\hypertarget{interfacemom__eos__linear_1_1calculate__density__second__derivs__linear}{}\section{mom\+\_\+eos\+\_\+linear\+:\+:calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+linear Interface Reference} \label{interfacemom__eos__linear_1_1calculate__density__second__derivs__linear}\index{mom\+\_\+eos\+\_\+linear\+::calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+linear@{mom\+\_\+eos\+\_\+linear\+::calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+linear}} \subsection{Detailed Description} For a given thermodynamic state, return the second derivatives of density with various combinations of temperature, salinity, and pressure. Note that with a simple linear equation of state these second derivatives are all 0. Definition at line 47 of file M\+O\+M\+\_\+\+E\+O\+S\+\_\+linear.\+F90. \subsection*{Private functions} \begin{DoxyCompactItemize} \item subroutine \mbox{\hyperlink{interfacemom__eos__linear_1_1calculate__density__second__derivs__linear_a86829db3ebbd03e8c69a8f6ef1625a45}{calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+scalar\+\_\+linear}} (T, S, pressure, drho\+\_\+d\+S\+\_\+dS, drho\+\_\+d\+S\+\_\+dT, drho\+\_\+d\+T\+\_\+dT, drho\+\_\+d\+S\+\_\+dP, drho\+\_\+d\+T\+\_\+dP) \begin{DoxyCompactList}\small\item\em This subroutine calculates the five, partial second derivatives of density w.\+r.\+t. potential temperature and salinity and pressure which for a linear equation of state should all be 0. \end{DoxyCompactList}\item subroutine \mbox{\hyperlink{interfacemom__eos__linear_1_1calculate__density__second__derivs__linear_abc2a8f322800ad9abb422cb31c98fcdd}{calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+array\+\_\+linear}} (T, S, pressure, drho\+\_\+d\+S\+\_\+dS, drho\+\_\+d\+S\+\_\+dT, drho\+\_\+d\+T\+\_\+dT, drho\+\_\+d\+S\+\_\+dP, drho\+\_\+d\+T\+\_\+dP, start, npts) \begin{DoxyCompactList}\small\item\em This subroutine calculates the five, partial second derivatives of density w.\+r.\+t. potential temperature and salinity and pressure which for a linear equation of state should all be 0. \end{DoxyCompactList}\end{DoxyCompactItemize} \subsection{Detailed Description} For a given thermodynamic state, return the second derivatives of density with various combinations of temperature, salinity, and pressure. Note that with a simple linear equation of state these second derivatives are all 0. Definition at line 47 of file M\+O\+M\+\_\+\+E\+O\+S\+\_\+linear.\+F90. \subsection{Functions and subroutines} \mbox{\Hypertarget{interfacemom__eos__linear_1_1calculate__density__second__derivs__linear_abc2a8f322800ad9abb422cb31c98fcdd}\label{interfacemom__eos__linear_1_1calculate__density__second__derivs__linear_abc2a8f322800ad9abb422cb31c98fcdd}} \index{mom\+\_\+eos\+\_\+linear\+::calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+linear@{mom\+\_\+eos\+\_\+linear\+::calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+linear}!calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+array\+\_\+linear@{calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+array\+\_\+linear}} \index{calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+array\+\_\+linear@{calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+array\+\_\+linear}!mom\+\_\+eos\+\_\+linear\+::calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+linear@{mom\+\_\+eos\+\_\+linear\+::calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+linear}} \subsubsection{\texorpdfstring{calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+array\+\_\+linear()}{calculate\_density\_second\_derivs\_array\_linear()}} {\footnotesize\ttfamily subroutine mom\+\_\+eos\+\_\+linear\+::calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+linear\+::calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+array\+\_\+linear (\begin{DoxyParamCaption}\item[{real, dimension(\+:), intent(in)}]{T, }\item[{real, dimension(\+:), intent(in)}]{S, }\item[{real, dimension(\+:), intent(in)}]{pressure, }\item[{real, dimension(\+:), intent(out)}]{drho\+\_\+d\+S\+\_\+dS, }\item[{real, dimension(\+:), intent(out)}]{drho\+\_\+d\+S\+\_\+dT, }\item[{real, dimension(\+:), intent(out)}]{drho\+\_\+d\+T\+\_\+dT, }\item[{real, dimension(\+:), intent(out)}]{drho\+\_\+d\+S\+\_\+dP, }\item[{real, dimension(\+:), intent(out)}]{drho\+\_\+d\+T\+\_\+dP, }\item[{integer, intent(in)}]{start, }\item[{integer, intent(in)}]{npts }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [private]}} This subroutine calculates the five, partial second derivatives of density w.\+r.\+t. potential temperature and salinity and pressure which for a linear equation of state should all be 0. \begin{DoxyParams}[1]{Parameters} \mbox{\tt in} & {\em t} & Potential temperature relative to the surface \mbox{[}degC\mbox{]}.\\ \hline \mbox{\tt in} & {\em s} & Salinity \mbox{[}P\+SU\mbox{]}.\\ \hline \mbox{\tt in} & {\em pressure} & pressure \mbox{[}Pa\mbox{]}.\\ \hline \mbox{\tt out} & {\em drho\+\_\+ds\+\_\+ds} & The second derivative of density with salinity \mbox{[}kg m-\/3 P\+S\+U-\/2\mbox{]}.\\ \hline \mbox{\tt out} & {\em drho\+\_\+ds\+\_\+dt} & The second derivative of density with temperature and salinity \mbox{[}kg m-\/3 ppt-\/1 deg\+C-\/1\mbox{]}.\\ \hline \mbox{\tt out} & {\em drho\+\_\+dt\+\_\+dt} & The second derivative of density with temperature \mbox{[}kg m-\/3 deg\+C-\/2\mbox{]}.\\ \hline \mbox{\tt out} & {\em drho\+\_\+ds\+\_\+dp} & The second derivative of density with salinity and pressure \mbox{[}kg m-\/3 P\+S\+U-\/1 Pa-\/1\mbox{]}.\\ \hline \mbox{\tt out} & {\em drho\+\_\+dt\+\_\+dp} & The second derivative of density with temperature and pressure \mbox{[}kg m-\/3 deg\+C-\/1 Pa-\/1\mbox{]}.\\ \hline \mbox{\tt in} & {\em start} & The starting point in the arrays.\\ \hline \mbox{\tt in} & {\em npts} & The number of values to calculate. \\ \hline \end{DoxyParams} Definition at line 238 of file M\+O\+M\+\_\+\+E\+O\+S\+\_\+linear.\+F90. \begin{DoxyCode} 238 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(in)} :: T\textcolor{comment}{ !< Potential temperature relative to the surface [degC].} 239 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(in)} :: S\textcolor{comment}{ !< Salinity [PSU].} 240 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(in)} :: pressure\textcolor{comment}{ !< pressure [Pa].} 241 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(out)} :: drho\_dS\_dS\textcolor{comment}{ !< The second derivative of density with} 242 \textcolor{comment}{ !! salinity [kg m-3 PSU-2].} 243 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(out)} :: drho\_dS\_dT\textcolor{comment}{ !< The second derivative of density with} 244 \textcolor{comment}{ !! temperature and salinity [kg m-3 ppt-1 degC-1].} 245 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(out)} :: drho\_dT\_dT\textcolor{comment}{ !< The second derivative of density with} 246 \textcolor{comment}{ !! temperature [kg m-3 degC-2].} 247 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(out)} :: drho\_dS\_dP\textcolor{comment}{ !< The second derivative of density with} 248 \textcolor{comment}{ !! salinity and pressure [kg m-3 PSU-1 Pa-1].} 249 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(out)} :: drho\_dT\_dP\textcolor{comment}{ !< The second derivative of density with} 250 \textcolor{comment}{ !! temperature and pressure [kg m-3 degC-1 Pa-1].} 251 \textcolor{keywordtype}{integer}, \textcolor{keywordtype}{intent(in)} :: start\textcolor{comment}{ !< The starting point in the arrays.} 252 \textcolor{keywordtype}{integer}, \textcolor{keywordtype}{intent(in)} :: npts\textcolor{comment}{ !< The number of values to calculate.} 253 \textcolor{comment}{! Local variables} 254 \textcolor{keywordtype}{integer} :: j 255 \textcolor{keywordflow}{do} j=start,start+npts-1 256 drho\_ds\_ds(j) = 0. 257 drho\_ds\_dt(j) = 0. 258 drho\_dt\_dt(j) = 0. 259 drho\_ds\_dp(j) = 0. 260 drho\_dt\_dp(j) = 0. 261 \textcolor{keywordflow}{ enddo} 262 \end{DoxyCode} \mbox{\Hypertarget{interfacemom__eos__linear_1_1calculate__density__second__derivs__linear_a86829db3ebbd03e8c69a8f6ef1625a45}\label{interfacemom__eos__linear_1_1calculate__density__second__derivs__linear_a86829db3ebbd03e8c69a8f6ef1625a45}} \index{mom\+\_\+eos\+\_\+linear\+::calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+linear@{mom\+\_\+eos\+\_\+linear\+::calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+linear}!calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+scalar\+\_\+linear@{calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+scalar\+\_\+linear}} \index{calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+scalar\+\_\+linear@{calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+scalar\+\_\+linear}!mom\+\_\+eos\+\_\+linear\+::calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+linear@{mom\+\_\+eos\+\_\+linear\+::calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+linear}} \subsubsection{\texorpdfstring{calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+scalar\+\_\+linear()}{calculate\_density\_second\_derivs\_scalar\_linear()}} {\footnotesize\ttfamily subroutine mom\+\_\+eos\+\_\+linear\+::calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+linear\+::calculate\+\_\+density\+\_\+second\+\_\+derivs\+\_\+scalar\+\_\+linear (\begin{DoxyParamCaption}\item[{real, intent(in)}]{T, }\item[{real, intent(in)}]{S, }\item[{real, intent(in)}]{pressure, }\item[{real, intent(out)}]{drho\+\_\+d\+S\+\_\+dS, }\item[{real, intent(out)}]{drho\+\_\+d\+S\+\_\+dT, }\item[{real, intent(out)}]{drho\+\_\+d\+T\+\_\+dT, }\item[{real, intent(out)}]{drho\+\_\+d\+S\+\_\+dP, }\item[{real, intent(out)}]{drho\+\_\+d\+T\+\_\+dP }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [private]}} This subroutine calculates the five, partial second derivatives of density w.\+r.\+t. potential temperature and salinity and pressure which for a linear equation of state should all be 0. \begin{DoxyParams}[1]{Parameters} \mbox{\tt in} & {\em t} & Potential temperature relative to the surface \mbox{[}degC\mbox{]}.\\ \hline \mbox{\tt in} & {\em s} & Salinity \mbox{[}P\+SU\mbox{]}.\\ \hline \mbox{\tt in} & {\em pressure} & pressure \mbox{[}Pa\mbox{]}.\\ \hline \mbox{\tt out} & {\em drho\+\_\+ds\+\_\+ds} & The second derivative of density with salinity \mbox{[}kg m-\/3 P\+S\+U-\/2\mbox{]}.\\ \hline \mbox{\tt out} & {\em drho\+\_\+ds\+\_\+dt} & The second derivative of density with temperature and salinity \mbox{[}kg m-\/3 ppt-\/1 deg\+C-\/1\mbox{]}.\\ \hline \mbox{\tt out} & {\em drho\+\_\+dt\+\_\+dt} & The second derivative of density with temperature \mbox{[}kg m-\/3 deg\+C-\/2\mbox{]}.\\ \hline \mbox{\tt out} & {\em drho\+\_\+ds\+\_\+dp} & The second derivative of density with salinity and pressure \mbox{[}kg m-\/3 P\+S\+U-\/1 Pa-\/1\mbox{]}.\\ \hline \mbox{\tt out} & {\em drho\+\_\+dt\+\_\+dp} & The second derivative of density with temperature and pressure \mbox{[}kg m-\/3 deg\+C-\/1 Pa-\/1\mbox{]}. \\ \hline \end{DoxyParams} Definition at line 212 of file M\+O\+M\+\_\+\+E\+O\+S\+\_\+linear.\+F90. \begin{DoxyCode} 212 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)} :: T\textcolor{comment}{ !< Potential temperature relative to the surface [degC].} 213 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)} :: S\textcolor{comment}{ !< Salinity [PSU].} 214 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)} :: pressure\textcolor{comment}{ !< pressure [Pa].} 215 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(out)} :: drho\_dS\_dS\textcolor{comment}{ !< The second derivative of density with} 216 \textcolor{comment}{ !! salinity [kg m-3 PSU-2].} 217 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(out)} :: drho\_dS\_dT\textcolor{comment}{ !< The second derivative of density with} 218 \textcolor{comment}{ !! temperature and salinity [kg m-3 ppt-1 degC-1].} 219 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(out)} :: drho\_dT\_dT\textcolor{comment}{ !< The second derivative of density with} 220 \textcolor{comment}{ !! temperature [kg m-3 degC-2].} 221 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(out)} :: drho\_dS\_dP\textcolor{comment}{ !< The second derivative of density with} 222 \textcolor{comment}{ !! salinity and pressure [kg m-3 PSU-1 Pa-1].} 223 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(out)} :: drho\_dT\_dP\textcolor{comment}{ !< The second derivative of density with} 224 \textcolor{comment}{ !! temperature and pressure [kg m-3 degC-1 Pa-1].} 225 226 drho\_ds\_ds = 0. 227 drho\_ds\_dt = 0. 228 drho\_dt\_dt = 0. 229 drho\_ds\_dp = 0. 230 drho\_dt\_dp = 0. 231 \end{DoxyCode} The documentation for this interface was generated from the following file\+:\begin{DoxyCompactItemize} \item /home/cermak/src/\+M\+O\+M6.\+devrob/src/equation\+\_\+of\+\_\+state/M\+O\+M\+\_\+\+E\+O\+S\+\_\+linear.\+F90\end{DoxyCompactItemize}