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

Rei Kawashima, Kimiya Komurasaki, Tony Schönherr

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)202-212
Number of pages11
JournalJournal of Computational Physics
Volume310
DOIs
Publication statusPublished - 2016 Apr 1
Externally publishedYes

Keywords

  • Electron fluid
  • Hyperbolic equation
  • Plasma simulation
  • Upwind method

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'A flux-splitting method for hyperbolic-equation system of magnetized electron fluids in quasi-neutral plasmas'. Together they form a unique fingerprint.

Cite this