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A Global Solution to a Two-dimensional Riemann Problem Involving Shocks as Free Boundaries

A Global Solution to a Two-dimensional Riemann Problem Involving Shocks as Free Boundaries We present a global solution to a Riemann problem for the pressure gradient system of equations. The Riemann problem has initially two shock waves and two contact discontinuities. The angle between the two shock waves is set initially to be close to 180 degrees. The solution has a shock wave that is usually regarded as a free boundary in the self-similar variable plane. Our main contribution in methodology is handling the tangential oblique derivative boundary values. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

A Global Solution to a Two-dimensional Riemann Problem Involving Shocks as Free Boundaries

Acta Mathematicae Applicatae Sinica , Volume 19 (4) – Nov 2, 2015

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Publisher
Springer Journals
Copyright
Copyright © 2003 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-003-0131-1
Publisher site
See Article on Publisher Site

Abstract

We present a global solution to a Riemann problem for the pressure gradient system of equations. The Riemann problem has initially two shock waves and two contact discontinuities. The angle between the two shock waves is set initially to be close to 180 degrees. The solution has a shock wave that is usually regarded as a free boundary in the self-similar variable plane. Our main contribution in methodology is handling the tangential oblique derivative boundary values.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Nov 2, 2015

References