Self-similar solutions for the diffraction of weak shocks

  • Tesdall A
  • Hunter J
  • 3

    Readers

    Mendeley users who have this article in their library.
  • 0

    Citations

    Citations of this article.

Abstract

We numerically solve a problem for the unsteady transonic small disturbance equations that describes the diffraction of a weak shock into an expansion wave. In the context of a shock moving into a semi-infinite wall, this problem describes the interaction between the reflected part of the shock and the part that is transmitted beyond the wall. We formulate the equations in self-similar variables, and obtain numerical solutions using high resolution finite difference schemes. Our solutions appear to show that the shock dies out at the sonic line, rather than forms at an interior point of the supersonic region. © 2012 Elsevier B.V..

Author-supplied keywords

  • Hyperbolic conservation law
  • Shock formation
  • Two-dimensional Riemann problems
  • Unsteady transonic small disturbance equations

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Allen M. Tesdall

  • John K. Hunter

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free