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An Explicit Finite-Difference Solution of Hypersonic Flows Using Rational Runge-Kutta Scheme

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Book cover Hypersonic Flows for Reentry Problems

Summary

An explicit method of lines approach has been applied for solving hypersonic flows governed by the Euler, Navier-Stokes and Boltzmann equations. The method is based on a finite difference approximation to spatial derivatives and subsequent time integration using the rational Runge-Kutta scheme. Numerical results are presented for the hypersonic flow over a double ellipse which is a test case of the Workshop on Hypersonic Flows for Reentry Problems, January 22–25, 1990 in Antibes(France).

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References

  1. Morinishi, K. amp; Satofuka, N., “Convergence Acceleration of Rational Runge-Kutta Scheme for Euler and Navier-Stokes Equations,” A Collection of Technical Papers ISCFD Nagoya, pp. 131–136 (1989).

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  2. Wambecq, A., “Rational Runge-Kutta Methods for Solving Systems of Ordinary Differential Equations,” Computing 20, pp. 333–342, (1978).

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  4. Yee, H.C., “Upwind and Symmetric Shock-Capturing Schemes,” NASA TM 89464 (1987).

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© 1991 Springer-Verlag Berlin Heidelberg

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Satofuka, N., Morinishi, K. (1991). An Explicit Finite-Difference Solution of Hypersonic Flows Using Rational Runge-Kutta Scheme. In: Désidéri, JA., Glowinski, R., Périaux, J. (eds) Hypersonic Flows for Reentry Problems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76527-8_41

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  • DOI: https://doi.org/10.1007/978-3-642-76527-8_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76529-2

  • Online ISBN: 978-3-642-76527-8

  • eBook Packages: Springer Book Archive

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