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- W2008816331 abstract "This article presents a conservative finite-volume-based scheme for discretization of the anisotropic diffusion operator, which is simple to implement and numerically conservative. The procedure is an extension of a standard method used for discretization of the isotropic diffusion operator in finite-volume methods. Consequently, the technique can be easily implemented in codes originally developed to solve isotropic diffusion problems. The method is applied in an unstructured finite-volume solver and assessed by solving the following four problems: (1) steady conduction in an anisotropic block, (2) anisotropic conduction with a source term, (3) anisotropic conduction in a hollow block, and (4) heterogeneous anisotropic conduction with embedded point heat sources. Calculations are performed for a wide range of parameters using triangular/quadrilateral cells on grid systems with sizes ranging between 102 and 3 × 105 control volumes, and convergence is accelerated through the use of an algebraic multigrid m..." @default.
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- W2008816331 date "2009-04-24" @default.
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- W2008816331 title "A Compact Procedure for Discretization of the Anisotropic Diffusion Operator" @default.
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- W2008816331 doi "https://doi.org/10.1080/10407790902816747" @default.
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