DISCRETIZATION OF THE STATIONARY CONVECTION-DIFFUSION-REACTION EQUATION

Authors
VANTHOF B BOONKKAMP JHMT MATTHEIJ RMM
Citation
B. Vanthof et al., DISCRETIZATION OF THE STATIONARY CONVECTION-DIFFUSION-REACTION EQUATION, Numerical methods for partial differential equations, 14(5), 1998, pp. 607-625
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Numerical methods for partial differential equations → ACNP
ISSN journal
0749159X
Volume
14
Issue
5
Year of publication
1998
Pages
607 - 625
Database
ISI
SICI code
0749-159X(1998)14:5<607:DOTSCE>2.0.ZU;2-E
Abstract
A finite volume method for the convection-diffusion-reaction equation is presented, which is a model equation in combustion theory. This met hod is combined with an exponential scheme for the computation of the fluxes. We prove that the numerical fluxes are second-order accurate, uniformly in the local Peclet numbers. (C) 1998 John Wiley & Sons, Inc .