<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<style type="text/css" style="display:none;"> P {margin-top:0;margin-bottom:0;} </style>
</head>
<body dir="ltr">
<div class="elementToProof" style="font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
Hello Gabriele,</div>
<div class="elementToProof" style="font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div class="elementToProof" style="font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
Thanks for the response. Does this mean that the final (3D) output of the thorn is also in isotropic coordinates?</div>
<div class="elementToProof" style="font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div class="elementToProof" style="font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
Cheers,</div>
<div class="elementToProof" style="font-family: Aptos, Aptos_EmbeddedFont, Aptos_MSFontService, Calibri, Helvetica, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);">
CJ</div>
<div id="appendonsend"></div>
<hr style="display:inline-block;width:98%" tabindex="-1">
<div id="divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" style="font-size:11pt" color="#000000"><b>From:</b> Gabriele Bozzola <bozzola.gabriele@gmail.com><br>
<b>Sent:</b> Saturday, September 14, 2024 5:33 PM<br>
<b>To:</b> CJ Osakwe <cuosakwe@ucalgary.ca><br>
<b>Cc:</b> users@einsteintoolkit.org <users@einsteintoolkit.org><br>
<b>Subject:</b> Re: [Users] TOVSolver interpolation algorithm</font>
<div> </div>
</div>
<div>
<table cellpadding="0" cellspacing="0" border="0" style="margin-bottom:10px">
<tbody>
<tr>
<td style="color:#FF0000">[△EXTERNAL]</td>
</tr>
</tbody>
</table>
<br>
<br>
<div>
<div dir="ltr">Hi CJ Osakwe,<br>
<div><br>
</div>
<div>1D and 3D solutions look different because different coordinate systems are being used,</div>
<div>so the meaning of "radius" changes. More specifically, Schwarzschild coordinates in 1D, but</div>
<div>3D interpolation is performed with isotropic coordinates, which tend to be better behaved</div>
<div>for numerical relativity simulations. </div>
<div><br>
</div>
<div>You can find more information here:</div>
<div><a href="https://einsteintoolkit.org/thornguide/EinsteinInitialData/TOVSolver/documentation.html">https://einsteintoolkit.org/thornguide/EinsteinInitialData/TOVSolver/documentation.html</a><br>
</div>
<div><br>
</div>
<div>Best,</div>
<div>Gabriele</div>
<div><br>
</div>
<div><br>
</div>
<div><br>
</div>
</div>
<br>
<div class="x_gmail_quote">
<div dir="ltr" class="x_gmail_attr">On Fri, Sep 13, 2024 at 10:31 AM CJ Osakwe <<a href="mailto:cuosakwe@ucalgary.ca">cuosakwe@ucalgary.ca</a>> wrote:<br>
</div>
<blockquote class="x_gmail_quote" style="margin:0px 0px 0px 0.8ex; border-left:1px solid rgb(204,204,204); padding-left:1ex">
<div class="x_msg6215345369673528679">
<div dir="ltr">
<div style="font-family:Aptos,Aptos_EmbeddedFont,Aptos_MSFontService,Calibri,Helvetica,sans-serif; font-size:12pt; color:rgb(0,0,0)">
Hello,</div>
<div style="font-family:Aptos,Aptos_EmbeddedFont,Aptos_MSFontService,Calibri,Helvetica,sans-serif; font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div style="font-family:Aptos,Aptos_EmbeddedFont,Aptos_MSFontService,Calibri,Helvetica,sans-serif; font-size:12pt; color:rgb(0,0,0)">
Thank you for your response to my previous inquiry. I am now trying to model a hybrid star in the Einstein Toolkit, and I have some questions about the algorithm in the TOVSolver thorn that takes the 1D solution to the TOV equations and interpolates it to the
3D grid.</div>
<div style="font-family:Aptos,Aptos_EmbeddedFont,Aptos_MSFontService,Calibri,Helvetica,sans-serif; font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div style="font-family:Aptos,Aptos_EmbeddedFont,Aptos_MSFontService,Calibri,Helvetica,sans-serif; font-size:12pt; color:rgb(0,0,0)">
I was able to extract the 1D data and plot it, but when I do, the pressure v. radius and density v. radius relations noticeably change (they both decrease sooner and reach zero sooner in the 3D case than the 1D case). I am wondering why this happens, and if
it should be expected.</div>
<div style="font-family:Aptos,Aptos_EmbeddedFont,Aptos_MSFontService,Calibri,Helvetica,sans-serif; font-size:12pt; color:rgb(0,0,0)">
<br>
</div>
<div style="font-family:Aptos,Aptos_EmbeddedFont,Aptos_MSFontService,Calibri,Helvetica,sans-serif; font-size:12pt; color:rgb(0,0,0)">
Cheers,</div>
<div style="font-family:Aptos,Aptos_EmbeddedFont,Aptos_MSFontService,Calibri,Helvetica,sans-serif; font-size:12pt; color:rgb(0,0,0)">
CJ Osakwe<br>
<br>
</div>
</div>
_______________________________________________<br>
Users mailing list<br>
<a href="mailto:Users@einsteintoolkit.org" target="_blank">Users@einsteintoolkit.org</a><br>
<a href="http://lists.einsteintoolkit.org/mailman/listinfo/users" rel="noreferrer" target="_blank">http://lists.einsteintoolkit.org/mailman/listinfo/users</a><br>
</div>
</blockquote>
</div>
</div>
</div>
</body>
</html>