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Enaux, C.; Guisset, S.; Lasuen, C.; Ragueneau, Q.

Numerical resolution of a three temperature plasma model. (English) Zbl 1434.65114

J. Sci. Comput. 82, No. 3, Paper No. 51, 29 p. (2020).
Summary: This paper is devoted to the numerical approximation of a three temperature plasma model: one for the ions, one for the electrons and one for the radiation (photons). A reformulation of the model is proposed that allows to build a convex combination-based scheme that unconditionally satisfies a maximum principle, at each sub-iteration of the non-linear iterative process. This yields a very robust scheme that can handle stiff source terms. In addition, the methodology is extended to include the contribution of a radiative flux (Rosseland diffusion approximation) and electronic and ionic conductivities (Spitzer-Härm diffusion approximation). Several numerical results are carried out to demonstrate the interest of the numerical approach.

Cited in 4 Documents

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35Q35 PDEs in connection with fluid mechanics
82D10 Statistical mechanics of plasmas
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
80A21 Radiative heat transfer

Keywords:

three temperature model; numerical schemes; plasma physics; radiative transfer; non-equilibrium radiation diffusion

Software:

TRHD
Cite Review PDF
Full Text: DOI

References:

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