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An Improved Quadrature Rule for the Flux-Computation in Staggered Central Difference Schemes in Multidimensions

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Abstract

We present a new second-order, nonoscillatory, central difference scheme on two-dimensional, staggered, Cartesian grids for systems of conservation laws. The scheme uses a new, carefully designed integration rule for the flux computations and thereby takes more propagation directions into account. This effectively reduces grid orientation effects produced for two-dimensional radially symmetric gas flows and improves the accuracy for smooth solutions.

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Reference--

  1. Arminjon, P., Stanescu, D., and Viallon, M.-C. (1995). A two-dimensional finite volume extension of the Lax–Friedrichs and Nessyahu–Tadmor schemes for compressible flows. In Hafez, M., and Oshima, K. (eds.), Proc. 6th. Int. Symp. on CFD, Lake Tahoe, Vol. IV, pp. 7-14.--

  2. Jiang, G.-S., and Tadmor, E. (1998). Nonoscillatory central schemes for multidimensional hyperbolic conservation laws. SIAM J. Sci. Comput. 19(6), 1892-1917.--

    Google Scholar 

  3. Lax, P. (1954). Weak solutions of nonlinear hyperbolic equations and their numerical computation. Comm. Pure Appl. Math. 7, 159-193.--

    Google Scholar 

  4. Levy, D., Puppo, G., and Russo, G. (1999). Central WENO schemes for hyperbolic systems of conservation laws. Math. Mod. Num. Anal. (MMAN) 33(3), 547-571.--

    Google Scholar 

  5. Nessyahu, H., and Tadmor, E. (1990). Non-oscillatory central differencing for hyperbolic conservation laws. J. Comput. Phys. 87, 408-463.----

    Google Scholar 

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Authors and Affiliations

  1. Department of Numerical Simulation, SINTEF Applied Mathematics, P.0. Box 124 Blindern, N-0314, Oslo, Norway

    Knut-Andreas Lie

  2. Scientific Computing Group, Department of Informatics, University of Oslo, Norway

    Knut-Andreas Lie

  3. Institut für Geometrie und Praktische Mathematik, RWTH Aachen, D-52056, Aachen, Germany

    Sebastian Noelle

Authors
  1. Knut-Andreas Lie
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  2. Sebastian Noelle
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Lie, KA., Noelle, S. An Improved Quadrature Rule for the Flux-Computation in Staggered Central Difference Schemes in Multidimensions. Journal of Scientific Computing 18, 69–81 (2003). https://doi.org/10.1023/A:1020386111898

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  • DOI: https://doi.org/10.1023/A:1020386111898

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