Abstract
A class of truly multidimensional upwind schemes for the computation of inviscid compressible flows is presented here, applicable to unstructured cell-vertex grids. These methods use very compact stencils and produce sharp resolution of discontinuities with no overshoots.
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Barth, T. J. (1990): On unstructured grids and solvers. VKI LS 1990-04
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
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
De Palma, P.; Deconinck, H.; Struijs, R. (1990): Investigation of Roe's 2D wave models for the Euler equations. VKI TN 172
Roe, P. L. (1981): The use of the Riemann problem in finite differences. In: Reynolds, W. C.; MacCormac, R. W. (eds): 7th Int. Conf. Numerical Meth. in Fluid Dynamics. Berlin, Heidelberg, New York: Springer
Roe, P. L. (1981): Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comp. Phys. 43, No. 2, 357
Roe, P. L. (1982): Fluctuations and signals—A framework for numerical evolution problems. In: Mortan, K. W.; Baines, M. J. (eds): Numerical Methods for Fluid Dynamics: New York: Academic Press
Roe, P. L. (1986): Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics. J. Comp. Phys. 63, 458–476
Roe, P. L. (1987): Linear advection schemes on triangular meshes. CoA Report No. 8720, Cranfield, November
Roe, P. L. (1991): Beyond the Riemann problem I. ICASE-NASA Langley workshop. September
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
Roe, P. L.; Struijs, R.; Deconinck, H. (1993): A conservative linearization for the multidimensional Euler equations. To appear in J. Comp. Phys.
Sidilkover, D. (1990): Numerical solution to steady-state problems with discontinuities. Ph.D. thesis; Wiezmann Institute, Israel
Struijs, R.; Deconinck, H.; Roe, P. L. (1991): Fluctuation splitting schemes for the 2D Euler equations. VKI lecture series 1991-01
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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Communicated by T. E. Tezduyar, July 3, 1992
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Deconinck, H., Paillère, H., Struijs, R. et al. Multidimensional upwind schemes based on fluctuation-splitting for systems of conservation laws. Computational Mechanics 11, 323–340 (1993). https://doi.org/10.1007/BF00350091
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DOI: https://doi.org/10.1007/BF00350091