Quasi-Gasdynamic Algorithm for Magnetohydrodynamic Shallow Water Equations

Tatiana Gennadyevna Elizarova (1) , Maria Istomina (1)

1 Keldysh Institute of Applied Mathematics

In this paper we present the regularized form of the shallow water equations for ideal magnetohydrodynamics, that allows its efficient numerical solution using centraldifference approximation for all space derivatives. The non-negative form of the dissipative function for the new system is shown together with the examples of numerical simulations of two test problems.

Mots clés: Regularized Shallow Water Equations Ideal Magnetohydrogynamics QGD Algorithm

Domaines: Analyse numérique [math.NA]; Mécanique [physics]; Sciences de l'ingénieur [physics]

Tatiana Gennadyevna Elizarova, Maria Istomina. Quasi-Gasdynamic Algorithm for Magnetohydrodynamic Shallow Water Equations. 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France. ⟨hal-00855879⟩