Numerical scheme for nonconservative product applied to two-temperature plasma flows
Theirry Magin, The von Karman Institute for Fluid Dynamics
2 – 3PM
Friday Feb 15, 2019
POB 6.304
Abstract
Solving nonconservative hyperbolic systems is a difficult problem encountered in a variety of applications from plasma to two-phase flows. In particular, the numerical simulation of two-temperature fluid models exhibits a nonconservative product in the electron energy equation. We derive jump conditions based on travelling wave solutions and propose an original numerical treatment in order to avoid non-physical shocks for the solution, which remains valid in the case of coarse-resolution simulations. A key element for the numerical scheme proposed is the presence of diffusion in the electron variables. A scaling obtained from dimensional analysis allows us to derive a fluid model following a multiscale Chapman-Enskog expansion method. The numerical strategy is assessed for a solar physics test case. The computational method is able to capture the travelling wave solutions in both the highly- and coarsely-resolved cases.