Revision as of 19:50, 24 October 2024

"Fission" Simulations at LSU

This chapter essentially replicates an earlier html-based discussion.

Here we summarize the results of numerical simulations that John Cazes performed as part of his doctoral dissertation research, which was completed in 1999. A portion of this work has been published by 📚 J. E. Cazes & J. E. Tohline (2000, ApJ, Vol 532, Issue 2, pp. 1051 - 1068) in an article titled, "Self-Gravitating Gaseous Bars. I. Compressible Analogs of Riemann Ellipsoids with Supersonic Internal Flows."

The initial configuration of "Model A" is an axisymmetric, $n = \frac{3}{2}$ polytrope with differential rotation prescribed in such a way that the angular momentum as a function of cylindrical radius, $ϖ$ , has the same function as a uniformly rotating, $n = 0$ polytrope — that is, the same as a Maclaurin spheroid. Thus, this model sits on the so-called $n^{'} = 0$ sequence, as defined by 📚 R. Stoeckly (1965, ApJ, Vol. 142, pp. 208 - 228) and as implemented by, for example, 📚 J. P. Ostriker & J. W.-K. Mark (1968, ApJ, Vol. 151, pp. 1075 - 1088), and 📚 P. Bodenheimer & J. P. Ostriker (1973, ApJ, Vol. 180, pp. 159 - 170). (See our additional discussion of Simple Rotation Profiles.)

@@ Line 6: / Line 6: @@
 ==Simulations Performed by John Cazes==
-Here we summarize the results of numerical simulations that John Cazes performed as part of [https://digitalcommons.lsu.edu/gradschool_disstheses/6982/ his doctoral dissertation research], which was completed in 1999.
+Here we summarize the results of numerical simulations that John Cazes performed as part of [https://digitalcommons.lsu.edu/gradschool_disstheses/6982/ his doctoral dissertation research], which was completed in 1999.  A portion of this work has been published by {{ CT2000full }} in an article titled, "<i>Self-Gravitating Gaseous Bars. &nbsp; I. Compressible Analogs of Riemann Ellipsoids with Supersonic Internal Flows.</i>"
+===Model A===
+The initial configuration of "Model A" is an axisymmetric, <math>n = \tfrac{3}{2}</math> polytrope with differential rotation prescribed in such a way that the angular momentum as a function of cylindrical radius, <math>\varpi</math>, has the same function as a uniformly rotating, <math>n=0</math> polytrope &#8212; that is, the same as a Maclaurin spheroid.  Thus, this model sits on the so-called <math>n'=0</math> sequence, as defined by {{ Stoeckly65full }} and as implemented by, for example, {{ OM68full }}, and {{ BO73full }}.  (See our [[AxisymmetricConfigurations/SolutionStrategies#Uniform-Density_Initially_(n'_=_0)|additional discussion of ''Simple Rotation Profiles]].'')
 =See Also=
 {{ SGFfooter }}