Accession Number : AD1010299

Title :   Extending the Riemann-Solver-Free High-Order Space-Time Discontinuous Galerkin Cell Vertex Scheme (DG-CVS) to Solve Compressible Magnetohydrodynamics Equations

Descriptive Note : Technical Report,01 Mar 2013,31 Mar 2016

Corporate Author : JACKSON STATE UNIV MS JACKSON United States

Personal Author(s) : Tu,Shuangzhang

Full Text :

Report Date : 08 Jun 2016

Pagination or Media Count : 23

Abstract : In this project, we continue our development of our Riemann-solver-free spacetime discontinuous Galerkin method for general conservation laws to solve compressible magnetohydrodynamics (MHD) equations. The method is first applied to solve the 3 by 3 MHD model system in the phase space which exactly preserves the MHD hyperbolic singularities. Numerical results show that the method is able to solve the model system correctly, which makes the method very promising in solving the complete ideal MHD equations. The method is then extended to solve the 1-D 7 by7 and 2-D 8 by 8 MHD equations. The Powell's approach by adding appropriate source terms is adopted to handle the divergence-free magnetic field condition. Again, the numerical results show that the present method is able to resolve the complex MHD waves without the need of any type of Riemann solvers or other flux functions. The success of solving MHD equations further strengthens our belief that the DG-CVS is an effective approach in solving systems where accurate and reliable Riemann solvers are difficult to design.

Descriptors :   Magnetohydrodynamics , equations , conservation laws (mathematics)

Subject Categories : Plasma Physics and Magnetohydrodynamics
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE