The high speed flow of complex materials can often be modeled by the compressible Euler equations coupled to (possibly many) additional advection equations. Traditionally, good computational results have been obtained by writing these systems in fully conservative form and applying the general metho
Efficient preconditioning of linear systems arising from the discretization of hyperbolic conservation laws
✍ Scribed by Andreas Meister; Christof Vömel
- Book ID
- 110351156
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 280 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1019-7168
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The existence of semi-discrete shock profiles for a general hyperbolic system of conservation laws is proved. Such profiles are regarded as heteroclinic orbits of a retarded functional differential equation (RFDE). The proof relies on the Hale center manifold theorem and holds for shocks of small st
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