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The hybrid model and its application for studying free expansion

Published online by Cambridge University Press:  20 April 2006

G. J. Pert
G. J. Pert
Affiliation:
Department of Applied Physics, University of Hull, Hull HU6 7RX. U.K.
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Abstract

The existence of modes of compressible fluid flow involving a separation of variables into a similarity solution in two dimensions and one-dimensional flow in the third is demonstrated. The numerical integration of such flows by a modified von Neumann–Richtmyer scheme is proposed, and the stability conditions investigated, showing that a generalized Courant–Friedrichs–Lewy condition is necessary. The inclusion of dissipation in the forms of artificial viscosity and thermal conduction into the model is discussed. The results of some test calculations are presented to demonstrate the behaviour of this model.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 131 , June 1983 , pp. 401 - 426
Copyright
© 1983 Cambridge University Press

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References

Courant, R. & Friedrichs, K. O. 1948 Supersonic Flow and Shock Waves. Wiley-Interscience.
Gear, C. W. 1971 Numerical Initial Value Problems in Ordinary Differential Equations. Prentice-Hall.
Hall, H. S. & Knight, S. R. 1948 Higher Algebra. MacMillan.
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Pert, G. J. 1983 J. Comp. Phys. 49, 1.
Richtmyer, R. D. & Morton, K. W. 1967 Difference Methods for Initial Value Problems. Wiley-Interscience.