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KIAM Preprint № 64, Moscow, 2012
Authors: Elizarova T. G., Ustyugov S.D., Istomina M. A.
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
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About authors:
  • Elizarova Tatiana Gennadyevna,  telizar@mail.ruorcid.org/0000-0001-6169-5270KIAM RAS
  • Ustyugov S. D.,  ustyugs@keldysh.ruKIAM RAS
  • Istomina Maria Alexandrovna,  m_ist@mail.ruKIAM RAS