Editing OldVistrailsCoverPage (section)

===Constructing Compressible Analogs of Riemann Ellipsoids===
We have known, for well over 100 years, that rapidly rotating, ellipsoidal-shaped equilibrium configurations can be constructed with a variety of different internal fluid velocity profiles &#8212; giving rise to Jacobi, Dedekind, or Riemann ellipsoids &#8212; ''if the fluid configuration has uniform density and is incompressible.''  [http://adsabs.harvard.edu/abs/2000ApJ...532.1051C Computational fluid-dynamic (CFD) simulations have demonstrated] that dynamically stable compressible analogs of Riemann ellipsoids can be constructed, under certain conditions.  The objective here is to develop a numerical technique, akin to the [http://www.phys.lsu.edu/astro/H_Book.current/Applications/Structure/HSCF_Code/HSCF.html Hachisu self-consistent field (HSCF) technique], by which a wide range of such equilibrium configurations  can be constructed ''a priori'', without relying on CFD techniques.
* [http://adsabs.harvard.edu/abs/2006ApJ...639..549O Shangli Ou] developed an HSCF-type technique that successfully constructs ''approximate'' equilibrium configurations that are analogs of Riemann ellipsoids
* [[Apps/RiemannEllipsoidsCompressible|Some thoughts regarding]] how a more satisfactory velocity flow-field might be incorporated into Ou's technique in order to achieve this project objective 
* Apart from my astronomy colleagues at LSU, I have had especially useful discussions of this project with Eric Hirschmann (BYU), David Neilsen (BYU), [https://www.semanticscholar.org/paper/A-hybrid-variational-level-set-approach-to-handle-Walker/7ee624ab9ffe45241cb0e5a0ce0898a6da201e7b Shawn W. Walker (2007)] (LSU Mathematics &amp; CCT), and Ricardo H. Nochetto (U. Maryland, Mathematics)
* Relevant to &hellip;

<table border="0" cellpadding="1" align="center" width="100%">
<tr>
<td width="4%" align="left">&nbsp;&nbsp;&nbsp;</td>
<td align="left">[http://www.phys.lsu.edu/astro/movie_captions/fission.html The fission hypothesis for binary star formation]</td>
</tr>
<tr>
<td width="4%" align="left">&nbsp;&nbsp;&nbsp;</td>
<td align="left">[http://www.phys.lsu.edu/~tohline/fission.movies.html Fission-related CFD simulations conducted at LSU]</td>
</tr>
<tr>
<td width="4%" align="left">&nbsp;&nbsp;&nbsp;</td>
<td align="left">[[ThreeDimensionalConfigurations/BinaryFission#Fission_Hypothesis_of_Binary_Star_Formation|Fission of liquid drops in spacelab experiments]]</td>
</tr>
<tr>
<td width="4%" align="left">&nbsp;&nbsp;&nbsp;</td>
<td align="left">[http://www.phys.lsu.edu/astro/nap98/bf.final.html The Formation of Common-Envelope, Pre-Main-Sequence Binary Stars]</td>
</tr>
</table>