TVD Scheme for the Numerical Simulation of the Axisymmetrical Selfgravitating MHD Flows

Details TVD Scheme for the Numerical Simulation of the Axisymmetrical Selfgravitating MHD Flows TVD Scheme for the Numerical Simulation of the Axisymmetrical Selfgravitating MHD Flows

2001-02-19

arxiv.org/abs/astro-ph/0102313v1

Astronomy and Astrophysics

Astrophysics

LaTeX, 33 pages, 13 Postscript figures, uses elsart.sty and elsart12.sty

Scientific paper

The explicit quasi-monotonic conservative TVD scheme and numerical method for the solution of the gravitational MHD equations are developed. The 2D numerical code for the simulation of multidimensional selfgravitating MHD flows on the Eulerian cylindrical grid is constructed. The results of test calculations show that the code has a good mathematical and computational properties and can be applied to the solution of a wide class of plasma physics and astrophysics problems. We have simulated, for example, a collapse of magnetized rotating protostellar clouds.

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