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Weak shock diffraction

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Free Boundary Problems and Related Topics

Co-author: Allen Tesdall (CUNY)

We study the diffraction of a weak, self-similar shock in two space dimensions near a point where its shock strength approaches zero and the shock turns continuously into an expansion wavefront. For example, this happened when a weak shock hits a semi-infinite screen. The local asymptotic solution satisfies the unsteady transonic small disturbance equation. We also consider a related half-space problem where a shock whose strength approaches zero reflects off a ``soft’’ boundary. Numerical solutions show a complex reflection pattern similar to one that occurs in the Guderley Mach reflection of weak shocks.

This talk is part of the Isaac Newton Institute Seminar Series series.

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