title: Boundary conditions for hyperbolic systems of partial differentials equations.
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.
authors: Engineering Mathematics and Physics Department, Faculty of Engineering, Cairo University, Giza 12613, Egypt.
authors: Amr G
authors: AG
authors: Guaily
authors: University of Calgary, Calgary, Alberta, Canada T2N 1N4.
authors: Marcelo
authors: M
authors: Epstein
keywords: Boundary conditions; Characteristics; Euler equations; Hyperbolic systems; Viscoelastic liquids