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Comparative study of flux-limiters based on MUST differencing scheme. (English) Zbl 1094.76044
Summary: A comparative study of a number of flux-limiters based on monotonic upwind schemes for triangles (MUST) is presented to find the most suitable flux-limiter for unsteady and steady convective flow calculations. The accuracy and convergence of these flux-limiters are assessed in five pure convection problems: (1) rotation of a cone-shaped scalar field, (2) advection of a square-shaped scalar field, (3) mixing of a hot with a cold front, (4) deformation of cone-shaped scalar field and (5) IAHR. The superbee flux-limiter results in the most accurate solutions in unsteady flow problems, and the Koren flux-limiter is the more appropriate in steady flow problems because of its good convergence behaviour.

76M12 Finite volume methods applied to problems in fluid mechanics
76R99 Diffusion and convection
Full Text: DOI
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