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Deconinck, H.; Paillère, H.; Struijs, R.; Roe, P. L.

Multidimensional upwind schemes based on fluctuation-splitting for systems of conservation laws. (English) Zbl 0771.76048

Comput. Mech. 11, No. 5-6, 323-340 (1993).
Summary: A class of truly multidimensional upwind schemes for the computation of inviscid compressible flows is presented, applicable to unstructured cell-vertex grids. These methods use very compact stencils and produce sharp resolution of discontinuities with no overshoots.

Cited in 24 Documents

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
35L65 Hyperbolic conservation laws

Keywords:

triangles; tetrahedra; inviscid compressible flows; unstructured cell- vertex grids; discontinuities
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\textit{H. Deconinck} et al., Comput. Mech. 11, No. 5--6, 323--340 (1993; Zbl 0771.76048)
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References:

[1] Barth, T. J. (1990): On unstructured grids and solvers. VKI LS 1990-04
[2] Bourgois, G.; Deconinck, H.; Roe, P. L.; Struijs, R. (1992): Multidimensional upwind schemes for scalar advection on tetrahedral meshes. First European Computational Fluid Dynamics Conference, Brussels
[3] Deconinck, H.; Roe, P. L.; Struijs, R. (1991): A multidimensional generalization of Roe’s flux difference splitter for the Euler equations. 4th ISCFD Conference, U.C. Davis · Zbl 0790.76054
[4] De Palma, P.; Deconinck, H.; Struijs, R. (1990): Investigation of Roe’s 2D wave models for the Euler equations. VKI TN 172
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[8] Roe, P. L. (1986): Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics. J. Comp. Phys. 63, 458-476 · Zbl 0587.76126
[9] Roe, P. L. (1987): Linear advection schemes on triangular meshes. CoA Report No. 8720, Cranfield, November
[10] Roe, P. L. (1991): Beyond the Riemann problem I. ICASE-NASA Langley workshop. September
[11] Roe, P. L.; Beard, L. (1992): An improved wave model for multidimensional upwinding of the Euler equations. 13th International Conference on Numerical Methods in Fluid Dynamics. Rome
[12] Roe, P. L.; Struijs, R.; Deconinck, H. (1993): A conservative linearization for the multidimensional Euler equations. To appear in J. Comp. Phys. · Zbl 0790.76054
[13] Sidilkover, D. (1990): Numerical solution to steady-state problems with discontinuities. Ph.D. thesis; Wiezmann Institute, Israel
[14] Struijs, R.; Deconinck, H.; Roe, P. L. (1991): Fluctuation splitting schemes for the 2D Euler equations. VKI lecture series 1991-01
[15] Struijs, R.; Deconinck, H.; dePalma, P.; Roe, P. L.; Powell, K. G. (1991): Progress on multidimensional upwind Euler solvers for unstructured grids. AIAA 91-1550
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