An HLLC scheme for Ten-Moments approximation coupled with magnetic field

Authors:
Afeintou Sangam
Affiliations:
CNRS, Institut de Mathematiques de Bordeaux, Univ Bordeaux 1, Talence Cedex, France/ CNRS, CEA, Centre Lasers Intenses et Applications, Univ Bordeaux 1, Talence Cedex, France
Venue:
International Journal of Computing Science and Mathematics
Year:
2008

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Abstract

We address here an HLLC approximate Riemann solver for the Ten-Moments equations coupled with magnetic field production equation. This new extension HLLC-Riemann solver for Ten-Moments approximation is positivity preserving, resolves exactly isolated 1-shock and 5-shock waves, captures exactly material contact discontinuities. This solver enables us to discretise accurately the hyperbolic part of our magnetic field generation model. The full underlying model consists of Ten-Moments equations for the electron distribution function coupled with the magnetic field evolution equation. Its numerical approximation can predict self-generated magnetic fields, that play a crucial role in laser-plasma interactions in the context of Inertial Confinement Fusion (ICF).