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A Simple Flux Splitting Scheme for Compressible Flows

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Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NONUFM,volume 72))

Summary

A flux splitting scheme suitable for the computation of compressible flows is developed. In order to establish a robust and accurate, however simple method for the discretization of the convective fluxes, elements of the well known LDFSS- and HCUSP-flux splitting schemes are used. The resulting formulation is based on terms with regard to the Mach number, it almost completely avoids the computation of an intermediate state at a cell face, and it shows no violation of the entropy condition. Application to 2D transonic and hypersonic, inviscid and viscous flows shows that despite its simplicity, the scheme rivals other most advanced schemes commonly in use, with respect to both accuracy and robustness.

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Wolfgang Nitsche Hans-Joachim Heinemann Reinhard Hilbig

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© 1999 Springer Fachmedien Wiesbaden

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Rossow, CC. (1999). A Simple Flux Splitting Scheme for Compressible Flows. In: Nitsche, W., Heinemann, HJ., Hilbig, R. (eds) New Results in Numerical and Experimental Fluid Mechanics II. Notes on Numerical Fluid Mechanics (NNFM), vol 72. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-10901-3_46

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  • DOI: https://doi.org/10.1007/978-3-663-10901-3_46

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-663-10903-7

  • Online ISBN: 978-3-663-10901-3

  • eBook Packages: Springer Book Archive

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