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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Computational methods for ill-posed problems of gravitational gasodynamics

1Department of Parallel Algorithms of Large-Scale Problems Solving, Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 630090 Novosibirsk, Russia.

2Department of Physics and Evolution of Stars, Institute of Astronomy RAS, 119017 Moscow, Russia.

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 19, Issue 1, Pages 151–166, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2011.027, May 2011

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A new numerical model of a galaxy interaction in gasodynamical approach is considered. In this model the equations of a gas dynamics with a cold function and the Poisson equation for a gravity potential are solved. A total system of equations is illposed. It allows us to describe a gravitational instability of astrophysical processes. As an example, the results of the collapse simulation are presented. The gas dynamic system of equations is solved by the Fluids-in-Cell method with the energy balance correction. Using the 3D Cartesian simulation a rotation, a self-consistent gravitational field, a complex central body geometry and a gas temperature were taken into account. A parallel implementation of the method for the simulation of various galaxy interaction scenarios was used in the model. Also, a research of the numerical model application range for various collision velocities and a mass relation of gas and star components was made here.

Keywords.: Numerical methods; stability and instability of geophysical and astrophysical flows; galactic and stellar dynamics

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