Accession Number:

ADA458981

Title:

A Discontinuous Galerkin Method for Two-Temperature Plasmas

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS

Personal Author(s):

• Lin, Guang
• Karniadakis, George E.

Report Date:

2005-03-11

Pagination or Media Count:

37.0

Abstract:

We develop a formulation for the single-fluidtwo-temperature equations for simulating two-species, compressible, non-equilibrium plasma flows. The divergence-free condition of the magnetic field is enforced via the characteristic decomposition of an extended nine-wave system. The source terms are modified appropriately to improve energy and momentum conservation accuracy. A spectralhp element algorithm is employed in the discretization combined with a discontinuous Galerkin formulation for the advective and diffusive contributions. The formulation is conservative, and monotonicity is enforced by appropriately lowering the spectral order around discontinuities. A new MHD flux introduced here is the MHD-HLLC Harten-Lax-van Leer Contact wave flux that preserves monotonicity and resolves contact discontinuity better. Exponential convergence is demonstrated for a magneto-hydrostatic problem. Two tests are presented using the new MHD-HLLC flux. Also, the differences between the single-temperature and the two-temperature models are presented for two-dimensional plasma flows around bluff bodies are simulated.

Descriptors:

• *PLASMAS(PHYSICS)
• *MAGNETOHYDRODYNAMICS
• ALGORITHMS
• MAGNETIC FIELDS
• SPECTRA
• NONEQUILIBRIUM FLOW
• CONSERVATION
• DECOMPOSITION
• MOMENTUM
• WAVES
• DISCONTINUITIES
• TWO DIMENSIONAL FLOW
• HYDROSTATICS
• ACCURACY
• FLUX(RATE)

Subject Categories:

• Plasma Physics and Magnetohydrodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE