Robust numerical schemes for Two-Fluid Ten-Moment plasma flow equations

Abstract

Two-Fluid Ten-Moment plasma flow equations are a Two-Fluid (ions and electrons)-based description of the plasma in which fluid is modeled by Ten-Moment Gaussian closure equations. This results in a tensorial description of the pressure and hence allows anisotropic effects in the plasmas which are important in several applications. In addition, this model also allows non-quasineutral effects. The key contribution of this article is the design of robust finite volume numerical schemes for this model. This includes a positivity preserving HLLC solver for three-dimensional Ten-Moment equations and a positivity preserving reconstruction process. In addition, to overcome time restriction imposed by stiff source terms, we design an implicit source discretization which results in an inversion of a local linear system (in each cell) at each time step. Numerical results are presented to demonstrate robustness and accuracy of the proposed schemes.