Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem

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• 作者：Kirill M. Terekhov^a ; ^{terekhov@stanford.edu} ; Bradley T. Mallison^b ; ^{btmb@chevron.com} ; Hamdi A. Tchelepi^a ; ^{tchelepi@stanford.edu}
• 关键词：Finite volume method ; Discrete maximum principle ; Positivity preserving property ; Anisotropic diffusion equation ; Interpolation method ; Unstructured mesh
• 刊名：Journal of Computational Physics
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：330
• 期：Complete
• 页码：245-267
• 全文大小：4386 K
• 卷排序：330

文摘

A method for consistent interpolation in heterogeneous media is proposed. A finite-volume flux is split into sum of two-point flux approximation and transversal part. Methods preserving positivity and satisfying the discrete maximum principle are constructed. Parametrization of the split and unsplit flux is proposed to address locking issue. A strategy for the choice of the parameter is proposed.