A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry
Noelle S, Parisot M, Tscherpel T (2022)
SIAM Journal on Numerical Analysis 60(5): 2681-2712.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Noelle, Sebastian;
Parisot, Martin;
Tscherpel, TabeaUniBi 
Einrichtung
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 semidiscrete 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 conditions;
prediction correction scheme;
projection method;
entropy satisfying scheme
Erscheinungsjahr
2022
Zeitschriftentitel
SIAM Journal on Numerical Analysis
Band
60
Ausgabe
5
Seite(n)
2681-2712
ISSN
0036-1429
eISSN
1095-7170
Page URI
https://pub.uni-bielefeld.de/record/2966015
Zitieren
Noelle S, Parisot M, Tscherpel T. A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry. SIAM Journal on Numerical Analysis. 2022;60(5):2681-2712.
Noelle, S., Parisot, M., & Tscherpel, T. (2022). A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry. SIAM Journal on Numerical Analysis, 60(5), 2681-2712. https://doi.org/10.1137/21M1426031
Noelle, Sebastian, Parisot, Martin, and Tscherpel, Tabea. 2022. “A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry”. SIAM Journal on Numerical Analysis 60 (5): 2681-2712.
Noelle, S., Parisot, M., and Tscherpel, T. (2022). A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry. SIAM Journal on Numerical Analysis 60, 2681-2712.
Noelle, S., Parisot, M., & Tscherpel, T., 2022. A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry. SIAM Journal on Numerical Analysis, 60(5), p 2681-2712.
S. Noelle, M. Parisot, and T. Tscherpel, “A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry”, SIAM Journal on Numerical Analysis, vol. 60, 2022, pp. 2681-2712.
Noelle, S., Parisot, M., Tscherpel, T.: A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry. SIAM Journal on Numerical Analysis. 60, 2681-2712 (2022).
Noelle, Sebastian, Parisot, Martin, and Tscherpel, Tabea. “A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry”. SIAM Journal on Numerical Analysis 60.5 (2022): 2681-2712.
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arXiv: 2106.05048
Preprint: 10.48550/arXiv.2106.05048
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