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Boundary conditions for hyperbolic systems of partial differentials equations
Amr G Guaily1, Marcelo Epstein2
1Engineering Mathematics and Physics Department, Faculty of Engineering, Cairo University, Giza 12613, Egypt.
Abstract:
An easy-to-apply algorithm is proposed to determine the correct set(s) of boundary conditions for hyperbolic systems of partial differential equations. The proposed approach is based on the idea of the incoming/outgoing characteristics and is validated by considering two problems. The first one is the well-known Euler system of equations in gas dynamics and it proved to yield set(s) of boundary conditions consistent with the literature. The second test case corresponds to the system of equations governing the flow of viscoelastic liquids.
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