Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629516 | Applied Mathematics and Computation | 2012 | 17 Pages |
Abstract
This paper studies the two-dimensional Riemann problem for a hyperbolic system of conservation laws with three constant initial data separated by x-positive, y-positive and x-negative axes. Using the generalized characteristic analysis method, by considering the interactions of rarefaction waves, shock waves and contact discontinuities, 13 exact solutions and the corresponding criteria are obtained. Delta-shock waves appear in some solutions. Moreover, the numerical illustrations agree completely with the geometric structures of the exact solutions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yicheng Pang, Jianjun Paul Tian, Hanchun Yang,