Abstract

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.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.