Solución de las Ecuaciones de la Magnetohidrodinámica Ideal por Medio de un Esquema TVD

Abstract

The numerical solution of the ideal magnetohidrodinamica equations (MHD) is presented. The study corresponds to a non-steady problem. The technique introduced by Powell [1] is used. The eigenvectors are normalized to avoid problems during the simulation. To carry out the numeric simulation an approximate Riemann solver is used in combined form with a TVD technique to evaluate the numeric flows.
The analyzed problem to verify the appropriate behavior of the computacional code is of Riemann problem for the MHD. This is an extension of the shock tube used in gas dynamic.
The obtained results show the richness of the single fluid MHD solution. Also the results here presented satisfies those found by other authors.