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Michael Sever
Department of Mathematics, Hebrew University
Mach reflection: Irregular or Illusory?
September 9, 2008
3-4 PM, 646 PGH
Abstract
We consider the reflection of an incident shock by a wedge for the “nonlinear wave
system.” For wedge angle sufficiently small, it is shown that a homotopy between weak regular
reflection and Mach or irregular reflection, parameterized by shock strength, does not exist.
This suggests that Mach reflection is not only irregular, but also illusory, and that attempts to compute
solution structure in the neighborhood of the “triple point” will produce results necessarily
dependent on the numerical dissipation.
David H. Wagner University of Houston
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Last modified: September 26 2017 - 05:42:22