Abstract
In spite of the absence of shock waves in most hydrodynamic applications, sufficient reason remains to employ Godunov-type schemes in this field. In the instance of two-phase flow, the shock capturing ability of these schemes may serve to maintain robustness and accuracy at the interface. Moreover, approximate Riemann solvers have greatly relieved the initial drawback of computational expensiveness of Godunov-type schemes. In the present work we develop an Osher-type approximate Riemann solver for application in hydrodynamics. Actual computations are left to future research.
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© 2001 Springer Science+Business Media New York
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Van Brummelen, E.H., Koren, B. (2001). A Godunov-Type Method for Capturing Water Waves. In: Toro, E.F. (eds) Godunov Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-0663-8_89
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DOI: https://doi.org/10.1007/978-1-4615-0663-8_89
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-5183-2
Online ISBN: 978-1-4615-0663-8
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