# On the Self-similar Diffraction of a Weak Shock into an Expansion Wavefront

@article{Hunter2012OnTS, title={On the Self-similar Diffraction of a Weak Shock into an Expansion Wavefront}, author={John K. Hunter and Allen M. Tesdall}, journal={SIAM J. Appl. Math.}, year={2012}, volume={72}, pages={124-143} }

We study an asymptotic problem that describes the diffraction of a weak, self-similar shock near a point where its shock strength approaches zero and the shock turns continuously into an expansion wavefront. An example arises in the reflection of a weak shock off a semi-infinite screen. The asymptotic problem consists of the unsteady transonic small disturbance equation with suitable matching conditions. We obtain numerical solutions of this problem, which show that the shock diffracts…

## 12 Citations

### Self-similar solutions for the diffraction of weak shocks

- Mathematics, PhysicsJ. Comput. Sci.
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### Diffraction of a shock into an expansion wavefront for the transonic self-similar nonlinear wave system in two space dimensions

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### Diﬀraction of a shock into an expansion wavefront for the transonic self-similar nonlinear wave system in two space dimensions

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We consider a conﬁguration where a planar shock reﬂects and diﬀracts as it hits a semi-inﬁnite rigid screen. The diﬀracted reﬂected shock meets the diﬀracted expansion wave, created by the incident…

### A note on weak shock wave reflection

- Physics
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This work discusses the possibility of reconstructing, both numerically and experimentally, the steady state flow field and shock reflection pattern close to the triple point of von Neumann, Guderley…

### A note on weak shock wave reflection

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The problem of a weak shock, reflected and diffracted by a wedge, is studied for the two‐dimensional compressible Euler system. Some recent developments are overviewed and a perspective is presented…

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Asymptotic solutions are obtained for the two-dimensional Euler system for real gases with appropriate boundary conditions which describe the diffraction of a weak shock at a right-angled wedge; the…

### The unsteady transonic small disturbance equation: Data on oblique curves

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- 2016

We propose and solve a new problem for the unsteady transonic
small disturbance equation.
Data are given for the self-similar equation in a fixed, bounded region of
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Asymptotic solutions are obtained for the two-dimensional Euler system for real gases with appropriate boundary conditions which describe the diffraction of a weak shock at a right-angled wedge; the…

### The Problem of Sonic Shock Formation

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The equations of compressible ideal gas flow in Eulerian coordinates and simplified models of this flow are studied by many mathematicians, physicists and engineers, because of their rich…

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