An HLLC scheme for Ten-Moments approximation coupled with magnetic field
by Afeintou Sangam
International Journal of Computing Science and Mathematics (IJCSM), Vol. 2, No. 1/2, 2008

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).

Online publication date: Fri, 25-Jul-2008

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