Weak shock diffraction

30 mins 48 secs,  197.08 MB,  WebM  640x360,  29.97 fps,  44100 Hz,  873.64 kbits/sec
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Description: Hunter, JK (University of California, Davis)
Tuesday 24 June 2014, 10:20-10:50
 
Created: 2014-07-11 11:42
Collection: Free Boundary Problems and Related Topics
Publisher: Isaac Newton Institute
Copyright: Hunter, JK
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: 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.
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