[Commits] [svn:einsteintoolkit] www/ (Rev. 774)

[knarf at cct.lsu.edu]

User: knarf
Date: 2012/01/09 10:53 AM

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--- seminars/2012_01_16/index.php	                        (rev 0)
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+<?php $title='A conservation law formulation of nonlinear elasticity in general relativity';
+include_once($_SERVER['DOCUMENT_ROOT'].'/global/header.php');?>
+
+<h3>Monday, January 16, 2012, 10am US central time</h3>
+<p>The <a href="http://evo.caltech.edu/evoNext/koala.jnlp?meeting=eIe9esvvv8anaiatII"><i>Einstein Toolkit weekly</i></a> EVO meeting will be used for audio and slides. The talk is based
+on this <a href="http://lanl.arxiv.org/abs/1107.2551">paper</a>.
+</p>
+
+
+<h3>Abstract</h3>
+<p>
+We present a practical framework for ideal hyperelasticity in numerical
+relativity. For this purpose, we recast the formalism of Carter and Quintana as
+a set of Eulerian conservation laws in an arbitrary 3+1 split of spacetime. The
+resulting equations are presented as an extension of the standard Valencia
+formalism for a perfect fluid, with additional terms in the stress-energy
+tensor, plus a set of kinematic conservation laws that evolve a configuration
+gradient. We prove that the equations can be made symmetric hyperbolic by
+suitable constraint additions, at least in a neighbourhood of the unsheared
+state. We discuss the Newtonian limit of our formalism and its relation to a
+second formalism also used in Newtonian elasticity. We validate our framework
+by numerically solving a set of Riemann problems in Minkowski spacetime, as
+well as Newtonian ones from the literature.
+</p>
+
+<h3>Presenter: Ian Hawke</h3>
+<img src="Zachariah_Etienne.jpg" width="20%" align="right" alt="Zachariah Etienne">
+<p>
+ Lecturer in the <a href="http://www.maths.soton.ac.uk/applied"> Applied Mathematics</a>
+ department of the <a href="http://www.maths.soton.ac.uk">School of Mathematics</a>
+ at the <a href="http://www.soton.ac.uk">University of Southampton</a>.
+<p>
+
+<p>Research interests:
+ My primary interests are numerical simulations of Einstein's equations
+ coupled to hydrodynamic matter. I am one of the authors of the
+ <a href="http://www.whiskycode.org">Whisky</a> code which is used within the 
+ <a href="http://www.eu-network.org">EU Network</a>.
+ I also contribute to the binary black hole simulations of the 
+ <a href="http://numrel.aei.mpg.de">AEI Numerical Relativity group</a>.
+ I am also interested in mesh refinement codes such as
+ <a href="http://www.carpetcode.org">Carpet</a>.
+</p>
+
+<?php include_once($_SERVER['DOCUMENT_ROOT'].'/global/footer.php');?>



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--- seminars/index.php	2012-01-06 03:29:25 UTC (rev 773)
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   <td><a href="2011_11_28/EM_Gauge_ET.pdf">pdf</a></td>
   <td><a href="2011_11_28/recording/2011_11_28.ogv">ogv</a>&nbsp;/&nbsp;<a href="2011_11_28/recording/2011_11_28_evo.tar.xz">evo.tar.xz</a></td>
  </tr>
+ <tr>
+  <td>2012/01/16</td>
+  <td><a href="2012_01_16/">A conservation law formulation of nonlinear elasticity in general relativity</a></td>
+  <td>Ian&nbsp;Hawke</td>
+  <td>University&nbsp;of&nbsp;Southampton</td>
+  <td>&nbsp;</td>
+  <td>&nbsp;</td>
+ </tr>
 </table>
 
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