\hypertarget{namespacemom__eos__unesco}{}\section{mom\+\_\+eos\+\_\+unesco Module Reference} \label{namespacemom__eos__unesco}\index{mom\+\_\+eos\+\_\+unesco@{mom\+\_\+eos\+\_\+unesco}} \subsection{Detailed Description} The equation of state using the Jackett and Mc\+Dougall fits to the U\+N\+E\+S\+CO E\+OS. \subsection*{Data Types} \begin{DoxyCompactItemize} \item interface \hyperlink{interfacemom__eos__unesco_1_1calculate__density__unesco}{calculate\+\_\+density\+\_\+unesco} \begin{DoxyCompactList}\small\item\em Compute the in situ density of sea water (in \mbox{[}kg m-\/3\mbox{]}), or its anomaly with respect to a reference density, from salinity \mbox{[}P\+SU\mbox{]}, potential temperature \mbox{[}degC\mbox{]}, and pressure \mbox{[}Pa\mbox{]}, using the U\+N\+E\+S\+CO (1981) equation of state. \end{DoxyCompactList}\item interface \hyperlink{interfacemom__eos__unesco_1_1calculate__spec__vol__unesco}{calculate\+\_\+spec\+\_\+vol\+\_\+unesco} \begin{DoxyCompactList}\small\item\em Compute the in situ specific volume of sea water (in \mbox{[}m3 kg-\/1\mbox{]}), or an anomaly with respect to a reference specific volume, from salinity \mbox{[}P\+SU\mbox{]}, potential temperature \mbox{[}degC\mbox{]}, and pressure \mbox{[}Pa\mbox{]}, using the U\+N\+E\+S\+CO (1981) equation of state. \end{DoxyCompactList}\end{DoxyCompactItemize} \subsection*{Functions/\+Subroutines} \begin{DoxyCompactItemize} \item subroutine, public \hyperlink{namespacemom__eos__unesco_a5b0789ed1bfd40e09ba994b656c14f47}{calculate\+\_\+density\+\_\+scalar\+\_\+unesco} (T, S, pressure, rho, rho\+\_\+ref) \begin{DoxyCompactList}\small\item\em This subroutine computes the in situ density of sea water (rho in \mbox{[}kg m-\/3\mbox{]}) from salinity (S \mbox{[}P\+SU\mbox{]}), potential temperature (T \mbox{[}degC\mbox{]}), and pressure \mbox{[}Pa\mbox{]}, using the U\+N\+E\+S\+CO (1981) equation of state. \end{DoxyCompactList}\item subroutine, public \hyperlink{namespacemom__eos__unesco_a2a6110741c62f2f3a2df31fa88a63ce5}{calculate\+\_\+density\+\_\+array\+\_\+unesco} (T, S, pressure, rho, start, npts, rho\+\_\+ref) \begin{DoxyCompactList}\small\item\em This subroutine computes the in situ density of sea water (rho in \mbox{[}kg m-\/3\mbox{]}) from salinity (S \mbox{[}P\+SU\mbox{]}), potential temperature (T \mbox{[}degC\mbox{]}), and pressure \mbox{[}Pa\mbox{]}, using the U\+N\+E\+S\+CO (1981) equation of state. \end{DoxyCompactList}\item subroutine \hyperlink{namespacemom__eos__unesco_a79b131a4287b138ebf37883d60b334be}{calculate\+\_\+spec\+\_\+vol\+\_\+scalar\+\_\+unesco} (T, S, pressure, specvol, spv\+\_\+ref) \begin{DoxyCompactList}\small\item\em This subroutine computes the in situ specific volume of sea water (specvol in \mbox{[}m3 kg-\/1\mbox{]}) from salinity (S \mbox{[}P\+SU\mbox{]}), potential temperature (T \mbox{[}degC\mbox{]}) and pressure \mbox{[}Pa\mbox{]}, using the U\+N\+E\+S\+CO (1981) equation of state. If spv\+\_\+ref is present, specvol is an anomaly from spv\+\_\+ref. \end{DoxyCompactList}\item subroutine \hyperlink{namespacemom__eos__unesco_ad8670960a4b8e83186468a7a8cfa860c}{calculate\+\_\+spec\+\_\+vol\+\_\+array\+\_\+unesco} (T, S, pressure, specvol, start, npts, spv\+\_\+ref) \begin{DoxyCompactList}\small\item\em This subroutine computes the in situ specific volume of sea water (specvol in \mbox{[}m3 kg-\/1\mbox{]}) from salinity (S \mbox{[}P\+SU\mbox{]}), potential temperature (T \mbox{[}degC\mbox{]}) and pressure \mbox{[}Pa\mbox{]}, using the U\+N\+E\+S\+CO (1981) equation of state. If spv\+\_\+ref is present, specvol is an anomaly from spv\+\_\+ref. \end{DoxyCompactList}\item subroutine, public \hyperlink{namespacemom__eos__unesco_af8666837abadea54c016bf59838f96cc}{calculate\+\_\+density\+\_\+derivs\+\_\+unesco} (T, S, pressure, drho\+\_\+dT, drho\+\_\+dS, start, npts) \begin{DoxyCompactList}\small\item\em This subroutine calculates the partial derivatives of density with potential temperature and salinity. \end{DoxyCompactList}\item subroutine, public \hyperlink{namespacemom__eos__unesco_a4a125f4eb70d4b2517dadd2f9446f261}{calculate\+\_\+compress\+\_\+unesco} (T, S, pressure, rho, drho\+\_\+dp, start, npts) \begin{DoxyCompactList}\small\item\em This subroutine computes the in situ density of sea water (rho) and the compressibility (drho/dp == C\+\_\+sound$^\wedge$-\/2) at the given salinity, potential temperature, and pressure. \end{DoxyCompactList}\end{DoxyCompactItemize} \subsection*{Variables} \textbf{ }\par \begin{DoxyCompactItemize} \item \mbox{\Hypertarget{namespacemom__eos__unesco_aec6e084959be0e936944d0ad891c6d62}\label{namespacemom__eos__unesco_aec6e084959be0e936944d0ad891c6d62}} real, parameter \hyperlink{namespacemom__eos__unesco_aec6e084959be0e936944d0ad891c6d62}{r00} = 999.\+842594 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a2cd01e2f6b03ef7e9f83ff295760a9b9}\label{namespacemom__eos__unesco_a2cd01e2f6b03ef7e9f83ff295760a9b9}} real, parameter \hyperlink{namespacemom__eos__unesco_a2cd01e2f6b03ef7e9f83ff295760a9b9}{r10} = 6.\+793952e-\/2 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a03cdfbb6ffe1295f75a0962f210264f0}\label{namespacemom__eos__unesco_a03cdfbb6ffe1295f75a0962f210264f0}} real, parameter \hyperlink{namespacemom__eos__unesco_a03cdfbb6ffe1295f75a0962f210264f0}{r20} = -\/9.\+095290e-\/3 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a53ab5287961e5e6329d3ed6fc1d37a81}\label{namespacemom__eos__unesco_a53ab5287961e5e6329d3ed6fc1d37a81}} real, parameter \hyperlink{namespacemom__eos__unesco_a53ab5287961e5e6329d3ed6fc1d37a81}{r30} = 1.\+001685e-\/4 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a6125e25418335e03aa90a9a2b2d4828c}\label{namespacemom__eos__unesco_a6125e25418335e03aa90a9a2b2d4828c}} real, parameter \hyperlink{namespacemom__eos__unesco_a6125e25418335e03aa90a9a2b2d4828c}{r40} = -\/1.\+120083e-\/6 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_afd464f37d2585d9b9d19a502f31da143}\label{namespacemom__eos__unesco_afd464f37d2585d9b9d19a502f31da143}} real, parameter \hyperlink{namespacemom__eos__unesco_afd464f37d2585d9b9d19a502f31da143}{r50} = 6.\+536332e-\/9 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a21cbd62d7d5b2c82ad779a78d8b2ea5f}\label{namespacemom__eos__unesco_a21cbd62d7d5b2c82ad779a78d8b2ea5f}} real, parameter \hyperlink{namespacemom__eos__unesco_a21cbd62d7d5b2c82ad779a78d8b2ea5f}{r01} = 0.\+824493 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a471b5c27e02179d06204389c943c3cc9}\label{namespacemom__eos__unesco_a471b5c27e02179d06204389c943c3cc9}} real, parameter \hyperlink{namespacemom__eos__unesco_a471b5c27e02179d06204389c943c3cc9}{r11} = -\/4.\+0899e-\/3 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_aa4f16455d8e01cd15bf0a70b1c99bfee}\label{namespacemom__eos__unesco_aa4f16455d8e01cd15bf0a70b1c99bfee}} real, parameter \hyperlink{namespacemom__eos__unesco_aa4f16455d8e01cd15bf0a70b1c99bfee}{r21} = 7.\+6438e-\/5 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a5b5aa71cbb00ec747a5aa4a5de47552c}\label{namespacemom__eos__unesco_a5b5aa71cbb00ec747a5aa4a5de47552c}} real, parameter \hyperlink{namespacemom__eos__unesco_a5b5aa71cbb00ec747a5aa4a5de47552c}{r31} = -\/8.\+2467e-\/7 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_af249a1551c05c88ec890d670d5f5a134}\label{namespacemom__eos__unesco_af249a1551c05c88ec890d670d5f5a134}} real, parameter \hyperlink{namespacemom__eos__unesco_af249a1551c05c88ec890d670d5f5a134}{r41} = 5.\+3875e-\/9 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a19bb4cf1c40cdc4d11f1b2b0b5ae85be}\label{namespacemom__eos__unesco_a19bb4cf1c40cdc4d11f1b2b0b5ae85be}} real, parameter \hyperlink{namespacemom__eos__unesco_a19bb4cf1c40cdc4d11f1b2b0b5ae85be}{r032} = -\/5.\+72466e-\/3 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_acd0b5c8a3f0d0fe2410293a8aef56715}\label{namespacemom__eos__unesco_acd0b5c8a3f0d0fe2410293a8aef56715}} real, parameter \hyperlink{namespacemom__eos__unesco_acd0b5c8a3f0d0fe2410293a8aef56715}{r132} = 1.\+0227e-\/4 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a8b7723564316382dbceef38208f70de7}\label{namespacemom__eos__unesco_a8b7723564316382dbceef38208f70de7}} real, parameter \hyperlink{namespacemom__eos__unesco_a8b7723564316382dbceef38208f70de7}{r232} = -\/1.\+6546e-\/6 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a94bb3f3888f682d53543ee30ef028260}\label{namespacemom__eos__unesco_a94bb3f3888f682d53543ee30ef028260}} real, parameter \hyperlink{namespacemom__eos__unesco_a94bb3f3888f682d53543ee30ef028260}{r02} = 4.\+8314e-\/4 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_acd7297cabc3b57e9b1721f0f91225569}\label{namespacemom__eos__unesco_acd7297cabc3b57e9b1721f0f91225569}} real, parameter \hyperlink{namespacemom__eos__unesco_acd7297cabc3b57e9b1721f0f91225569}{s00} = 1.\+965933e4 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a99bec4e2325df9ce1090e921c11da721}\label{namespacemom__eos__unesco_a99bec4e2325df9ce1090e921c11da721}} real, parameter \hyperlink{namespacemom__eos__unesco_a99bec4e2325df9ce1090e921c11da721}{s10} = 1.\+444304e2 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_aeb15ea9fc69a5b7d8e5fec943800e700}\label{namespacemom__eos__unesco_aeb15ea9fc69a5b7d8e5fec943800e700}} real, parameter \hyperlink{namespacemom__eos__unesco_aeb15ea9fc69a5b7d8e5fec943800e700}{s20} = -\/1.\+706103 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_aa6ee6c8687a061a4e41a1170bb292984}\label{namespacemom__eos__unesco_aa6ee6c8687a061a4e41a1170bb292984}} real, parameter \hyperlink{namespacemom__eos__unesco_aa6ee6c8687a061a4e41a1170bb292984}{s30} = 9.\+648704e-\/3 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_ab08e679ce5233cfd9f9b0d8f07be2871}\label{namespacemom__eos__unesco_ab08e679ce5233cfd9f9b0d8f07be2871}} real, parameter \hyperlink{namespacemom__eos__unesco_ab08e679ce5233cfd9f9b0d8f07be2871}{s40} = -\/4.\+190253e-\/5 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a7c8bf673dc04d9eff9de82b46ece1da1}\label{namespacemom__eos__unesco_a7c8bf673dc04d9eff9de82b46ece1da1}} real, parameter \hyperlink{namespacemom__eos__unesco_a7c8bf673dc04d9eff9de82b46ece1da1}{s01} = 52.\+84855 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a6eea431cb8c60088ff34612a2c21a345}\label{namespacemom__eos__unesco_a6eea431cb8c60088ff34612a2c21a345}} real, parameter \hyperlink{namespacemom__eos__unesco_a6eea431cb8c60088ff34612a2c21a345}{s11} = -\/3.\+101089e-\/1 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_af61b6fbd31740834ef24351d837af709}\label{namespacemom__eos__unesco_af61b6fbd31740834ef24351d837af709}} real, parameter \hyperlink{namespacemom__eos__unesco_af61b6fbd31740834ef24351d837af709}{s21} = 6.\+283263e-\/3 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a21cfa26bb3b1c8548ac83de8f23c4eb4}\label{namespacemom__eos__unesco_a21cfa26bb3b1c8548ac83de8f23c4eb4}} real, parameter \hyperlink{namespacemom__eos__unesco_a21cfa26bb3b1c8548ac83de8f23c4eb4}{s31} = -\/5.\+084188e-\/5 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a31b71a7ae41ce3411886dec9c50c4865}\label{namespacemom__eos__unesco_a31b71a7ae41ce3411886dec9c50c4865}} real, parameter \hyperlink{namespacemom__eos__unesco_a31b71a7ae41ce3411886dec9c50c4865}{s032} = 3.\+886640e-\/1 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a011f47b227a0234dccb56f9bfb0dfa35}\label{namespacemom__eos__unesco_a011f47b227a0234dccb56f9bfb0dfa35}} real, parameter \hyperlink{namespacemom__eos__unesco_a011f47b227a0234dccb56f9bfb0dfa35}{s132} = 9.\+085835e-\/3 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_aa122b14d1144ede0d9e3495c8e1b0c76}\label{namespacemom__eos__unesco_aa122b14d1144ede0d9e3495c8e1b0c76}} real, parameter \hyperlink{namespacemom__eos__unesco_aa122b14d1144ede0d9e3495c8e1b0c76}{s232} = -\/4.\+619924e-\/4 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a780d61948abdd06131af986b9dd4261c}\label{namespacemom__eos__unesco_a780d61948abdd06131af986b9dd4261c}} real, parameter \hyperlink{namespacemom__eos__unesco_a780d61948abdd06131af986b9dd4261c}{sp00} = 3.\+186519 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a242150f9e3c9f00af96a10875286e37f}\label{namespacemom__eos__unesco_a242150f9e3c9f00af96a10875286e37f}} real, parameter \hyperlink{namespacemom__eos__unesco_a242150f9e3c9f00af96a10875286e37f}{sp10} = 2.\+212276e-\/2 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_ae0abcb6e0cf59b852b2d7879e843bd44}\label{namespacemom__eos__unesco_ae0abcb6e0cf59b852b2d7879e843bd44}} real, parameter \hyperlink{namespacemom__eos__unesco_ae0abcb6e0cf59b852b2d7879e843bd44}{sp20} = -\/2.\+984642e-\/4 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a14fee87c2a3377b31c972d0c9b45240f}\label{namespacemom__eos__unesco_a14fee87c2a3377b31c972d0c9b45240f}} real, parameter \hyperlink{namespacemom__eos__unesco_a14fee87c2a3377b31c972d0c9b45240f}{sp30} = 1.\+956415e-\/6 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a603ea153deede9c22ecac87308a2f43c}\label{namespacemom__eos__unesco_a603ea153deede9c22ecac87308a2f43c}} real, parameter \hyperlink{namespacemom__eos__unesco_a603ea153deede9c22ecac87308a2f43c}{sp01} = 6.\+704388e-\/3 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a7921c1315bf09f66fd94b4b9b44e7bf6}\label{namespacemom__eos__unesco_a7921c1315bf09f66fd94b4b9b44e7bf6}} real, parameter \hyperlink{namespacemom__eos__unesco_a7921c1315bf09f66fd94b4b9b44e7bf6}{sp11} = -\/1.\+847318e-\/4 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a2a4329c556b9330f700317c565eae602}\label{namespacemom__eos__unesco_a2a4329c556b9330f700317c565eae602}} real, parameter \hyperlink{namespacemom__eos__unesco_a2a4329c556b9330f700317c565eae602}{sp21} = 2.\+059331e-\/7 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a12af7ba7ec15677f56927642acb1f6a0}\label{namespacemom__eos__unesco_a12af7ba7ec15677f56927642acb1f6a0}} real, parameter \hyperlink{namespacemom__eos__unesco_a12af7ba7ec15677f56927642acb1f6a0}{sp032} = 1.\+480266e-\/4 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_aae8e246add86a07cfd0a898218842aa7}\label{namespacemom__eos__unesco_aae8e246add86a07cfd0a898218842aa7}} real, parameter \hyperlink{namespacemom__eos__unesco_aae8e246add86a07cfd0a898218842aa7}{sp000} = 2.\+102898e-\/4 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a0ebb1ea5db199f9a340878c4e17268cf}\label{namespacemom__eos__unesco_a0ebb1ea5db199f9a340878c4e17268cf}} real, parameter \hyperlink{namespacemom__eos__unesco_a0ebb1ea5db199f9a340878c4e17268cf}{sp010} = -\/1.\+202016e-\/5 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_a57bd745187bfb038d9720e53a6fb67db}\label{namespacemom__eos__unesco_a57bd745187bfb038d9720e53a6fb67db}} real, parameter \hyperlink{namespacemom__eos__unesco_a57bd745187bfb038d9720e53a6fb67db}{sp020} = 1.\+394680e-\/7 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_aa0d0ecdb59955f69cf57d51fd73912b3}\label{namespacemom__eos__unesco_aa0d0ecdb59955f69cf57d51fd73912b3}} real, parameter \hyperlink{namespacemom__eos__unesco_aa0d0ecdb59955f69cf57d51fd73912b3}{sp001} = -\/2.\+040237e-\/6 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_ade7b24ca7125a6f423c37780b2e926d3}\label{namespacemom__eos__unesco_ade7b24ca7125a6f423c37780b2e926d3}} real, parameter \hyperlink{namespacemom__eos__unesco_ade7b24ca7125a6f423c37780b2e926d3}{sp011} = 6.\+128773e-\/8 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\item \mbox{\Hypertarget{namespacemom__eos__unesco_ac84a751711cc095ccd72261ac5abe0ca}\label{namespacemom__eos__unesco_ac84a751711cc095ccd72261ac5abe0ca}} real, parameter \hyperlink{namespacemom__eos__unesco_ac84a751711cc095ccd72261ac5abe0ca}{sp021} = 6.\+207323e-\/10 \begin{DoxyCompactList}\small\item\em Parameters in the U\+N\+E\+S\+CO equation of state. \end{DoxyCompactList}\end{DoxyCompactItemize} \subsection{Function/\+Subroutine Documentation} \mbox{\Hypertarget{namespacemom__eos__unesco_a4a125f4eb70d4b2517dadd2f9446f261}\label{namespacemom__eos__unesco_a4a125f4eb70d4b2517dadd2f9446f261}} \index{mom\+\_\+eos\+\_\+unesco@{mom\+\_\+eos\+\_\+unesco}!calculate\+\_\+compress\+\_\+unesco@{calculate\+\_\+compress\+\_\+unesco}} \index{calculate\+\_\+compress\+\_\+unesco@{calculate\+\_\+compress\+\_\+unesco}!mom\+\_\+eos\+\_\+unesco@{mom\+\_\+eos\+\_\+unesco}} \subsubsection{\texorpdfstring{calculate\+\_\+compress\+\_\+unesco()}{calculate\_compress\_unesco()}} {\footnotesize\ttfamily subroutine, public mom\+\_\+eos\+\_\+unesco\+::calculate\+\_\+compress\+\_\+unesco (\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)}]{rho, }\item[{real, dimension(\+:), intent(out)}]{drho\+\_\+dp, }\item[{integer, intent(in)}]{start, }\item[{integer, intent(in)}]{npts }\end{DoxyParamCaption})} This subroutine computes the in situ density of sea water (rho) and the compressibility (drho/dp == C\+\_\+sound$^\wedge$-\/2) at the given salinity, potential temperature, and pressure. \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 rho} & In situ density \mbox{[}kg m-\/3\mbox{]}.\\ \hline \mbox{\tt out} & {\em drho\+\_\+dp} & The partial derivative of density with pressure (also the inverse of the square of sound speed) \mbox{[}s2 m-\/2\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 284 of file M\+O\+M\+\_\+\+E\+O\+S\+\_\+\+U\+N\+E\+S\+C\+O.\+F90. \begin{DoxyCode} 284 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)}, \textcolor{keywordtype}{dimension(:)} :: t\textcolor{comment}{ !< Potential temperature relative to the surface} 285 \textcolor{comment}{ !! [degC].} 286 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)}, \textcolor{keywordtype}{dimension(:)} :: s\textcolor{comment}{ !< Salinity [PSU].} 287 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)}, \textcolor{keywordtype}{dimension(:)} :: pressure\textcolor{comment}{ !< Pressure [Pa].} 288 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(out)}, \textcolor{keywordtype}{dimension(:)} :: rho\textcolor{comment}{ !< In situ density [kg m-3].} 289 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(out)}, \textcolor{keywordtype}{dimension(:)} :: drho\_dp\textcolor{comment}{ !< The partial derivative of density with pressure} 290 \textcolor{comment}{ !! (also the inverse of the square of sound speed)} 291 \textcolor{comment}{ !! [s2 m-2].} 292 \textcolor{keywordtype}{integer}, \textcolor{keywordtype}{intent(in)} :: start\textcolor{comment}{ !< The starting point in the arrays.} 293 \textcolor{keywordtype}{integer}, \textcolor{keywordtype}{intent(in)} :: npts\textcolor{comment}{ !< The number of values to calculate.} 294 295 \textcolor{comment}{! Local variables} 296 \textcolor{keywordtype}{real} :: t\_local, t2, t3, t4, t5 \textcolor{comment}{! Temperature to the 1st - 5th power [degC^n].} 297 \textcolor{keywordtype}{real} :: s\_local, s32, s2 \textcolor{comment}{! Salinity to the 1st, 3/2, & 2nd power [PSU^n].} 298 \textcolor{keywordtype}{real} :: p1, p2 \textcolor{comment}{! Pressure to the 1st & 2nd power [bar] and [bar2].} 299 \textcolor{keywordtype}{real} :: rho0 \textcolor{comment}{! Density at 1 bar pressure [kg m-3].} 300 \textcolor{keywordtype}{real} :: ks \textcolor{comment}{! The secant bulk modulus [bar].} 301 \textcolor{keywordtype}{real} :: ks\_0, ks\_1, ks\_2 302 \textcolor{keywordtype}{real} :: dks\_dp \textcolor{comment}{! The derivative of the secant bulk modulus} 303 \textcolor{comment}{! with pressure, nondimensional.} 304 \textcolor{keywordtype}{integer} :: j 305 306 \textcolor{keywordflow}{do} j=start,start+npts-1 307 \textcolor{keywordflow}{if} (s(j) < -1.0e-10) \textcolor{keywordflow}{then} \textcolor{comment}{!Can we assume safely that this is a missing value?} 308 rho(j) = 1000.0 ; drho\_dp(j) = 0.0 309 cycle 310 \textcolor{keywordflow}{ endif} 311 312 p1 = pressure(j)*1.0e-5; p2 = p1*p1 313 t\_local = t(j); t2 = t\_local*t\_local; t3 = t\_local*t2; t4 = t2*t2; t5 = t3*t2 314 s\_local = s(j); s2 = s\_local*s\_local; s32 = s\_local*sqrt(s\_local) 315 316 \textcolor{comment}{! Compute rho(s,theta,p=0) - (same as rho(s,t\_insitu,p=0) ).} 317 318 rho0 = r00 + r10*t\_local + r20*t2 + r30*t3 + r40*t4 + r50*t5 + & 319 s\_local*(r01 + r11*t\_local + r21*t2 + r31*t3 + r41*t4) + & 320 s32*(r032 + r132*t\_local + r232*t2) + r02*s2 321 322 \textcolor{comment}{! Compute rho(s,theta,p), first calculating the secant bulk modulus.} 323 ks\_0 = s00 + s10*t\_local + s20*t2 + s30*t3 + s40*t4 + & 324 s\_local*(s01 + s11*t\_local + s21*t2 + s31*t3) + s32*(s032 + s132*t\_local + s232*t2) 325 ks\_1 = sp00 + sp10*t\_local + sp20*t2 + sp30*t3 + & 326 s\_local*(sp01 + sp11*t\_local + sp21*t2) + sp032*s32 327 ks\_2 = sp000 + sp010*t\_local + sp020*t2 + s\_local*(sp001 + sp011*t\_local + sp021*t2) 328 329 ks = ks\_0 + p1*ks\_1 + p2*ks\_2 330 dks\_dp = ks\_1 + 2.0*p1*ks\_2 331 332 rho(j) = rho0*ks / (ks - p1) 333 \textcolor{comment}{! The factor of 1.0e-5 is because pressure here is in bars, not Pa.} 334 drho\_dp(j) = 1.0e-5 * (rho(j) / (ks - p1)) * (1.0 - dks\_dp*p1/ks) 335 \textcolor{keywordflow}{ enddo} \end{DoxyCode} \mbox{\Hypertarget{namespacemom__eos__unesco_a2a6110741c62f2f3a2df31fa88a63ce5}\label{namespacemom__eos__unesco_a2a6110741c62f2f3a2df31fa88a63ce5}} \index{mom\+\_\+eos\+\_\+unesco@{mom\+\_\+eos\+\_\+unesco}!calculate\+\_\+density\+\_\+array\+\_\+unesco@{calculate\+\_\+density\+\_\+array\+\_\+unesco}} \index{calculate\+\_\+density\+\_\+array\+\_\+unesco@{calculate\+\_\+density\+\_\+array\+\_\+unesco}!mom\+\_\+eos\+\_\+unesco@{mom\+\_\+eos\+\_\+unesco}} \subsubsection{\texorpdfstring{calculate\+\_\+density\+\_\+array\+\_\+unesco()}{calculate\_density\_array\_unesco()}} {\footnotesize\ttfamily subroutine, public mom\+\_\+eos\+\_\+unesco\+::calculate\+\_\+density\+\_\+array\+\_\+unesco (\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)}]{rho, }\item[{integer, intent(in)}]{start, }\item[{integer, intent(in)}]{npts, }\item[{real, intent(in), optional}]{rho\+\_\+ref }\end{DoxyParamCaption})} This subroutine computes the in situ density of sea water (rho in \mbox{[}kg m-\/3\mbox{]}) from salinity (S \mbox{[}P\+SU\mbox{]}), potential temperature (T \mbox{[}degC\mbox{]}), and pressure \mbox{[}Pa\mbox{]}, using the U\+N\+E\+S\+CO (1981) equation of state. \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 rho} & in situ density \mbox{[}kg m-\/3\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 \mbox{\tt in} & {\em rho\+\_\+ref} & A reference density \mbox{[}kg m-\/3\mbox{]}. \\ \hline \end{DoxyParams} Definition at line 83 of file M\+O\+M\+\_\+\+E\+O\+S\+\_\+\+U\+N\+E\+S\+C\+O.\+F90. \begin{DoxyCode} 83 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(in)} :: t\textcolor{comment}{ !< potential temperature relative to the surface [degC].} 84 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(in)} :: s\textcolor{comment}{ !< salinity [PSU].} 85 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(in)} :: pressure\textcolor{comment}{ !< pressure [Pa].} 86 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(out)} :: rho\textcolor{comment}{ !< in situ density [kg m-3].} 87 \textcolor{keywordtype}{integer}, \textcolor{keywordtype}{intent(in)} :: start\textcolor{comment}{ !< the starting point in the arrays.} 88 \textcolor{keywordtype}{integer}, \textcolor{keywordtype}{intent(in)} :: npts\textcolor{comment}{ !< the number of values to calculate.} 89 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{optional}, \textcolor{keywordtype}{intent(in)} :: rho\_ref\textcolor{comment}{ !< A reference density [kg m-3].} 90 91 \textcolor{comment}{! Local variables} 92 \textcolor{keywordtype}{real} :: t\_local, t2, t3, t4, t5 \textcolor{comment}{! Temperature to the 1st - 5th power [degC^n].} 93 \textcolor{keywordtype}{real} :: s\_local, s32, s2 \textcolor{comment}{! Salinity to the 1st, 3/2, & 2nd power [PSU^n].} 94 \textcolor{keywordtype}{real} :: p1, p2 \textcolor{comment}{! Pressure (in bars) to the 1st and 2nd power [bar] and [bar2].} 95 \textcolor{keywordtype}{real} :: rho0 \textcolor{comment}{! Density at 1 bar pressure [kg m-3].} 96 \textcolor{keywordtype}{real} :: sig0 \textcolor{comment}{! The anomaly of rho0 from R00 [kg m-3].} 97 \textcolor{keywordtype}{real} :: ks \textcolor{comment}{! The secant bulk modulus [bar].} 98 \textcolor{keywordtype}{integer} :: j 99 100 \textcolor{keywordflow}{do} j=start,start+npts-1 101 \textcolor{keywordflow}{if} (s(j) < -1.0e-10) \textcolor{keywordflow}{then} \textcolor{comment}{!Can we assume safely that this is a missing value?} 102 rho(j) = 1000.0 103 cycle 104 \textcolor{keywordflow}{ endif} 105 106 p1 = pressure(j)*1.0e-5; p2 = p1*p1 107 t\_local = t(j); t2 = t\_local*t\_local; t3 = t\_local*t2; t4 = t2*t2; t5 = t3*t2 108 s\_local = s(j); s2 = s\_local*s\_local; s32 = s\_local*sqrt(s\_local) 109 110 \textcolor{comment}{! Compute rho(s,theta,p=0) - (same as rho(s,t\_insitu,p=0) ).} 111 112 sig0 = r10*t\_local + r20*t2 + r30*t3 + r40*t4 + r50*t5 + & 113 s\_local*(r01 + r11*t\_local + r21*t2 + r31*t3 + r41*t4) + & 114 s32*(r032 + r132*t\_local + r232*t2) + r02*s2 115 rho0 = r00 + sig0 116 117 \textcolor{comment}{! Compute rho(s,theta,p), first calculating the secant bulk modulus.} 118 119 ks = s00 + s10*t\_local + s20*t2 + s30*t3 + s40*t4 + s\_local*(s01 + s11*t\_local + s21*t2 + s31*t3) + & 120 s32*(s032 + s132*t\_local + s232*t2) + & 121 p1*(sp00 + sp10*t\_local + sp20*t2 + sp30*t3 + & 122 s\_local*(sp01 + sp11*t\_local + sp21*t2) + sp032*s32) + & 123 p2*(sp000 + sp010*t\_local + sp020*t2 + s\_local*(sp001 + sp011*t\_local + sp021*t2)) 124 125 \textcolor{keywordflow}{if} (\textcolor{keyword}{present}(rho\_ref)) \textcolor{keywordflow}{then} 126 rho(j) = ((r00 - rho\_ref)*ks + (sig0*ks + p1*rho\_ref)) / (ks - p1) 127 \textcolor{keywordflow}{else} 128 rho(j) = rho0*ks / (ks - p1) 129 \textcolor{keywordflow}{ endif} 130 \textcolor{keywordflow}{ enddo} \end{DoxyCode} \mbox{\Hypertarget{namespacemom__eos__unesco_af8666837abadea54c016bf59838f96cc}\label{namespacemom__eos__unesco_af8666837abadea54c016bf59838f96cc}} \index{mom\+\_\+eos\+\_\+unesco@{mom\+\_\+eos\+\_\+unesco}!calculate\+\_\+density\+\_\+derivs\+\_\+unesco@{calculate\+\_\+density\+\_\+derivs\+\_\+unesco}} \index{calculate\+\_\+density\+\_\+derivs\+\_\+unesco@{calculate\+\_\+density\+\_\+derivs\+\_\+unesco}!mom\+\_\+eos\+\_\+unesco@{mom\+\_\+eos\+\_\+unesco}} \subsubsection{\texorpdfstring{calculate\+\_\+density\+\_\+derivs\+\_\+unesco()}{calculate\_density\_derivs\_unesco()}} {\footnotesize\ttfamily subroutine, public mom\+\_\+eos\+\_\+unesco\+::calculate\+\_\+density\+\_\+derivs\+\_\+unesco (\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\+\_\+dT, }\item[{real, dimension(\+:), intent(out)}]{drho\+\_\+dS, }\item[{integer, intent(in)}]{start, }\item[{integer, intent(in)}]{npts }\end{DoxyParamCaption})} This subroutine calculates the partial derivatives of density with potential temperature and salinity. \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\+\_\+dt} & The partial derivative of density with potential temperature \mbox{[}kg m-\/3 deg\+C-\/1\mbox{]}.\\ \hline \mbox{\tt out} & {\em drho\+\_\+ds} & The partial derivative of density with salinity, in \mbox{[}kg m-\/3 P\+S\+U-\/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 213 of file M\+O\+M\+\_\+\+E\+O\+S\+\_\+\+U\+N\+E\+S\+C\+O.\+F90. \begin{DoxyCode} 213 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)}, \textcolor{keywordtype}{dimension(:)} :: t\textcolor{comment}{ !< Potential temperature relative to the surface} 214 \textcolor{comment}{ !! [degC].} 215 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)}, \textcolor{keywordtype}{dimension(:)} :: s\textcolor{comment}{ !< Salinity [PSU].} 216 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)}, \textcolor{keywordtype}{dimension(:)} :: pressure\textcolor{comment}{ !< Pressure [Pa].} 217 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(out)}, \textcolor{keywordtype}{dimension(:)} :: drho\_dt\textcolor{comment}{ !< The partial derivative of density with potential} 218 \textcolor{comment}{ !! temperature [kg m-3 degC-1].} 219 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(out)}, \textcolor{keywordtype}{dimension(:)} :: drho\_ds\textcolor{comment}{ !< The partial derivative of density with salinity,} 220 \textcolor{comment}{ !! in [kg m-3 PSU-1].} 221 \textcolor{keywordtype}{integer}, \textcolor{keywordtype}{intent(in)} :: start\textcolor{comment}{ !< The starting point in the arrays.} 222 \textcolor{keywordtype}{integer}, \textcolor{keywordtype}{intent(in)} :: npts\textcolor{comment}{ !< The number of values to calculate.} 223 224 \textcolor{comment}{! Local variables} 225 \textcolor{keywordtype}{real} :: t\_local, t2, t3, t4, t5 \textcolor{comment}{! Temperature to the 1st - 5th power [degC^n].} 226 \textcolor{keywordtype}{real} :: s12, s\_local, s32, s2 \textcolor{comment}{! Salinity to the 1/2 - 2nd powers [PSU^n].} 227 \textcolor{keywordtype}{real} :: p1, p2 \textcolor{comment}{! Pressure to the 1st & 2nd power [bar] and [bar2].} 228 \textcolor{keywordtype}{real} :: rho0 \textcolor{comment}{! Density at 1 bar pressure [kg m-3].} 229 \textcolor{keywordtype}{real} :: ks \textcolor{comment}{! The secant bulk modulus [bar].} 230 \textcolor{keywordtype}{real} :: drho0\_dt \textcolor{comment}{! Derivative of rho0 with T [kg m-3 degC-1].} 231 \textcolor{keywordtype}{real} :: drho0\_ds \textcolor{comment}{! Derivative of rho0 with S [kg m-3 PSU-1].} 232 \textcolor{keywordtype}{real} :: dks\_dt \textcolor{comment}{! Derivative of ks with T [bar degC-1].} 233 \textcolor{keywordtype}{real} :: dks\_ds \textcolor{comment}{! Derivative of ks with S [bar psu-1].} 234 \textcolor{keywordtype}{real} :: denom \textcolor{comment}{! 1.0 / (ks - p1) [bar-1].} 235 \textcolor{keywordtype}{integer} :: j 236 237 \textcolor{keywordflow}{do} j=start,start+npts-1 238 \textcolor{keywordflow}{if} (s(j) < -1.0e-10) \textcolor{keywordflow}{then} \textcolor{comment}{!Can we assume safely that this is a missing value?} 239 drho\_dt(j) = 0.0 ; drho\_ds(j) = 0.0 240 cycle 241 \textcolor{keywordflow}{ endif} 242 243 p1 = pressure(j)*1.0e-5; p2 = p1*p1 244 t\_local = t(j); t2 = t\_local*t\_local; t3 = t\_local*t2; t4 = t2*t2; t5 = t3*t2 245 s\_local = s(j); s2 = s\_local*s\_local; s12 = sqrt(s\_local); s32 = s\_local*s12 246 247 \textcolor{comment}{! compute rho(s,theta,p=0) - (same as rho(s,t\_insitu,p=0) )} 248 249 rho0 = r00 + r10*t\_local + r20*t2 + r30*t3 + r40*t4 + r50*t5 + & 250 s\_local*(r01 + r11*t\_local + r21*t2 + r31*t3 + r41*t4) + & 251 s32*(r032 + r132*t\_local + r232*t2) + r02*s2 252 drho0\_dt = r10 + 2.0*r20*t\_local + 3.0*r30*t2 + 4.0*r40*t3 + 5.0*r50*t4 + & 253 s\_local*(r11 + 2.0*r21*t\_local + 3.0*r31*t2 + 4.0*r41*t3) + & 254 s32*(r132 + 2.0*r232*t\_local) 255 drho0\_ds = (r01 + r11*t\_local + r21*t2 + r31*t3 + r41*t4) + & 256 1.5*s12*(r032 + r132*t\_local + r232*t2) + 2.0*r02*s\_local 257 258 \textcolor{comment}{! compute rho(s,theta,p)} 259 260 ks = s00 + s10*t\_local + s20*t2 + s30*t3 + s40*t4 + s\_local*(s01 + s11*t\_local + s21*t2 + s31*t3) + & 261 s32*(s032 + s132*t\_local + s232*t2) + & 262 p1*(sp00 + sp10*t\_local + sp20*t2 + sp30*t3 + & 263 s\_local*(sp01 + sp11*t\_local + sp21*t2) + sp032*s32) + & 264 p2*(sp000 + sp010*t\_local + sp020*t2 + s\_local*(sp001 + sp011*t\_local + sp021*t2)) 265 dks\_dt = s10 + 2.0*s20*t\_local + 3.0*s30*t2 + 4.0*s40*t3 + & 266 s\_local*(s11 + 2.0*s21*t\_local + 3.0*s31*t2) + s32*(s132 + 2.0*s232*t\_local) + & 267 p1*(sp10 + 2.0*sp20*t\_local + 3.0*sp30*t2 + s\_local*(sp11 + 2.0*sp21*t\_local)) + & 268 p2*(sp010 + 2.0*sp020*t\_local + s\_local*(sp011 + 2.0*sp021*t\_local)) 269 dks\_ds = (s01 + s11*t\_local + s21*t2 + s31*t3) + 1.5*s12*(s032 + s132*t\_local + s232*t2) + & 270 p1*(sp01 + sp11*t\_local + sp21*t2 + 1.5*sp032*s12) + & 271 p2*(sp001 + sp011*t\_local + sp021*t2) 272 273 denom = 1.0 / (ks - p1) 274 drho\_dt(j) = denom*(ks*drho0\_dt - rho0*p1*denom*dks\_dt) 275 drho\_ds(j) = denom*(ks*drho0\_ds - rho0*p1*denom*dks\_ds) 276 \textcolor{keywordflow}{ enddo} 277 \end{DoxyCode} \mbox{\Hypertarget{namespacemom__eos__unesco_a5b0789ed1bfd40e09ba994b656c14f47}\label{namespacemom__eos__unesco_a5b0789ed1bfd40e09ba994b656c14f47}} \index{mom\+\_\+eos\+\_\+unesco@{mom\+\_\+eos\+\_\+unesco}!calculate\+\_\+density\+\_\+scalar\+\_\+unesco@{calculate\+\_\+density\+\_\+scalar\+\_\+unesco}} \index{calculate\+\_\+density\+\_\+scalar\+\_\+unesco@{calculate\+\_\+density\+\_\+scalar\+\_\+unesco}!mom\+\_\+eos\+\_\+unesco@{mom\+\_\+eos\+\_\+unesco}} \subsubsection{\texorpdfstring{calculate\+\_\+density\+\_\+scalar\+\_\+unesco()}{calculate\_density\_scalar\_unesco()}} {\footnotesize\ttfamily subroutine, public mom\+\_\+eos\+\_\+unesco\+::calculate\+\_\+density\+\_\+scalar\+\_\+unesco (\begin{DoxyParamCaption}\item[{real, intent(in)}]{T, }\item[{real, intent(in)}]{S, }\item[{real, intent(in)}]{pressure, }\item[{real, intent(out)}]{rho, }\item[{real, intent(in), optional}]{rho\+\_\+ref }\end{DoxyParamCaption})} This subroutine computes the in situ density of sea water (rho in \mbox{[}kg m-\/3\mbox{]}) from salinity (S \mbox{[}P\+SU\mbox{]}), potential temperature (T \mbox{[}degC\mbox{]}), and pressure \mbox{[}Pa\mbox{]}, using the U\+N\+E\+S\+CO (1981) equation of state. \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 rho} & In situ density \mbox{[}kg m-\/3\mbox{]}.\\ \hline \mbox{\tt in} & {\em rho\+\_\+ref} & A reference density \mbox{[}kg m-\/3\mbox{]}. \\ \hline \end{DoxyParams} Definition at line 60 of file M\+O\+M\+\_\+\+E\+O\+S\+\_\+\+U\+N\+E\+S\+C\+O.\+F90. \begin{DoxyCode} 60 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)} :: t\textcolor{comment}{ !< Potential temperature relative to the surface [degC].} 61 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)} :: s\textcolor{comment}{ !< Salinity [PSU].} 62 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)} :: pressure\textcolor{comment}{ !< pressure [Pa].} 63 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(out)} :: rho\textcolor{comment}{ !< In situ density [kg m-3].} 64 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{optional}, \textcolor{keywordtype}{intent(in)} :: rho\_ref\textcolor{comment}{ !< A reference density [kg m-3].} 65 66 \textcolor{comment}{! Local variables} 67 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(1)} :: t0, s0, pressure0 68 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(1)} :: rho0 69 70 t0(1) = t 71 s0(1) = s 72 pressure0(1) = pressure 73 74 \textcolor{keyword}{call }calculate\_density\_array\_unesco(t0, s0, pressure0, rho0, 1, 1, rho\_ref) 75 rho = rho0(1) 76 \end{DoxyCode} \mbox{\Hypertarget{namespacemom__eos__unesco_ad8670960a4b8e83186468a7a8cfa860c}\label{namespacemom__eos__unesco_ad8670960a4b8e83186468a7a8cfa860c}} \index{mom\+\_\+eos\+\_\+unesco@{mom\+\_\+eos\+\_\+unesco}!calculate\+\_\+spec\+\_\+vol\+\_\+array\+\_\+unesco@{calculate\+\_\+spec\+\_\+vol\+\_\+array\+\_\+unesco}} \index{calculate\+\_\+spec\+\_\+vol\+\_\+array\+\_\+unesco@{calculate\+\_\+spec\+\_\+vol\+\_\+array\+\_\+unesco}!mom\+\_\+eos\+\_\+unesco@{mom\+\_\+eos\+\_\+unesco}} \subsubsection{\texorpdfstring{calculate\+\_\+spec\+\_\+vol\+\_\+array\+\_\+unesco()}{calculate\_spec\_vol\_array\_unesco()}} {\footnotesize\ttfamily subroutine mom\+\_\+eos\+\_\+unesco\+::calculate\+\_\+spec\+\_\+vol\+\_\+array\+\_\+unesco (\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)}]{specvol, }\item[{integer, intent(in)}]{start, }\item[{integer, intent(in)}]{npts, }\item[{real, intent(in), optional}]{spv\+\_\+ref }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [private]}} This subroutine computes the in situ specific volume of sea water (specvol in \mbox{[}m3 kg-\/1\mbox{]}) from salinity (S \mbox{[}P\+SU\mbox{]}), potential temperature (T \mbox{[}degC\mbox{]}) and pressure \mbox{[}Pa\mbox{]}, using the U\+N\+E\+S\+CO (1981) equation of state. If spv\+\_\+ref is present, specvol is an anomaly from spv\+\_\+ref. \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 specvol} & in situ specific volume \mbox{[}m3 kg-\/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 \mbox{\tt in} & {\em spv\+\_\+ref} & A reference specific volume \mbox{[}m3 kg-\/1\mbox{]}. \\ \hline \end{DoxyParams} Definition at line 159 of file M\+O\+M\+\_\+\+E\+O\+S\+\_\+\+U\+N\+E\+S\+C\+O.\+F90. \begin{DoxyCode} 159 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(in)} :: t\textcolor{comment}{ !< potential temperature relative to the surface} 160 \textcolor{comment}{ !! [degC].} 161 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(in)} :: s\textcolor{comment}{ !< salinity [PSU].} 162 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(in)} :: pressure\textcolor{comment}{ !< pressure [Pa].} 163 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(:)}, \textcolor{keywordtype}{intent(out)} :: specvol\textcolor{comment}{ !< in situ specific volume [m3 kg-1].} 164 \textcolor{keywordtype}{integer}, \textcolor{keywordtype}{intent(in)} :: start\textcolor{comment}{ !< the starting point in the arrays.} 165 \textcolor{keywordtype}{integer}, \textcolor{keywordtype}{intent(in)} :: npts\textcolor{comment}{ !< the number of values to calculate.} 166 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{optional}, \textcolor{keywordtype}{intent(in)} :: spv\_ref\textcolor{comment}{ !< A reference specific volume [m3 kg-1].} 167 168 \textcolor{comment}{! Local variables} 169 \textcolor{keywordtype}{real} :: t\_local, t2, t3, t4, t5 \textcolor{comment}{! Temperature to the 1st - 5th power [degC^n].} 170 \textcolor{keywordtype}{real} :: s\_local, s32, s2 \textcolor{comment}{! Salinity to the 1st, 3/2, & 2nd power [PSU^n].} 171 \textcolor{keywordtype}{real} :: p1, p2 \textcolor{comment}{! Pressure (in bars) to the 1st and 2nd power [bar] and [bar2].} 172 \textcolor{keywordtype}{real} :: rho0 \textcolor{comment}{! Density at 1 bar pressure [kg m-3].} 173 \textcolor{keywordtype}{real} :: ks \textcolor{comment}{! The secant bulk modulus [bar].} 174 \textcolor{keywordtype}{integer} :: j 175 176 \textcolor{keywordflow}{do} j=start,start+npts-1 177 \textcolor{keywordflow}{if} (s(j) < -1.0e-10) \textcolor{keywordflow}{then} \textcolor{comment}{!Can we assume safely that this is a missing value?} 178 specvol(j) = 0.001 179 \textcolor{keywordflow}{if} (\textcolor{keyword}{present}(spv\_ref)) specvol(j) = 0.001 - spv\_ref 180 cycle 181 \textcolor{keywordflow}{ endif} 182 183 p1 = pressure(j)*1.0e-5; p2 = p1*p1 184 t\_local = t(j); t2 = t\_local*t\_local; t3 = t\_local*t2; t4 = t2*t2; t5 = t3*t2 185 s\_local = s(j); s2 = s\_local*s\_local; s32 = s\_local*sqrt(s\_local) 186 187 \textcolor{comment}{! Compute rho(s,theta,p=0) - (same as rho(s,t\_insitu,p=0) ).} 188 189 rho0 = r00 + r10*t\_local + r20*t2 + r30*t3 + r40*t4 + r50*t5 + & 190 s\_local*(r01 + r11*t\_local + r21*t2 + r31*t3 + r41*t4) + & 191 s32*(r032 + r132*t\_local + r232*t2) + r02*s2 192 193 \textcolor{comment}{! Compute rho(s,theta,p), first calculating the secant bulk modulus.} 194 195 ks = s00 + s10*t\_local + s20*t2 + s30*t3 + s40*t4 + s\_local*(s01 + s11*t\_local + s21*t2 + s31*t3) + & 196 s32*(s032 + s132*t\_local + s232*t2) + & 197 p1*(sp00 + sp10*t\_local + sp20*t2 + sp30*t3 + & 198 s\_local*(sp01 + sp11*t\_local + sp21*t2) + sp032*s32) + & 199 p2*(sp000 + sp010*t\_local + sp020*t2 + s\_local*(sp001 + sp011*t\_local + sp021*t2)) 200 201 \textcolor{keywordflow}{if} (\textcolor{keyword}{present}(spv\_ref)) \textcolor{keywordflow}{then} 202 specvol(j) = (ks*(1.0 - (rho0*spv\_ref)) - p1) / (rho0*ks) 203 \textcolor{keywordflow}{else} 204 specvol(j) = (ks - p1) / (rho0*ks) 205 \textcolor{keywordflow}{ endif} 206 \textcolor{keywordflow}{ enddo} \end{DoxyCode} \mbox{\Hypertarget{namespacemom__eos__unesco_a79b131a4287b138ebf37883d60b334be}\label{namespacemom__eos__unesco_a79b131a4287b138ebf37883d60b334be}} \index{mom\+\_\+eos\+\_\+unesco@{mom\+\_\+eos\+\_\+unesco}!calculate\+\_\+spec\+\_\+vol\+\_\+scalar\+\_\+unesco@{calculate\+\_\+spec\+\_\+vol\+\_\+scalar\+\_\+unesco}} \index{calculate\+\_\+spec\+\_\+vol\+\_\+scalar\+\_\+unesco@{calculate\+\_\+spec\+\_\+vol\+\_\+scalar\+\_\+unesco}!mom\+\_\+eos\+\_\+unesco@{mom\+\_\+eos\+\_\+unesco}} \subsubsection{\texorpdfstring{calculate\+\_\+spec\+\_\+vol\+\_\+scalar\+\_\+unesco()}{calculate\_spec\_vol\_scalar\_unesco()}} {\footnotesize\ttfamily subroutine mom\+\_\+eos\+\_\+unesco\+::calculate\+\_\+spec\+\_\+vol\+\_\+scalar\+\_\+unesco (\begin{DoxyParamCaption}\item[{real, intent(in)}]{T, }\item[{real, intent(in)}]{S, }\item[{real, intent(in)}]{pressure, }\item[{real, intent(out)}]{specvol, }\item[{real, intent(in), optional}]{spv\+\_\+ref }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [private]}} This subroutine computes the in situ specific volume of sea water (specvol in \mbox{[}m3 kg-\/1\mbox{]}) from salinity (S \mbox{[}P\+SU\mbox{]}), potential temperature (T \mbox{[}degC\mbox{]}) and pressure \mbox{[}Pa\mbox{]}, using the U\+N\+E\+S\+CO (1981) equation of state. If spv\+\_\+ref is present, specvol is an anomaly from spv\+\_\+ref. \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 specvol} & in situ specific volume \mbox{[}m3 kg-\/1\mbox{]}.\\ \hline \mbox{\tt in} & {\em spv\+\_\+ref} & A reference specific volume \mbox{[}m3 kg-\/1\mbox{]}. \\ \hline \end{DoxyParams} Definition at line 138 of file M\+O\+M\+\_\+\+E\+O\+S\+\_\+\+U\+N\+E\+S\+C\+O.\+F90. \begin{DoxyCode} 138 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)} :: t\textcolor{comment}{ !< potential temperature relative to the surface} 139 \textcolor{comment}{ !! [degC].} 140 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)} :: s\textcolor{comment}{ !< salinity [PSU].} 141 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(in)} :: pressure\textcolor{comment}{ !< pressure [Pa].} 142 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{intent(out)} :: specvol\textcolor{comment}{ !< in situ specific volume [m3 kg-1].} 143 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{optional}, \textcolor{keywordtype}{intent(in)} :: spv\_ref\textcolor{comment}{ !< A reference specific volume [m3 kg-1].} 144 145 \textcolor{comment}{! Local variables} 146 \textcolor{keywordtype}{real}, \textcolor{keywordtype}{dimension(1)} :: t0, s0, pressure0, spv0 147 148 t0(1) = t ; s0(1) = s ; pressure0(1) = pressure 149 150 \textcolor{keyword}{call }calculate\_spec\_vol\_array\_unesco(t0, s0, pressure0, spv0, 1, 1, spv\_ref) 151 specvol = spv0(1) \end{DoxyCode}