×

zbMATH — the first resource for mathematics

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.

MSC:
76M12 Finite volume methods applied to problems in fluid mechanics
76R99 Diffusion and convection
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Doswell C, Journal of Atmospheric Sciences 41 pp 1242– (1984)
[2] Frink N, AIAA Journal 30 pp 70– (1992) · Zbl 0741.76043
[3] Jameson A, AIAA Technical Report pp 81– (1981)
[4] Koren B, Numerical Methods for Advection–Diffusion Problems pp 117– (1993)
[5] DOI: 10.1016/0021-9991(81)90128-5 · Zbl 0474.65066
[6] Roe PL, Lectures in Applied Mathematics 22 pp 163– (1985)
[7] Roe PL, Algorithms for advection and shock problems, 4th GAMM Conference on Numerical Methods in Fluid Mechanics (1982) · Zbl 0482.76008
[8] Smolarkiewicz P, Monthly Weather Review 110 pp 1968– (1982)
[9] Staniforth A, Monthly Weather Review 115 pp 894– (1987) · Zbl 0621.76024
[10] Tamamidis P, Computational Methods in Applied Mechanics and Engineering 124 pp 15– (1995) · Zbl 1067.76581
[11] DOI: 10.1007/BFb0118673 · Zbl 0255.76064
[12] DOI: 10.1016/0021-9991(74)90019-9 · Zbl 0276.65055
[13] DOI: 10.1016/0021-9991(79)90145-1 · Zbl 1364.65223
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.