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High resolution NVD differencing scheme for arbitrarily unstructured meshes. (English) Zbl 0952.76057
From the summary: This paper proposes a modification of the normalized variable diagram (NVD) criterion that localizes it and thus makes it applicable irrespective of the mesh structure, facilitating the implementation of ‘standard’ bounded differencing schemes on unstructured meshes. Based on this strategy, a new bounded version of central differencing constructed on the compact computational molecule is proposed, and its performance is compared with other popular differencing schemes on several model problems.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)
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[1] Leonard, Comp. Methods Appl. Mech. Eng. 88 pp 17– (1991)
[2] Numerical Computation of Internal and External Flows, Wiley, New York, 1991.
[3] Osher, SIAM J. Numer. Anal. 21 pp 955– (1984)
[4] Harten, J. Comp. Phys. 49 pp 357– (1983)
[5] Harten, SIAM J. Numer. Anal. 31 pp 1– (1984)
[6] Large scale computations in fluid mechanics, part 2, Lectures in Applied Mathematics, vol. 22, Springer, Berlin, 1985, pp. 163-193.
[7] Van Leer, J. Comp. Phys. 14 pp 361– (1974)
[8] Van Leer, J. Comp. Phys. 23 pp 101– (1977)
[9] Sweby, SIAM J. Numer. Anal. 21 pp 995– (1984)
[10] Leonard, Int. J. Numer. Methods Fluids 8 pp 1291– (1988)
[11] Gaskell, Int. J. Numer. Methods Fluids 8 pp 617– (1988)
[12] Darwish, Numer. Heat Transf. B 24 pp 353– (1993)
[13] ’Prediction of three-dimensional engine flow on unstructured meshes’, Ph.D. Thesis, Imperial College, University of London, 1990.
[14] and , Computational Methods for Fluid Dynamics, Springer, Berlin, 1995.
[15] Gosman, Trans. I. Chem. E. 76 pp 153– (1998)
[16] ’Error analysis and estimation in the finite volume method with applications to fluid flows’, Ph.D. Thesis, Imperial College, University of London, 1996.
[17] Muzaferija, J. Comp. Phys. 138 pp 766– (1997)
[18] Warming, AIAA J. 14 pp 1241– (1976)
[19] Leonard, Comp. Methods Appl. Mech. Eng. 19 pp 59– (1979)
[20] Darwish, Numer. Heat Transf. B 26 pp 79– (1994)
[21] Zhu, Commun. Appl. Numer. Methods 7 pp 225– (1991)
[22] STAR-CD Version 2.1–Manuals, Computational Dynamics Limited, 1991.
[23] Zhu, Comp. Methods Appl. Mech. Eng. 92 pp 87– (1991)
[24] Demirdžić, Int. J. Numer. Methods Fluids 16 pp 1029– (1993)
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