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authorstainer_t <thomas.stainer@oecd-nea.org>2025-09-08 13:48:49 +0200
committerstainer_t <thomas.stainer@oecd-nea.org>2025-09-08 13:48:49 +0200
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+\subsection{The \moc{CRE:} module}\label{sect:cre}
+
+The \moc{CRE:} module is used for the recovering and interpolation of nuclear
+properties from one or many \dds{compo} objects, originated from the transport
+calculations using lattice code DRAGON. A resulting \dds{macrolib}
+will be created (or updated) by the \moc{CRE:} module, it will contain the nuclear
+properties of some selected reactor materials.\\
+
+\noindent
+Two types of \dds{macrolib} can be constructed using the \moc{CRE:} module:
+
+\begin{itemize}
+
+\item A \dds{macrolib} that will be constructed for the few reactor materials,
+namely for the devices and/or reflector properties. It can also be created for
+the few fuel regions defined in the reactor core. This \dds{macrolib} is
+permitted to be updated for the new properties in the subsequent calls to the
+\moc{CRE:} module.
+\item A fuel-map \dds{macrolib} that will be constructed over the fuel lattice
+only. This \dds{macrolib} will contain a set of interpolated fuel properties with
+respect to the burnup distribution over the fuel lattice and according to the
+interpolation option defined in the \dds{fmap} object. The total number of mixtures
+in the resulting \dds{macrolib} will equal to the total number of fuel bundles.
+\end{itemize}
+
+\noindent
+Note that the \moc{CRE:} module can be used only with the mono-parameter
+\dds{compo} objects and the nuclear properties can be interpolated only with
+respect to the burnup data. In case of the \dds{macrolib} construction from a
+multi-parameter database, the \moc{NCR:} module should be used instead.
+In this case, the interpolation of nuclear properties can be made with respect
+to global and local parameters, if they were previously specified in the fuel-map
+(see \Sect{resiniaram}).\\
+
+\noindent
+The \moc{CRE:} module specifications are:
+
+\begin{DataStructure}{Structure \moc{CRE:}}
+$\{$ \dusa{MACRO} \moc{:=} \moc{CRE:} $[$ \dusa{MACRO} $]$
+$[[$ \dusa{CPO} $]]$ \moc{::} \dstr{desccre1} $|$ \\
+~~~\dusa{MACFL} \moc{:=} \moc{CRE:} $[[$ \dusa{CPO} $]]$
+\dusa{FMAP} \moc{::} \dstr{desccre2} $\}$
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmmmm}
+
+\item[\dusa{MACRO}] \texttt{character*12} name of the \dds{macrolib}
+object to be created or updated for the few reactor material properties.
+Note that if \dusa{MACRO} appears on the RHS, the information previously
+stored in \dusa{MACRO} is kept.
+
+\item[\dusa{CPO}] \texttt{character*12} name of the \dds{compo} object
+containing the mono-parameter database from transport calculations.
+
+\item[\dusa{MACFL}] \texttt{character*12} name of the fuel-map \dds{macrolib}
+that will be created only for the fuel properties over the fuel lattice.
+
+\item[\dusa{FMAP}] \texttt{character*12} name of the \dds{fmap} object
+containing the fuel-map specification and burnup informations.
+
+\item[\dstr{desccre1}] structure describing the input data to the \moc{CRE:}
+module when the \dds{fmap} object is not specified.
+
+\item[\dstr{desccre2}] structure describing the input data to the \moc{CRE:}
+module for the fuel-map \dds{macrolib} construction.
+
+\end{ListeDeDescription}
+
+\subsubsection{Input data for the \moc{CRE:} module}
+
+\begin{DataStructure}{Structure \dstr{desccre1}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+$[$ \moc{NMIX} \dusa{nmix} $]$ \\
+\moc{READ} $[[$ \moc{COMPO} \dusa{CPO} \dstr{descdata1} $]]$ \\
+;
+\end{DataStructure}
+
+\begin{DataStructure}{Structure \dstr{desccre2}}
+$[$ \moc{EDIT} \dusa{iprint} $]$ \\
+\moc{READ} $[[$ \moc{TABLE} \dusa{CPO} \dstr{descdata2} $]]$ \\
+;
+\end{DataStructure}
+
+\goodbreak
+\noindent where
+\begin{ListeDeDescription}{mmmmmmmm}
+
+\item[\moc{EDIT}] keyword used to set \dusa{iprint}.
+
+\item[\dusa{iprint}] integer index used to control the printing of
+information on screen: = 0 for no print; = 1 for minimum printing;
+larger values will produce increasing amounts of output.
+
+\item[\moc{NMIX}] keyword used to define the number of material
+mixtures \dusa{nmix}. This data must be given only if \dusa{MACRO}
+is created and the \dds{fmap} object is not specified.
+
+\item[\dusa{nmix}] integer maximum number of reactor material mixtures,
+as defined in the reactor geometry.
+
+\item[\moc{READ}] keyword used to read the \dds{macrolib} specification
+from the input data file.
+
+\item[\moc{COMPO}] keyword used to indicate a simple \dds{macrolib} creation,
+i.e. according to the first calling specification when \dds{fmap} object is not specified.
+
+\item[\moc{TABLE}] keyword used to indicate a fuel-map \dds{macrolib} creation,
+i.e. according to the second calling specification with \dds{fmap} object specified.
+
+\item[\dusa{CPO}] \texttt{character*12} name of the selected \dds{compo} object.
+This name must appear in the calling specification to the \moc{CRE:} module.
+
+\item[\dstr{descdata1}] structure containing the interpolation specification if
+\moc{COMPO} is the selected option.
+
+\item[\dstr{descdata2}] structure containing the interpolation specification if
+\moc{TABLE} is the selected option.
+
+\end{ListeDeDescription}
+
+\begin{DataStructure}{Structure \dstr{descdata1}}
+$[[$ \moc{MIX} \dusa{mix} \dusa{NAMDIR} $~[$ \moc{DERIV} $]~[$ \moc{UPS} $]$ \\
+~~~~$[$ $\{$ \moc{I-BURNUP} \dusa{burn} $|$ \moc{T-BURNUP} \dusa{burn0} \dusa{burn1} $\}$ $]$ \\
+~~~~$[$ \moc{MICRO} $\{$ $[[$ \dusa{HISO} $\{$ \dusa{conc} $|$ \moc{*} $\}$ $]]~|$ \moc{ALL} $\}$ $]$ \\
+\moc{ENDMIX} $]]$
+\end{DataStructure}
+
+\begin{DataStructure}{Structure \dstr{descdata2}}
+$[[$ \moc{MIX} \dusa{mix} \dusa{NAMDIR} $~[$ \moc{DERIV} $]~[$ \moc{UPS} $]$ \\
+~~~~$[~\{$~\moc{TIMAV-BURN} $|$ \moc{INST-BURN} $|$ \moc{AVG-EX-BURN}~\dusa{ivarty}~$\}~]$ \\
+~~~~$[$ \moc{MICRO} $\{$ $[[$ \dusa{HISO} $\{$ \dusa{conc} $|$ \moc{*} $\}$ $]]~|$ \moc{ALL} $\}$ $]$ \\
+\moc{ENDMIX} $]]$
+\end{DataStructure}
+
+\noindent where
+\begin{ListeDeDescription}{mmmmmmmm}
+
+\item[\moc{MIX}] keyword used to set the material mixture \dusa{mix}.
+
+\item[\dusa{mix}] integer identifier for the material mixture that will be
+included in the \dds{macrolib}. The maximum number of identifiers
+permitted is \dusa{nmix} and the maximum value that \dusa{mix} may
+have is \dusa{nmix}. Note that if \moc{TABLE} is the selected option,
+then \dusa{mix} identifies the fuel type as defined in the reactor geometry.
+
+\item[\dusa{NAMDIR}] \texttt{character*12} directory name in the
+\dusa{CPO} object from which the nuclear properties for material
+mixture \dusa{mix} are to be recovered.
+
+\item[\moc{DERIV}] keyword used to compute the derivative of the
+\dds{macrolib} information with respect to \dusa{burn} or \dusa{burn1}
+value. By default, the \dds{macrolib} information is not differentiated.
+
+\item[\moc{UPS}] keyword used to compute properties with no
+up-scattering contribution.
+
+\item[\moc{TIMAV-BURN}] keyword used to compute time-averaged cross-section information.
+This option is available {\sl only if} \moc{TABLE} is the selected option.
+By default, the type of calculation (\moc{TIMAV-BURN} or \moc{INST-BURN})
+is recovered from the \dusa{FMAP} object.
+
+\item[\moc{INST-BURN}] keyword used to compute cross-section information
+at specific bundle burnups. This option is available {\sl only if} \moc{TABLE} is the selected option.
+By default, the type of calculation (\moc{TIMAV-BURN} or \moc{INST-BURN})
+is recovered from the \dusa{FMAP} object.
+
+\item[\moc{AVG-EX-BURN}] keyword used to compute the derivatives of cross-section
+information relative to the exit burnup of a single combustion zone. The derivatives are
+computed using Eq.~(3.3) of Ref.~\citen{chambon}, written as
+$$
+{\partial \bar\Sigma_x\over \partial B_j^{\rm e}}={1\over B_j^{\rm e}\, (B_{j,k}^{\rm eoc}-B_{j,k}^{\rm boc})}
+\left[- \int_{B_{j,k}^{\rm boc}}^{B_{j,k}^{\rm eoc}}dB \, \Sigma_x(B)+B_{j,k}^{\rm eoc}\, \Sigma_x(B_{j,k}^{\rm eoc})-B_{j,k}^{\rm boc}\, \Sigma_x(B_{j,k}^{\rm boc})\right]
+$$
+
+\noindent where $B_{j,k}^{\rm boc}$, $B_{j,k}^{\rm eoc}$, and $B_j^{\rm e}$ are the beginning of cycle burnup of bundle $\{j,k\}$, end of cycle burnup of bundle $\{j,k\}$ and exit burnup of channel $j$. This option is available {\sl only if} \moc{TABLE} is the selected option.
+
+\item[\dusa{ivarty}] index of the combustion zone for differentiation of cross-section information.
+
+\item[\moc{I-BURNUP}] keyword used to perform a single interpolation
+and to set the burnup interpolation value \dusa{burn}.
+
+\item[\dusa{burn}] real interpolation value of the burnup, given in
+MW$\cdot$day per tonne of initial heavy elements.
+
+\item[\moc{T-BURNUP}] keyword used to perform a time-average
+\dds{macrolib} evaluation between the burnup values \dusa{burn0}
+and \dusa{burn1}.
+
+\item[\dusa{burn0}] real initial value of the burnup, given in MW$\cdot$day
+per tonne of initial heavy elements.
+
+\item[\dusa{burn1}] real final value of the burnup, given in MW$\cdot$day
+per tonne of initial heavy elements.
+
+\item[\moc{MICRO}] keyword used to set the number densities of the extracted
+isotopes present in the \dds{compo} linked list or \dds{xsm} file. By default, the
+extracted isotopes are not added to the resulting \dds{macrolib}.
+
+\item[\dusa{HISO}] \texttt{character*12} name of an extracted isotope.
+
+\item[\dusa{conc}] user-defined real number density of the extracted isotope,
+given in $10^{24}$ particles per ${\rm cm}^3$.
+
+\item[\moc{*}] keyword used to indicate that the number density for the
+isotope \dusa{HISO} will be recovered from the \dds{compo} object.
+
+\item[\moc{ALL}] keyword used to indicate that all the number densities are to
+be recovered from the \dds{compo} object.
+
+\item[\moc{ENDMIX}] keyword used to indicate the end of data specification
+for the material mixture \dusa{mix}.
+
+\end{ListeDeDescription}
+\clearpage