"Fission" Simulations at LSU

This chapter essentially replicates an earlier html-based discussion.

Simulations Performed by John Cazes

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.)