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Shock Waves pp 1181–1186Cite as

Perturbational finite volume scheme for the one-dimensional Navier-Stokes equations

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Abstract

Starting from the second-order finite volume scheme,though numerical value perturbation of the cell facial fluxes, the perturbational finite volume (PFV) scheme of the Navier-Stokes (NS) equations for compressible flow is developed in this paper. The central PFV scheme is used to compute the one-dimensional NS equations with shock wave. Numerical results show that the PFV scheme can obtain essentially non-oscillatory solution.

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References

  1. J.H. Ferziger, M. Peric: Computational Methods for Fluid Dynamics, 3rd edn. (Springer, New York 2002)

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Author information

Authors and Affiliations

  1. LED, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100080, China

    Y. Q. Shen, Z. Gao & G. W. Yang

Authors
  1. Y. Q. Shen
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  2. Z. Gao
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  3. G. W. Yang
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Editor information

Editors and Affiliations

  1. Key Laboratory of High-Temperature Gas Dynamics Institute of Mechanics, Chinese Academy of Sciences, 15 Bei Si Huan Xi Rd., Beijing, 100080, P.R. China

    Z. Jiang

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© 2005 Tsinghua University Press and Springer-Verlag Berlin Heidelberg

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Shen, Y.Q., Gao, Z., Yang, G.W. (2005). Perturbational finite volume scheme for the one-dimensional Navier-Stokes equations. In: Jiang, Z. (eds) Shock Waves. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27009-6_182

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  • DOI: https://doi.org/10.1007/978-3-540-27009-6_182

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22497-6

  • Online ISBN: 978-3-540-27009-6

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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