LSUsimulations: Difference between revisions
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===Model A=== | ===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 — that is, the same as a Maclaurin spheroid. | 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 — that is, the same as a Maclaurin spheroid. This is a rotation profile originally introduced by {{ Stoeckly65full }}. With this in mind, it is clear that "Model A" sits on the so-called <math>n'=0</math> sequence, as introduced by {{ OM68full }}, and as implemented, for example, by {{ BO73full }}, and by {{ PDD96full }}. (See our [[AxisymmetricConfigurations/SolutionStrategies#Uniform-Density_Initially_(n'_=_0)|additional discussion of ''Simple Rotation Profiles]].'') | ||
The initial values of various "Model A" parameters are provided in Table 1 (p. 1057) of {{ CT2000 }}. For example, the ratio of rotational kinetic energy to the absolute value of the gravitational potential energy, <math>T_\mathrm{rot}/|W| = 0.30</math>. | |||
=See Also= | =See Also= | ||
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Revision as of 20:12, 24 October 2024
"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."
Model A
The initial configuration of "Model A" is an axisymmetric, polytrope with differential rotation prescribed in such a way that the angular momentum as a function of cylindrical radius, , has the same function as a uniformly rotating, polytrope — that is, the same as a Maclaurin spheroid. This is a rotation profile originally introduced by 📚 R. Stoeckly (1965, ApJ, Vol. 142, pp. 208 - 228). With this in mind, it is clear that "Model A" sits on the so-called sequence, as introduced by 📚 J. P. Ostriker & J. W.-K. Mark (1968, ApJ, Vol. 151, pp. 1075 - 1088), and as implemented, for example, by 📚 P. Bodenheimer & J. P. Ostriker (1973, ApJ, Vol. 180, pp. 159 - 170), and by 📚 B. K. Pickett, R. H. Durisen, & G. A. Davis (1996, ApJ, Vol. 458, pp. 714 - 738). (See our additional discussion of Simple Rotation Profiles.)
The initial values of various "Model A" parameters are provided in Table 1 (p. 1057) of 📚 Cazes & Tohline (2000). For example, the ratio of rotational kinetic energy to the absolute value of the gravitational potential energy, .
See Also
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Appendices: | VisTrailsEquations | VisTrailsVariables | References | Ramblings | VisTrailsImages | myphys.lsu | ADS | |