Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629223 | Applied Mathematics and Computation | 2013 | 11 Pages |
Abstract
In this paper, we study the Riemann problem for a two-dimensional hyperbolic system of conservation laws with initial data projecting exactly three contact discontinuities. We use the generalized characteristic analysis method to analyze interactions of contact discontinuities, and obtain six analytical solutions and corresponding criteria. Delta shock waves and spiral structures appear in some solutions. We also conduct numerical experiments, and numerical results confirm the geometric structures of the constructed solutions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yicheng Pang, Jianjun Paul Tian, Hanchun Yang,