Communications in Mathematical Sciences
Volume 1 (2003)
An IMEX finite volume scheme for reactive Euler equations arising from kinetic theory
Pages: 449 – 470
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.
Boltzmann equation; chemical reactions; finite volumes; semi-implicit schemes
2010 Mathematics Subject Classification