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Weakly-Reflective Boundary Conditions for Shallow Water Equations

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Research in Numerical Fluid mechanics

Part of the book series: Notes on Numerical Fluid Mechanics ((NNFM,volume 17))

Summary

In this paper weakly-reflective boundary conditions are presented for the one- and two-dimensional shallow water equations. After a short discussion on the necessity of this type of boundary conditions the mathematical formulation of the problem is given together with the essential aspects of the derivation. The numerical implementation of these conditions in finite element and finite difference codes is considered and results are given for some applications.

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References

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Pieter Wesseling

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© 1987 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Verboom, G.K., Segal, A. (1987). Weakly-Reflective Boundary Conditions for Shallow Water Equations. In: Wesseling, P. (eds) Research in Numerical Fluid mechanics. Notes on Numerical Fluid Mechanics, vol 17. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-89729-9_9

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  • DOI: https://doi.org/10.1007/978-3-322-89729-9_9

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-08090-7

  • Online ISBN: 978-3-322-89729-9

  • eBook Packages: Springer Book Archive

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