An IMEX finite volume scheme for reactive Euler equations arising from kinetic theory
Groppi, Maria ; Pennacchio, Micol
Commun. Math. Sci., Tome 1 (2003) no. 1, p. 449-470 / Harvested from Project Euclid
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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.
Publié le : 2003-09-15
Classification:  Boltzmann equation,  chemical reactions,  finite volumes,  semi-implicit schemes,  82C40,  76M12 
@article{1250880096,
     author = {Groppi, Maria and Pennacchio, Micol},
     title = {An IMEX finite volume scheme for reactive Euler equations arising from kinetic theory},
     journal = {Commun. Math. Sci.},
     volume = {1},
     number = {1},
     year = {2003},
     pages = { 449-470},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250880096}
}

Groppi, Maria; Pennacchio, Micol. An IMEX finite volume scheme for reactive Euler equations arising from kinetic theory. Commun. Math. Sci., Tome 1 (2003) no. 1, pp.  449-470. http://gdmltest.u-ga.fr/item/1250880096/