A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry

Noelle S, Parisot M, Tscherpel T (2021)
arXiv:2106.05048.

Preprint | Englisch
 
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Autor*in
Noelle, Sebastian; Parisot, Martin; Tscherpel, TabeaUniBi
Abstract / Bemerkung
This work is devoted to the structure of the time-discrete Green-Naghdi equations including bathymetry. We use the projection structure of the equations to characterize homogeneous and inhomogeneous boundary conditions for which the semi-discrete equations are well-posed. This structure allows us to propose efficient and robust numerical treatment of the boundary conditions that ensures entropy stability of the scheme by construction. Numerical evidence is provided to illustrate that our approach is suitable for situations of practical interest that are not covered by existing theory.
Stichworte
shallow water flow; Green-Naghdi equations; dispersive equations; boundary con-ditions; prediction correction scheme; projection method; entropy satisfying scheme
Erscheinungsjahr
2021
Zeitschriftentitel
arXiv:2106.05048
Page URI
https://pub.uni-bielefeld.de/record/2955487

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Noelle S, Parisot M, Tscherpel T. A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry. arXiv:2106.05048. 2021.
Noelle, S., Parisot, M., & Tscherpel, T. (2021). A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry. arXiv:2106.05048
Noelle, S., Parisot, M., and Tscherpel, T. (2021). A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry. arXiv:2106.05048.
Noelle, S., Parisot, M., & Tscherpel, T., 2021. A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry. arXiv:2106.05048.
S. Noelle, M. Parisot, and T. Tscherpel, “A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry”, arXiv:2106.05048, 2021.
Noelle, S., Parisot, M., Tscherpel, T.: A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry. arXiv:2106.05048. (2021).
Noelle, Sebastian, Parisot, Martin, and Tscherpel, Tabea. “A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry”. arXiv:2106.05048 (2021).

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