A flux-splitting method for hyperbolic-equation system of magnetized electron fluids in quasi-neutral plasmas

TL;DR

This paper introduces a flux-splitting numerical method for hyperbolic systems modeling magnetized electron fluids in quasi-neutral plasmas, demonstrating high accuracy and convergence in test cases.

Contribution

It presents a novel flux-splitting approach combining FVS and AUSM for hyperbolic equations in plasma physics, improving computational accuracy over traditional elliptic-parabolic methods.

Findings

All pseudo-time terms converge monotonically.

Conservation laws are strictly satisfied at steady state.

Results agree well with elliptic-parabolic approach.

Abstract

A flux-splitting method is proposed for the hyperbolic-equation system (HES) of magnetized electron fluids in quasi-neutral plasmas. The numerical fluxes are split into four categories, which are computed by using an upwind method which incorporates a flux-vector splitting (FVS) and advection upstream splitting method (AUSM). The method is applied to a test calculation condition of uniformly distributed and angled magnetic lines of force. All of the pseudo-time advancement terms converge monotonically and the conservation laws are strictly satisfied in the steady state. The calculation results are compared with those computed by using the elliptic-parabolic-equation system (EPES) approach using a magnetic-field-aligned mesh (MFAM). Both qualitative and quantitative comparisons yield good agreements of results, indicating that the HES approach with the flux-splitting method attains a high computational accuracy.