文章基本信息

标题：Dynamic Diffusion Formulation for Advection Dominated Transport Problems
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作者：Natalia C. B. Arruda ; Regina C. Almeida ; Eduardo G. D. do Carmo 等
期刊名称：Mecánica Computacional
印刷版ISSN：2591-3522
出版年度：2010
卷号：XXIX
期号：20
出版社：CIMEC-INTEC-CONICET-UNL
摘要：Two discontinuous dynamic diffusion formulations for the numerical solution of advectiondiffusion equations are proposed in this work. The ﬁrst one reformulates, using broken spaces, the Consistent Approximate Upwind Petrov-Galerkin (CAU) ﬁnite element model. The second one considers a two-scale framework and introduces an artiﬁcial diffusion to DG formulation that acts isotropically in both scales. The amount of artiﬁcial diffusion is dynamically determined by the resolved scale solution at an element level, yielding a self adaptive and parameter-free method. This formulation takes into account the effective ﬂux through inter-element edges to keep the consistency property. Numerical experiments are conducted, which cover a variety of problem parameter ranges, in order to show the behavior of the proposed methods in comparison with some discontinuous Galerkin methods.