A quasi-gas dynamic algorithm for the numerical solution of shallow water equations for magnetic hydrodynamics
Abstract:
In this paper the technique of the solution of the ideal magnetohydrodynamic equations in shallow water approximation for a one-dimensional case by means of quasi-gas dynamic algorithm is presented. Algorithm for an example two problems one-dimensional magnetohydrodynamic was tested. Algorithm is employed for two test-cases. For both tests the numerical solution converges to self-similar ones by mesh refinement.
Keywords:
Ideal magnetohydrodynamics,
quasi-gas dynamic algorithm,shallow water approximation
Publication language:russian, pages:24
Research direction:
Mathematical modelling in actual problems of science and technics