<p>
        <span style="font-family:"Times New Roman";font-size:16px;">Dear Will and Dennis,</span>
</p>
<p>
        <br>
</p>
<p>
        <span style="font-family:"Times New Roman";font-size:16px;">Many many thanks for you. I am using Max Planck Earth System model </span><span style="font-family:"Times New Roman";font-size:16px;">(MPI-ESM). The thetao is the potential </span><span style="font-family:"Times New Roman";font-size:16px;">temperature and salinity unit is psu. </span>
</p>
<p>
        <br>
</p>
<p>
        <span style="font-family:"Times New Roman";font-size:16px;">Thanks again and best regards,</span>
</p>
<p>
        <span style="font-family:"Times New Roman";font-size:16px;">Chathu</span>
</p>
<br>
<br>
<blockquote name="replyContent" class="ReferenceQuote" style="padding-left:5px;margin-left:5px;border-left:#b6b6b6 2px solid;margin-right:0;">
        -----Original Messages-----<br>
<b>From:</b><span id="rc_from">"Dennis Shea" <shea@ucar.edu></span><br>
<b>Sent Time:</b><span id="rc_senttime">2022-01-17 11:38:07 (Monday)</span><br>
<b>To:</b> "Will Hobbs" <will.hobbs@utas.edu.au><br>
<b>Cc:</b> Chathurika <chatu@scsio.ac.cn>, ncl-talk <ncl-talk@ucar.edu><br>
<b>Subject:</b> Re: [ncl-talk] rho_mwjf<br>
<br>
        <div dir="ltr">
                <div>
                        THX, Will
                </div>
                <div>
                        ============
                </div>
                <div>
                        <br>
                </div>
                <div>
                        Two ocean functions: <a href="https://www.ncl.ucar.edu/Document/Functions/Built-in/potmp_insitu_ocn.shtml"><b>potmp_insitu_ocn</b></a><b> , <a href="https://www.ncl.ucar.edu/Document/Functions/Built-in/depth_to_pres.shtml">depth_to_pres</a></b><br>
<br>
-----------------------------------------------------------------------<br>
<br>
Assorted ocean functions in contributed.ncl :. These are NOT SUPPORTED; documented in functions<br>
<br>
gravity_ocn         : Gravity as a function of latitude<br>
depth_ocn           : Depth(pressure, depth, correction_term) [ UNESCO: 1983 ]<br>
salinity_un83_ocn   : Salinity calculation (pss) from conductivity<br>
atg_ocn             : Computes the adiabatic temperature gradient<br>
potentmp_ocn        : Potential temperature from in-situ measurements<br>
vsnd_un95_ocn       : speed of sound in seawater as a function of s, t & p<br>
vsnd_teos10_ocn     : speed of sound in seawater as a function of s, t & p (van T Hoff eqn)<br>
densatp_ocn         : Calculate the density of seawater at a given s, t AND p [Millero & Poisson (1981)]<br>
aou_ocn             : Oxygen concentration at saturation<br>
<br>
<br>
%> less $NCARG_ROOT/lib/ncarg/nclscripts/csm/contributed.ncl<br>
~                                                                
                </div>
        </div>
<br>
        <div class="gmail_quote">
                <div dir="ltr" class="gmail_attr">
                        On Sun, Jan 16, 2022 at 2:43 PM Will Hobbs via ncl-talk <<a href="mailto:ncl-talk@mailman.ucar.edu">ncl-talk@mailman.ucar.edu</a>> wrote:<br>
                </div>
                <blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid #CCCCCC;padding-left:1ex;">
                        <div style="overflow-wrap:break-word;" lang="EN-AU">
                                <div class="gmail-m_-1615540362513265991WordSection1">
                                        <p class="MsoNormal">
                                                <span>Chathu<u></u><u></u></span> 
                                        </p>
                                        <p class="MsoNormal">
                                                <span><u></u> <u></u></span> 
                                        </p>
                                        <p class="MsoNormal">
                                                <span>The function rho_mwjf() should really be deprecated, it’s only applicable to the Equation of State for the CESM3 version of POP and NOT for observations (I would guess that POP has moved on now as
 well).<u></u><u></u></span> 
                                        </p>
                                        <p class="MsoNormal">
                                                <span><u></u> <u></u></span> 
                                        </p>
                                        <p class="MsoNormal">
                                                <span>If you’re working with observational data that you should really be using TEOS-10 (<a href="https://www.teos-10.org" target="_blank">https://www.teos-10.org</a>) and if you’re working with a model then strictly
 speaking you should track down the EoS for that model (which is likely a simplified version of TEOS-19).<u></u><u></u></span> 
                                        </p>
                                        <p class="MsoNormal">
                                                <span><u></u> <u></u></span> 
                                        </p>
                                        <p class="MsoNormal">
                                                <span>If you’re really wedded to using rho_mwjf(), then double-check that you have the correct salinity units. Also, you have to accept that the EoS probably doesn’t work that for extreme conditions (for
 example supercooled water near ice shelves), which may explain the erroneous density. <u></u><u></u></span> 
                                        </p>
                                        <p class="MsoNormal">
                                                <span><u></u> <u></u></span> 
                                        </p>
                                        <p class="MsoNormal">
                                                <span>I did start a few years ago with Dennis on implementing NCL wrappers for the fortran TEOS-10 library, but life/work got in the way, and with the deprecation of NCL it became a low priority. I’ve
 attached an NCL library of some of the (now obsolete) UNESCO EoS functions – you’re welcome to use but AT YOUR OWN RISK.<u></u><u></u></span> 
                                        </p>
                                        <p class="MsoNormal">
                                                <span><u></u> <u></u></span> 
                                        </p>
                                        <p class="MsoNormal">
                                                <span>Will<u></u><u></u></span> 
                                        </p>
                                        <p class="MsoNormal">
                                                <span><u></u> <u></u></span> 
                                        </p>
                                        <div style="border-color:#B5C4DF currentcolor currentcolor;border-style:solid none none;border-width:1pt medium medium;padding:3pt 0cm 0cm;">
                                                <p class="MsoNormal">
                                                        <b><span style="font-size:12pt;color:black;">From: </span></b><span style="font-size:12pt;color:black;">ncl-talk <<a href="mailto:ncl-talk-bounces@mailman.ucar.edu" target="_blank">ncl-talk-bounces@mailman.ucar.edu</a>> on behalf of Chathurika via ncl-talk <<a href="mailto:ncl-talk@mailman.ucar.edu" target="_blank">ncl-talk@mailman.ucar.edu</a>><br>
<b>Reply to: </b>Chathurika <<a href="mailto:chatu@scsio.ac.cn" target="_blank">chatu@scsio.ac.cn</a>><br>
<b>Date: </b>Sunday, 16 January 2022 at 12:52 am<br>
<b>To: </b>ncl-talk <<a href="mailto:ncl-talk@ucar.edu" target="_blank">ncl-talk@ucar.edu</a>><br>
<b>Subject: </b>[ncl-talk] rho_mwjf<u></u><u></u></span> 
                                                </p>
                                        </div>
                                        <div>
                                                <p class="MsoNormal">
                                                        <u></u> <u></u> 
                                                </p>
                                        </div>
                                        <p>
                                                <span style="font-size:12pt;font-family:"Arial",sans-serif;">Dear NCL users,</span><span style="font-family:"Arial",sans-serif;"> <u></u><u></u></span> 
                                        </p>
                                        <p>
                                                <span style="font-family:"Arial",sans-serif;"><u></u> <u></u></span> 
                                        </p>
                                        <p>
                                                <span style="font-size:12pt;font-family:"Arial",sans-serif;">I am really appreciate if you can show me what I is wrong with my script. As you know the southern ocean density is around 26-27 as follows at each depth level.</span><span style="font-family:"Arial",sans-serif;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span style="font-size:11.5pt;font-family:Menlo;"><br>
<br>
<u></u><u></u></span> 
                                        </p>
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                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(25) 27.61084</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
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                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(26) 27.65247</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
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                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(27) 27.6958</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(28) 27.73132</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(29) 27.75598</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(30) 27.77417</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(31) 27.78784</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(32) 27.79846</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(33) 27.80762</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(34) 27.81592</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(35) 27.82202</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(36) 27.82605</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(37) 27.82739</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(38) 27.82776</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(39) 27.8324</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p>
                                                <span style="font-family:"Arial",sans-serif;"><u></u> <u></u></span> 
                                        </p>
                                        <p>
                                                <span style="font-size:12pt;font-family:"Arial",sans-serif;">However, when I calculate the density at each depth levels using rho_mwjf (script is attached below), It calculate density which is not reasonable, shows;</span><span style="font-family:"Arial",sans-serif;"> <u></u><u></u></span> 
                                        </p>
                                        <p>
                                                <span style="font-family:"Arial",sans-serif;"><u></u> <u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(0) 26.3907</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(1) 26.4604</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(2) 26.54432</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(3) 26.6379</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(4) 26.74557</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(5) 26.85472</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(6) 26.97386</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(7) 27.10243</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(8) 27.24155</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(9) 27.40277</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(10) 27.58386</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(11) 27.78384</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(12) 28.00518</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(13) 28.24571</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(14) 28.5084</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(15) 28.79022</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(16) 29.09488</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(17) 29.43268</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(18) 29.82106</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(19) 30.26328</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(20) 30.76077</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(21) 31.32516</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(22) 31.94666</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(23) 32.59835</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(24) 33.27908</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(25) 33.99501</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(26) 34.78358</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(27) 35.64154</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(28) 36.53573</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(29) 37.46336</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(30) 38.45152</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(31) 39.54657</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(32) 40.74771</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(33) 42.0564</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(34) 43.53943</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(35) 45.23687</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(36) 47.14139</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(37) 49.24323</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(38) 51.43494</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p class="gmail-m_-1615540362513265991p1" style="margin-bottom:0cm;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;">
                                                <span class="gmail-m_-1615540362513265991s1"><span style="font-size:12pt;font-family:"Arial",sans-serif;">(39) 53.81633</span></span><span style="font-size:11.5pt;font-family:Menlo;"> <u></u><u></u></span> 
                                        </p>
                                        <p>
                                                <span style="font-family:"Arial",sans-serif;"><u></u> <u></u></span> 
                                        </p>
                                        <p class="MsoNormal">
                                                <span style="font-size:12pt;font-family:"Arial",sans-serif;">depth from 6 m to 5720 m, 40 levels</span><u></u><u></u> 
                                        </p>
                                        <p>
                                                <span style="font-family:"Arial",sans-serif;"><u></u> <u></u></span> 
                                        </p>
                                        <p>
                                                <span style="font-size:12pt;font-family:"Arial",sans-serif;">Could please anyone say what am I doing here wrong? if this is not the right way to calculate density using temperature and salinity what will be the other way? Many many thanks. Please be kind
 to reply me.</span><span style="font-family:"Arial",sans-serif;"> <u></u><u></u></span> 
                                        </p>
                                        <p>
                                                <span style="font-family:"Arial",sans-serif;"><u></u> <u></u></span> 
                                        </p>
                                        <p>
                                                <span style="font-size:12pt;font-family:"Arial",sans-serif;">The script: </span><span style="font-family:"Arial",sans-serif;"> <u></u><u></u></span> 
                                        </p>
                                        <p>
                                                <span style="font-family:"Arial",sans-serif;"><u></u> <u></u></span> 
                                        </p>
                                        <p>
                                                <span style="font-size:12pt;font-family:"Arial",sans-serif;">diri=".../salinity/hist/"</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">sfile = "<a href="http://salinity.nc" target="_blank">salinity.nc</a>" </span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">f = addfile(diri+sfile,"r")</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">vname=getfilevarnames(f)</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">print(vname)</span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">  salt           = f->so(:,:,{-25:-70},:)</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">  printVarSummary(salt)</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">  printMinMax(salt, False)</span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;"> s_range = dim_avg_n_Wrap(salt, 0)</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;"> printVarSummary(s_range)</span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;"> delete(salt)</span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">diri=".../temperature/hist/"</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">sfile = "<a href="http://temperature.nc" target="_blank">temperature.nc</a>" </span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">f = addfile(diri+sfile,"r")</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">vname=getfilevarnames(f)</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">print(vname)</span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">  temp           = f->thetao(:,:,{-25:-70},:)</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">  printVarSummary(temp)</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">  printMinMax(temp, False)</span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;"> t_range = dim_avg_n_Wrap(temp, 0)</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;"> printVarSummary(t_range)</span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;"> delete(temp)</span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">depth = (/6, 17,27,37,47,57,68.5,82.5,100,122.5,150,182.5,220\</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">   ,262.5,310,362.5,420,485,560,645,740,845,960,1085,1220,1365\</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">   ,1525,1700,1885,2080,2290,2525,2785,3070,3395,3770,4195,4670,5170,5720/) </span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">ndim = dimsizes(t_range)</span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">nlev = ndim(0)</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">nlat = ndim(1)</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">nlon = ndim(2)</span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">rho = new((/nlev,nlat,nlon/), typeof(t_range))</span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">do i = 0, nlev-1</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">    rho(i,:,:) = rho_mwjf(t_range(i,:,:),s_range(i,:,:),depth(i))</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">   </span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">end do</span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">copy_VarCoords(t_range, rho)</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">rho = 1000.*(rho-1.) </span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">printVarSummary(rho)</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">printMinMax(rho, True)</span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">abc = dim_avg_n_Wrap(rho, (/1,2/))</span><span style="font-family:"Arial",sans-serif;"><br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">printVarSummary(abc)</span><span style="font-family:"Arial",sans-serif;"><br>
<br>
<br>
</span><span style="font-size:12pt;font-family:"Arial",sans-serif;">print(abc)</span><span style="font-family:"Arial",sans-serif;"><u></u><u></u></span> 
                                        </p>
                                        <p class="MsoNormal">
                                                <u></u> <u></u> 
                                        </p>
                                        <p>
                                                Thank you and best regards, <u></u><u></u> 
                                        </p>
                                        <p>
                                                Chathu <u></u><u></u> 
                                        </p>
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                                                        <span style="font-size:12pt;font-family:"Helvetica Neue";"><u></u> <u></u></span> 
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                                                        <i><span style="font-size:10pt;font-family:"Helvetica Neue";">Wickramage Chathurika Hemamali</span></i><span style="font-family:"Helvetica Neue";"> <u></u><u></u></span> 
                                                </p>
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                                                        <p class="MsoNormal" style="margin-right:0cm;margin-bottom:6pt;margin-left:0cm;">
                                                                <i><span style="font-size:10pt;font-family:"Helvetica Neue";">Msc in Physical Oceanography</span></i><span style="font-family:"Helvetica Neue";"> <u></u><u></u></span> 
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                                                        <div id="gmail-m_-1615540362513265991ydpc6aa4ef1yui_3_16_0_ym19_1_1496286059659_2251">
                                                                <p class="MsoNormal" style="margin-right:0cm;margin-bottom:6pt;margin-left:0cm;">
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        <span style="font-style:italic;"><span style="font-size:x-small;">Wickramage Chathurika Hemamali</span></span>
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                <span style="font-style:italic;"><span style="font-size:x-small;">Msc in Physical Oceanography</span></span>
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