a 2-D hexagonal assembly filled with triangular/hexagonal cells containing clusters (see \Fig{TCM13}) that can be analyzed with \moc{NXT:}. + +\begin{figure}[h!] +\begin{center} +\parbox{10.0cm}{\epsfxsize=10cm \epsffile{GTCM13.eps}} +\parbox{14cm}{\caption{Geometry of a 2-D hexagonal assembly filled with triangular/hexagonal cells.}\label{fig:TCM13}} +\end{center} +\end{figure} + +\listing{TCM13.x2m} + +\eject |
