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Operator Splitting Method for Compressible Euler and Navier-Stokes Equations

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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))

Summary

The paper is concerned with a method for numerical solution of compressible transonic and hypersonic viscous flow with high Reynolds numbers. The method is based on the finite volume Osher-Solomon scheme applied on a nonuniform grid and used for the discretization of hyperbolic convective terms. The solution of the complete viscous compressible system is carried out via operator inviscid-viscous splitting. Some numerical results are presented.

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References

  1. Bristeau, M.O., Glowinski R., Periaux J., Viviand H. (eds.): “Numerical Simulation of Compressible Navier—Stokes Flows”, Notes on Numerical Fluid Mechanics, Volume 18, Vieweg, Braunschweig, 1987.

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Friedrich-Karl Hebeker Rolf Rannacher Gabriel Wittum

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© 1994 Springer Fachmedien Wiesbaden

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Feistauer, M., Knobloch, P. (1994). Operator Splitting Method for Compressible Euler and Navier-Stokes Equations. 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_8

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  • DOI: https://doi.org/10.1007/978-3-663-14007-8_8

  • 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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