Boundary conditions for hyperbolic systems of partial differentials equations

• Main Authors: Amr G. Guaily, Marcelo Epstein
• Format: Article
• Language: English
• Published: Elsevier 2013-07-01
• Series: Journal of Advanced Research
• Subjects: Hyperbolic systems; Boundary conditions; Characteristics; Euler equations; Viscoelastic liquids
• Online Access: http://www.sciencedirect.com/science/article/pii/S2090123212000355

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.