6533b850fe1ef96bd12a864d
RESEARCH PRODUCT
Numerical simulation of unsteady MHD flows and applications
Rémi AbgrallPierre RametRobin Huartsubject
Ideal (set theory)Computer simulationComputer scienceNumerical analysisGeneral Physics and AstronomySolver01 natural sciences010305 fluids & plasmasConstraint (information theory)symbols.namesakeLagrange multiplier0103 physical sciencesCompressibilitysymbols[INFO.INFO-DC] Computer Science [cs]/Distributed Parallel and Cluster Computing [cs.DC]Applied mathematicsElectrical and Electronic EngineeringMagnetohydrodynamics[INFO.INFO-DC]Computer Science [cs]/Distributed Parallel and Cluster Computing [cs.DC]010306 general physicsdescription
International audience; We present a robust numerical method for solving the compressible Ideal Magneto-Hydrodynamic equations. It is based on the Residual Distribution (RD) algorithms already successfully tested in many problems. We adapted the scheme to the multi-dimensional unsteady MHD model. The constraint ∇ · B = 0 is enforced by the use a Generalized Lagrange Multiplier (GLM) technique. First, we present this complete system and the keys to get its eigensystem, as we may need it in the algorithm. Next, we introduce the numerical scheme built in order to get a compressible, unsteady and implicit solver which has good shock-capturing properties and is second-order accurate at the converged state. To show the efficiency of our method, we will then comment some 2D results. We will end by pointing out some issues and the extensions we plan for this solver.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 |