  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.
