Editing Appendix/Ramblings/MyDoctoralStudents (section)

===Years 1988 - 1994===
<!-- 1988 - 1994 -->
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  <td align="center">[http://www.phys.lsu.edu/~tohline/ref_ref.html Pubs.] <font color="red">(rank)</font></td>
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Using the HSCF-technique, <font color="red">John W. Woodward</font> constructed geometrically thick, axisymmetric accretion disk structures having a range of disk-to-central-object mass ratios.  He used CFD techniques to determine which configurations were dynamically stable and which were dynamically unstable toward the development of nonaxisymmetric disk structure.

Over this time period, we requested and received NSF allocations of supercomputing time at the [https://en.wikipedia.org/wiki/Cornell_University_Center_for_Advanced_Computing Cornell Theory Center].  The CTC's main "vector" hardware resource consisted of a group of Floating Point Systems (FPS) array processors attached to an IBM main-frame. The CTC was our Center of choice because LSU also had decided to attach several FPS array processors to its IBM main-frame.  We gained a great deal of early insight regarding the development of ''parallel computing algorithms'' through Woodward's extensive interactions with the CTC's technical staff, especially [https://www.nersc.gov/news-publications/nersc-news/nersc-center-news/2015/francesca-verdier-retiring-after-20-years-at-nersc/ Francesca Verdier].
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<b>[</b>[https://ui.adsabs.harvard.edu/abs/1994ApJ...420..247W/abstract 38]<b>]</b> <font color="red">(19<sup>th</sup>)</font><br />
<b>[</b>[https://digitalcommons.lsu.edu/gradschool_disstheses/5365/ <math>~\odot</math>]<b>]</b><br />
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<b>[</b>[https://digitalcommons.lsu.edu/gradschool_disstheses/4769/ <math>~\odot</math>]<b>]</b><br />
<b>[</b>[https://ui.adsabs.harvard.edu/abs/1986ApJ...307..449C/abstract 21]<b>]</b><br />
<b>[</b>[https://ui.adsabs.harvard.edu/abs/1988AJ.....96.1307C/abstract 29]<b>]</b><br />
<b>[</b>[https://ui.adsabs.harvard.edu/abs/1993ApJ...403..110C/abstract 36]<b>]</b><br />
<b>[</b>[https://ui.adsabs.harvard.edu/abs/1993ApJ...416...74C/abstract 37]<b>]</b><br />
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<b>[</b>[https://www.sciencedirect.com/science/article/pii/0097849394900388 39]<b>]</b><br />
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<b>[</b>[http://www.phys.lsu.edu/faculty/tohline/CiSE/CiSE2007.Vol9No6.pdf Viz]<b>]</b><br />
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Building on the foundation ideas developed earlier in collaboration with Caldwell and Simonson, <font color="red">Dimitris M. Christodoulou</font> used a so-called ''tilted-ring'' model of approximately a dozen warped spiral galaxy disks to decipher the geometric shape &#8212; whether oblate- or prolate-spheroidal &#8212; of each galaxy's underlying dark matter halo.  In an effort to better understand how the warped structure of spiral disks develop over time, Christodoulou also used the group's CFD code to model the settling of disks that are initially flat, but tilted at some nonzero angle with respect to the equatorial plane of the potential well defined by an underlying, axisymmetric halo. (Due to constraints imposed by available computational resources, only disks with initially ''thick'' geometric structures were modeled dynamically; there was insufficient grid resolution to realistically model ''thin'' disks.) 
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As he was completing his dissertation research, Woodward took it upon himself to rewrite our 2nd-order-accurate CFD code so that it ran efficiently on the Department of Physics &amp; Astronomy's new, 8K-node SIMD-architecture [https://en.wikipedia.org/wiki/MasPar MasPar MP1 computer].  Our 3D, cylindrical-coordinate-based simulations nicely mapped to the MasPar's architecture if we adopted a spatial grid resolution of 64 (in Z) &times; 128 (in R) &#8212; that is, 8K meridional-plane grid zones &#8212; &times; 128 azimuthal zones "stacked in memory."
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In collaboration with Tohline, <font color="red">Sandeep Dani</font> &#8212; a graduate student in LSU's Department of Mechanical Engineering &#8212; developed an efficient algorithm for rendering curvilinear volume data on our SIMD-architecture [https://en.wikipedia.org/wiki/MasPar MasPar MP1 computer]; Dani's doctoral dissertation advisors in Mechanical Engineering, Warren N. Waggenspack Jr. and David E. Thompson, also were key players in this collaboration. 

A [https://en.wikipedia.org/wiki/NeXTcube NeXTcube] was added to our equipment ranks.  Having a built-in RGB-to-NTSC signal converter, the NeXT replaced our Lenco Color Encoder; it also provided a friendly programming environment through which Woodward (and others) was able to completely automate the sequence of steps required to generate a video from a stack of digital images.

Richard Durisen (Indiana University) hooked up with a scientific visualization specialist, J. B. Yost, at Illinois's [http://www.ncsa.illinois.edu NCSA] to produce a high-quality movie that used multiple, translucent isodensity surfaces to beautifully illustrate results from a CFD simulation on which we had collaborated.  This was an extremely artistic as well as scientifically instructive animation.  It served as motivation for our group's continued development of improved visualization tools and techniques.
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