Propagation of a curved weak shock
total-variation-bounded finite difference scheme
This paper deals with the propagation of a weak shock. The governing system of shock ray equation coupled to an infinite system of transport equations along these rays, is approximated by a hyperbolic system of four PDEs in a ray coordinate system. These equations are solved numerically for converging shock fronts starting from various kinds of initial geometry. A total-variation-bounded finite difference scheme based on Lax-Friedrichs flux is used to solve the conservation laws together with Strang splitting which accounts for the source term. The results are compared with existing results.
scientific article; zbMATH DE number 1625634