Numerical Methods for Weakly Ionized Gas

Details Numerical Methods for Weakly Ionized Gas Numerical Methods for Weakly Ionized Gas

Oct 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998ap%26ss.260...15c&link_type=abstract

Astrophysics and Space Science, v. 260, Issue 1/2, p. 15-27 (1998).

Astronomy and Astrophysics

Astrophysics

Scientific paper

This paper is devoted to the numerical approximation of the discontinuous solutions of the Euler equations for weakly ionized mixtures of reacting gases. The main difficulty stems from the non conservative formulation of these equations due to a widely used physical assumption. We show how to derive a well-posed conservative reformulation of the equations from the analysis of the associated full convective-diffusive system. We then propose an exact Roe-type linearization for the equivalent system of conservation laws on the basis of an original Lemma for averagings. Our results can be seen as an extension of the classical Roe average, for nonlinearities that cannot be recast under quadratic form.

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