Reactive and reactive-diffusive time scales in stiff reaction-diffusion systems

作者: Dimitris A. Goussis , Mauro Valorani , Francesco Creta , Habib N. Najm

DOI: 10.1504/PCFD.2005.007064

关键词: ManifoldSet (abstract data type)Asymptotic analysisStatistical physicsDevelopment (differential geometry)Reaction–diffusion systemComputer scienceDiffusion (business)Time marchingTerm (time)

摘要: Two different sets of time scales arising in stiff systems reaction-diffusion PDEs are examined; the first due to reaction term alone and second interaction diffusion terms. The fastest each set responsible for development a low dimensional manifold, characteristics which depend on considered. advantages disadvantages employing these two manifolds simplification large discussed. It is shown that approaches provide non-stiff simplified system similar accuracy. approach based allows simpler construction system, while reaction/diffusion marching scheme.

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