Abstract
A class of reactive Euler-type equations derived from the kinetic theory of chemical reactions is presented and a finite-volume scheme for such problem is developed. The proposed method is based on a flux-vector splitting approach and it is second-order in space and time. The final non-linear problem coming from the discretization has a characteristic block diagonal structure that allows a decoupling in smaller subproblems. Finally, a set of numerical tests shows interesting behaviors in the evolution of the space-dependent fluid-dynamic fields driven by chemical reactions, not present in previous space homogeneous simulations.
Citation
Maria Groppi. Micol Pennacchio. "An IMEX finite volume scheme for reactive Euler equations arising from kinetic theory." Commun. Math. Sci. 1 (3) 449 - 470, September 2003.
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