Discretization of the stationary convection-diffusion-reaction equation

B. Hof, van 't, J.H.M. Thije Boonkkamp, ten, R.M.M. Mattheij

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Abstract

A finite volume method for the convection-diffusion-reaction equation is presented, which is a model equation in combustion theory. This method 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.
Original languageEnglish
Pages (from-to)607-625
Number of pages19
JournalNumerical Methods for Partial Differential Equations
Volume14
Issue number5
DOIs
Publication statusPublished - 1998

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