Tensor viscosity method for convection in numerical fluid dynamics

A new method, called the tensor viscosity method, is described for differencing the convective terms in multidimensional numerical fluid dynamics. The method is the proper generalization to two or three dimensions of interpolated donor cell differencing in one dimension, and is designed to achieve n...

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Bibliographic Details
Published in:Journal of computational physics 1979-07, Vol.32 (1), p.71-79
Main Authors: Dukowicz, J.K, Ramshaw, J.D
Format: Article
Language:English
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Summary:A new method, called the tensor viscosity method, is described for differencing the convective terms in multidimensional numerical fluid dynamics. The method is the proper generalization to two or three dimensions of interpolated donor cell differencing in one dimension, and is designed to achieve numerical stability with minimal numerical damping. It is a single-step method that is distinguished by simplicity and ease of implementation, even in the case of an arbitrary non-rectangular mesh. It should therefore be useful in finite-element as well as finite-difference formulations.
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(79)90142-6