×

zbMATH — the first resource for mathematics

An upwind kinetic flux vector splitting method on general mesh topologies. (English) Zbl 0791.76068
Summary: An upwind flux vector splitting algorithm which utilizes the moments of the Boltzmann equation to derive the Euler equations for inviscid compressible flow has been used with a variety of grid types. Although the upwind approach offers the potential for accurate flow simulations, it is necessary to ensure that such procedures can be utilized on realistic grids. In this paper, an upwind algorithm is used with structured multiblock grids, unstructured grids of triangles and hybrid structured/unstructured grids to solve realistic compressible flow problems in two dimensions.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] ’Applications of Mesh Generation to Complex 3-D Configurations’, AGARD Conference Proceedings No. 464, 1989
[2] and . (eds.), Proc. of the conf. on Num. Mesh Generation. Elsevier, Amsterdam, 1991
[3] and , ’Calculation of inviscid transonic flow over a complete aircraft’, 24th Averospace Science Meeting, Reno, AIAA Paper. No. 86-10103, 1986.
[4] Weatherill, Int. J. numer. methods. fluids 8 pp 181– (1988)
[5] Weatherill, AIAA Paper pp 93– (1993)
[6] Marchant, Commun. numer. methods eng. 9 pp 567– (1993)
[7] Weatherill, J. Aircraft. 22 pp 855– (1985)
[8] Weatherill, The Aeronautical J. 94 pp 111– (1990)
[9] and , ’Higher order accurate kinetic fluxvector splitting method for Euler equation’, Proc. 2nd Int. Conf. on Non-liner Hyperbolic Problems, Aachen, FRG, March 14-18 1988. Note on Numerical Fluid Mechanics, Vieweg. 1989, Vol. 24, pp 384-392.
[10] Mathur, Int. j. numer. methods fluids 15 pp 59– (1992)
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.