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Integral formulation of a diffusive-convective transport equation for reacting flows. (English) Zbl 1130.76382

Summary: This paper deals with a numerical solution of a diffusive-convective transport equation for reacting flows based on boundary-domain integral formulation for diffusive-convective fundamental solution. A great part of attention has been dedicated to the numerical treatment of the diffusive-convective transport equation for high Pe number and reaction term values as the convective or reaction term becomes dominant compared to the diffusion one. In this case, the hyperbolic character predominates the ellipticity or parabolicity of the governing transport equation, and stability problems arise in the numerical solution. Numerical efficiency of the developed numerical implementation is tested against analytical and numerical results for the typical test cases of diffusive-convective transport problems (i.e. multi-component reacting flows)

MSC:

76M15 Boundary element methods applied to problems in fluid mechanics
76V05 Reaction effects in flows
76R99 Diffusion and convection
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