Propagation of a curved weak shock (Q2731183)
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scientific article; zbMATH DE number 1625634
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Propagation of a curved weak shock |
scientific article; zbMATH DE number 1625634 |
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Propagation of a curved weak shock (English)
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11 September 2002
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curved weak shock
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shock ray equation
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infinite system of transport equations
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hyperbolic system
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ray coordinate system
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converging shock fronts
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total-variation-bounded finite difference scheme
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Lax-Friedrichs flux
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conservation laws
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Strang splitting
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source term
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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.
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