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Solution of Compressible Euler Flows Using Rational Runge-Kutta Time Stepping Scheme

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Numerical Simulation of Compressible Euler Flows

Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 26))

Summary

A Method of lines approach has been applied for solving compressible flows governed by the Euler Equations. The method is based on a central difference approximation to spatial derivatives and subsequent time integration using the rational Runge-Kutta scheme. Numerical results are presented for several test cases of GAMM Workshop on the Numerical Simulation of Compressible Euler Flows.

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References

  1. Satofuka, N., Morinishi, K., and Tokunaga, H., “Numerical Solution of the Euler Equations using Rational Runge-Kutta Method,” Notes on Numerical Fluid Mechanics, Vol. 13, Friedr. Vieweg & Sohn, Braunschweig/Wiesbaden, 1986, pp. 319–326.

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Author information

Authors and Affiliations

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

    Nobuyuki Satofuka & Koji Morinishi

Authors
  1. Nobuyuki Satofuka
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  2. Koji Morinishi
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Editor information

Alain Dervieux Bram Van Leer Jacques Periaux Arthur Rizzi

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© 1989 Friedr Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Satofuka, N., Morinishi, K. (1989). Solution of Compressible Euler Flows Using Rational Runge-Kutta Time Stepping Scheme. In: Dervieux, A., Leer, B.V., Periaux, J., Rizzi, A. (eds) Numerical Simulation of Compressible Euler Flows. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 26. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87875-5_17

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  • DOI: https://doi.org/10.1007/978-3-322-87875-5_17

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-528-07626-9

  • Online ISBN: 978-3-322-87875-5

  • eBook Packages: Springer Book Archive

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