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Non-linear weak shock diffraction

Published online by Cambridge University Press:  09 April 2009

N. J. De Mestre
Affiliation:
Royal Military CollegeDuntroon, A.C.T.
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Abstract

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Perturbation expansions are sought for the flow variables associated with the diffraction of a plane weak shock wave around convex-angled corners in a polytropic, inviscid, thermally-nonconducting gas. Lighthill's method of strained co-ordinates [4] produces a uniformly valid expansion for most of the diffracted front, while the remainder of this front is treated by a modification of the shock-ray theory of Whitham [6]. The solutions from these approaches are patched just inside the ‘shadow’ region yielding a plausible description of the entire diffracted shock front.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1968

References

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