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A High-Resolution Flux Splitting Scheme for the Solution of the Compressible Navier-Stokes Equations on Triangular Grids

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Numerical methods for the Navier-Stokes equations

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 47))

Abstract

The AUSM flux vector splitting scheme is employed as the basis for the construction of a highresolution MUSCL type algorithm for the simulation of high speed compressible flows. A high-order conservative shock-capturing scheme is achieved for multidimensional simulation by the adoption of a Galerkin finite element formulation, implemented with a side-based representation for the grid. The resulting scheme is extended for the solution of the full Navier Stokes equations by computing the viscous terms via a mixed formulation.

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Friedrich-Karl Hebeker Rolf Rannacher Gabriel Wittum

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© 1994 Springer Fachmedien Wiesbaden

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Lyra, P.R.M., Morgan, K., Peraire, J. (1994). A High-Resolution Flux Splitting Scheme for the Solution of the Compressible Navier-Stokes Equations on Triangular Grids. In: Hebeker, FK., Rannacher, R., Wittum, G. (eds) Numerical methods for the Navier-Stokes equations. Notes on Numerical Fluid Mechanics (NNFM), vol 47. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14007-8_17

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  • DOI: https://doi.org/10.1007/978-3-663-14007-8_17

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-07647-4

  • Online ISBN: 978-3-663-14007-8

  • eBook Packages: Springer Book Archive

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