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Multidimensional flux-limited advection schemes. (English) Zbl 0840.76063
A general method for building multidimensional shape preserving advection schemes using flux limiters is presented. The method works for advected passive scalars in either compressible or incompressible flow and on arbitrary grids. With a minor modification it can be applied to the equation for fluid density. Some straightforward refinements lead to a shape-preserving scheme that gives satisfactory results, with negligible and grid-flow angle-dependent distortion.
Reviewer: Reviewer (Berlin)

76M20 Finite difference methods applied to problems in fluid mechanics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
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