Simulation of planar ionization wave front propagation on an unstructured adaptive grid

Autor:	Jaroslav Fořt, Jan Karel, Khaled Hassouni, Fayssal Benkhaldoun
Rok vydání:	2012
Předmět:	Convection Wavefront Mathematical optimization Finite volume method Discretization Applied Mathematics Mathematical analysis Upwind scheme Numerical simulation Grid System of linear equations Computational Mathematics Dynamic mesh adaptation Poisson's equation Discharge motion Mathematics
Zdroj:	Journal of Computational and Applied Mathematics. 236(18):4623-4634
ISSN:	0377-0427
DOI:	10.1016/j.cam.2012.04.010
Popis:	The paper deals with the numerical solution of a basic 2D model of the propagation of an ionization wave. The system of equations describing this propagation consists of a coupled set of reaction–diffusion-convection equations and a Poissons equation. The transport equations are solved by a finite volume method on an unstructured triangular adaptive grid. The upwind scheme and the diamond scheme are used for the discretization of the convection and diffusion fluxes, respectively. The Poisson equation is also discretized by the diamond scheme. Numerical results are presented. We deal in more detail with numerical tests of the grid adaptation technique and its influence on the numerical results. An original behavior is observed. The grid refinement is not sufficient to obtain accurate results for this particular phenomenon. Using a second order scheme for convection is necessary.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66f8aaea63fcc9122c0423e7b4396de7 Zobrazit plný text záznamu Full Text from ScienceDirect