Communications in Mathematical Sciences

An IMEX finite volume scheme for reactive Euler equations arising from kinetic theory

Maria Groppi and Micol Pennacchio

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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.

Article information

Source
Commun. Math. Sci., Volume 1, Number 3 (2003), 449-470.

Dates
First available in Project Euclid: 21 August 2009

Permanent link to this document
https://projecteuclid.org/euclid.cms/1250880096

Mathematical Reviews number (MathSciNet)
MR2069940

Zentralblatt MATH identifier
1111.82046

Subjects
Primary: 82C40: Kinetic theory of gases 76M12: Finite volume methods

Keywords
Boltzmann equation chemical reactions finite volumes semi-implicit schemes

Citation

Groppi, Maria; Pennacchio, Micol. An IMEX finite volume scheme for reactive Euler equations arising from kinetic theory. Commun. Math. Sci. 1 (2003), no. 3, 449--470. https://projecteuclid.org/euclid.cms/1250880096


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