CMES: The Application Channel for the 2022 Young Researcher Award is now Open
Empowering Human Decision-Making in AI Models: The Path to Trust and Transparency
Open Access
ARTICLE
CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.3, pp. 301-334, 2009, DOI:10.3970/cmes.2009.054.301
Abstract In this article we use the new, unified framework of high order one-step PNPM schemes recently proposed for inviscid hyperbolic conservation laws by Dumbser, Balsara, Toro, and Munz (2008) in order to solve the viscous and resistive magnetohydrodynamics (MHD) equations in two and three space dimensions on unstructured triangular and tetrahedral meshes. The PNPM framework uses piecewise polynomials of degree N to represent data in each cell and piecewise polynomials of degree M ≥ N to compute the fluxes and source terms. This new general machinery contains usual high order finite volume schemes (N = 0) and discontinuous Galerkin finite… More >
Login
Register