Abstract
A class of numerical dissipation models for central-difference schemes constructed with second- and fourth-difference terms is considered. The notion of matrix dissipation associated with upwind schemes is used to establish improved shock capturing capability for these models. In addition, conditions are given that guarantee that such dissipation models produce a TVD scheme. Appropriate switches for this type of model to ensure satisfaction of the TVD property are presented. Significant improvements in the accuracy of a central-difference scheme are demonstrated by computing both in viscid and viscous transonic airfoil flows.
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© 1992 Academic Press, Inc.
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Swanson, R.C., Turkel, E. (1992). On Central-Difference and Upwind Schemes. In: Hussaini, M.Y., van Leer, B., Van Rosendale, J. (eds) Upwind and High-Resolution Schemes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60543-7_10
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DOI: https://doi.org/10.1007/978-3-642-60543-7_10
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