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The development of a shock from standing waves of finite amplitude in an isentropic fluid

Published online by Cambridge University Press:  24 October 2008

N. O. Weiss
N. O. Weiss
Affiliation:
U.K.A.E.A., Gulham Laboratory, Abingdon, Berks.
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Abstract

Numerical integration of the partial differential equations shows that rigid boundaries promote the development of a shock from a finite-amplitude disturbance. A simple step-by-step method agrees with one that also utilizes the characteristics.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 1 , January 1964 , pp. 129 - 135
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1)Courant, R. and Friedrichs, K. O.Supersonic flow and shock waves (Interscience; New York, 1948).Google Scholar
(2)Richtmyer, R. D.Difference methods for initial-value problems (Interscience; New York, 1957).Google Scholar
(3)Hartree, D. R.Numerical analysis (Oxford, 2nd ed., 1958).Google Scholar