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arXiv · 1712.02932

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

R. Kawashima·K. Komurasaki·T. Schoenherr
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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.

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R. Kawashima, K. Komurasaki, T. Schoenherr. 2017-12-08. A flux-splitting method for hyperbolic-equation system of magnetized electron fluids in quasi-neutral plasmas. https://doi.org/10.1016/j.jcp.2016.01.006

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