Using a Combination of Roe and Rusanov Schemes for the Numerical Solution of the Equations of Magnetohydrodynamics in the Problems of Cosmic Plasma.

Autor: Boronina, M. A., Kulikov, I. M., Chernykh, I. G., Vins, D. V.
Zdroj: Journal of Applied & Industrial Mathematics; Nov2022, Vol. 16 Issue 4, p596-605, 10p
Abstrakt: The paper describes a new numerical method for solving the equations of ideal magnetohydrodynamics (MHD) based on the Godunov method, a combination of the Roe and Rusanov schemes, and a piecewise parabolic representation of the solution. The hybrid scheme for solving the Riemann problem is associated with the possibility to reproduce the numerical solution without singularities along the directions, which is especially important when the velocity and magnetic field components are reconstructed in the transverse direction. The numerical method is implemented as a software package for massively parallel supercomputers. Studies of parallel implementation and computational experiments were carried out on the NKS-1P cluster of the SSCC. A problem with an analytical solution was used as a test for the method verification. A numerical solution of the problem of the interaction of a molecular hydrogen cloud with the oncoming interstellar medium is considered. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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