Linearized formulation of the Riemann problem for radiation magnetohydrodynamics

The solution of the Riemann problem is one of the fundamental ingredients in the process of building higher order Godunov schemes for the numerical solution of hyperbolic problems. It has also been shown that linearized Riemann solvers work very well for several problems in hydrodynamics and magnetohydrodynamics. As a result we construct a linearized Riemann solver for radiation magnetohydrodynamics. It is shown that such a construction can be made in a simple and intuitively obvious way. Eigenvalues and eigenvectors that are very similar to those obtained for the original hyperbolic system for radiation magnetohydrodynamics have been derived. Explicit expressions have been obtained for the eigenvectors to facilitate their use in numerical schemes for radiation magnetohydrodynamics. (C) 1999 Elsevier Science Ltd. All rights reserved.