Journal
JOURNAL OF ADVANCED RESEARCH
Volume 4, Issue 4, Pages 321-329Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.jare.2012.05.006
Keywords
Hyperbolic systems; Boundary conditions; Characteristics; Euler equations; Viscoelastic liquids
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Funding
- Natural Sciences and Engineering Research Council of Canada (NSERC)
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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. (C) 2012 Cairo University. Production and hosting by Elsevier B.V. All rights reserved.
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