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Numerical solutions of compressible viscous flows using hierarchical cartesian grid

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Fifteenth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 490))

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Abstract

A hierarchical Cartesian grid approach is developed for solving compressible viscous flows. The numerical procedure is based on the method of lines. For spatial discretization the local collocation method composed of the quadratic function approximation is introduced near the body and 2nd-order central difference scheme is used for the others. 2-stage Runge-Kutta(RK2) scheme is used for time integration.

To demonstrate the flexibility of the present approach, both steady and unsteady compressible viscous flow problems are computed and compared with other numerical results. Extension of the present approach to three dimensions is straightforward and it is confirmed that the numerical results are in good agreement with other results.

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Author information

Authors and Affiliations

  1. Kyoto Institute of Technology, Matsugasaki, Sakyo-ku, 606, Kyoto, Japan

    Nobuyuki Satofuka

  2. Matsushita Refrigeration Company, Higashi-osaka, 577, Osaka, Japan

    Akira Nakano & Nobuo Shimomura

Authors
  1. Nobuyuki Satofuka
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  2. Akira Nakano
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  3. Nobuo Shimomura
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Editor information

Paul Kutler Jolen Flores Jean-Jacques Chattot

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© 1997 Springer-Verlag

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Satofuka, N., Nakano, A., Shimomura, N. (1997). Numerical solutions of compressible viscous flows using hierarchical cartesian grid. In: Kutler, P., Flores, J., Chattot, JJ. (eds) Fifteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107173

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  • DOI: https://doi.org/10.1007/BFb0107173

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63054-8

  • Online ISBN: 978-3-540-69120-4

  • eBook Packages: Springer Book Archive

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