Shock Capturing Schemes in Computational MHD

1 INAF Osservatorio Astronomico di Torino, 10025 Pino Torinese, Italy, mignone to.astro.it 2 Dipartimento di Fisica Generale dell'Universita, Via Pietro Giuria 1, I-10125 Torino, Italy, bodo to.astro.it Abstract. The purpose of the present review is to present and discuss some introductory aspects relevant to computational compressible magnetohydrodynam-ics MHD . The shock-capturing framework developed for the Euler equations of gasdynamics is extended to MHD by illustrating differences and...