Kissami, Imad; Seaid, Mohammed; Benkhaldoun, Fayssal Numerical assessment of criteria for mesh adaptation in the finite volume solution of shallow water equations. (English) Zbl 1488.65343 Adv. Appl. Math. Mech. 12, No. 2, 503-526 (2020). MSC: 65M08 65L05 65N08 65N50 35L53 76B15 74J40 76B07 PDFBibTeX XMLCite \textit{I. Kissami} et al., Adv. Appl. Math. Mech. 12, No. 2, 503--526 (2020; Zbl 1488.65343) Full Text: DOI
Ginting, Bobby Minola; Ginting, Herli Extension of artificial viscosity technique for solving 2D non-hydrostatic shallow water equations. (English) Zbl 1473.76040 Eur. J. Mech., B, Fluids 80, 92-111 (2020). MSC: 76M12 76M20 76B15 PDFBibTeX XMLCite \textit{B. M. Ginting} and \textit{H. Ginting}, Eur. J. Mech., B, Fluids 80, 92--111 (2020; Zbl 1473.76040) Full Text: DOI
Brus, S. R.; Wirasaet, D.; Kubatko, E. J.; Westerink, J. J.; Dawson, C. High-order discontinuous Galerkin methods for coastal hydrodynamics applications. (English) Zbl 1441.76054 Comput. Methods Appl. Mech. Eng. 355, 860-899 (2019). MSC: 76M10 65M60 76B15 76D33 86A05 PDFBibTeX XMLCite \textit{S. R. Brus} et al., Comput. Methods Appl. Mech. Eng. 355, 860--899 (2019; Zbl 1441.76054) Full Text: DOI
Khakimzyanov, Gayaz; Dutykh, Denys; Gusev, Oleg; Shokina, Nina Yu. Dispersive shallow water wave modelling. II: Numerical simulation on a globally flat space. (English) Zbl 1488.76020 Commun. Comput. Phys. 23, No. 1, 30-92 (2018). MSC: 76B15 76M12 65N08 65N06 PDFBibTeX XMLCite \textit{G. Khakimzyanov} et al., Commun. Comput. Phys. 23, No. 1, 30--92 (2018; Zbl 1488.76020) Full Text: DOI arXiv
Didenkulova, I. I.; Pelinovsky, E. N.; Rodin, A. A. Long wave run-up on plane and “non-reflecting” slopes. (English. Russian original) Zbl 1402.76026 Fluid Dyn. 53, No. 3, 402-408 (2018); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2018, No. 3, 71-77 (2018). MSC: 76B15 76M12 PDFBibTeX XMLCite \textit{I. I. Didenkulova} et al., Fluid Dyn. 53, No. 3, 402--408 (2018; Zbl 1402.76026); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2018, No. 3, 71--77 (2018) Full Text: DOI
Schreiber, Martin; Neckel, Tobias; Bungartz, Hans-Joachim Evaluation of an efficient stack-RLE clustering concept for dynamically adaptive grids. (English) Zbl 1355.65127 SIAM J. Sci. Comput. 38, No. 6, C678-C712 (2016). MSC: 65M50 65Y05 65M08 76B15 76M12 PDFBibTeX XMLCite \textit{M. Schreiber} et al., SIAM J. Sci. Comput. 38, No. 6, C678--C712 (2016; Zbl 1355.65127) Full Text: DOI
Shokin, Yurii I.; Rychkov, Alexander D.; Khakimzyanov, Gayaz S.; Chubarov, Leonid B. A combined computational algorithm for solving the problem of long surface waves runup on the shore. (English) Zbl 1346.76152 Russ. J. Numer. Anal. Math. Model. 31, No. 4, 217-227 (2016). MSC: 76M25 PDFBibTeX XMLCite \textit{Y. I. Shokin} et al., Russ. J. Numer. Anal. Math. Model. 31, No. 4, 217--227 (2016; Zbl 1346.76152) Full Text: DOI
Neumann, Philipp; Bungartz, Hans-Joachim Dynamically adaptive lattice Boltzmann simulation of shallow water flows with the Peano framework. (English) Zbl 1410.76372 Appl. Math. Comput. 267, 795-804 (2015). MSC: 76M28 76B15 PDFBibTeX XMLCite \textit{P. Neumann} and \textit{H.-J. Bungartz}, Appl. Math. Comput. 267, 795--804 (2015; Zbl 1410.76372) Full Text: DOI
Popinet, Stéphane A quadtree-adaptive multigrid solver for the Serre-Green-Naghdi equations. (English) Zbl 1349.76377 J. Comput. Phys. 302, 336-358 (2015). MSC: 76M12 65M08 65M55 76B15 PDFBibTeX XMLCite \textit{S. Popinet}, J. Comput. Phys. 302, 336--358 (2015; Zbl 1349.76377) Full Text: DOI
Sætra, Martin L.; Brodtkorb, André R.; Lie, Knut-Andreas Efficient GPU-implementation of adaptive mesh refinement for the shallow-water equations. (English) Zbl 1330.76088 J. Sci. Comput. 63, No. 1, 23-48 (2015). MSC: 76M12 65M08 76B15 35L65 65M50 65Y10 68N19 PDFBibTeX XMLCite \textit{M. L. Sætra} et al., J. Sci. Comput. 63, No. 1, 23--48 (2015; Zbl 1330.76088) Full Text: DOI
Donat, Rosa; Martí, M. Carmen; Martínez-Gavara, Anna; Mulet, Pep Well-balanced adaptive mesh refinement for shallow water flows. (English) Zbl 1349.76454 J. Comput. Phys. 257, Part A, 937-953 (2014). MSC: 76M20 65M06 65M50 76B15 PDFBibTeX XMLCite \textit{R. Donat} et al., J. Comput. Phys. 257, Part A, 937--953 (2014; Zbl 1349.76454) Full Text: DOI
Higdon, Robert L. Pressure forcing and dispersion analysis for discontinuous Galerkin approximations to oceanic fluid flows. (English) Zbl 1426.76539 J. Comput. Phys. 249, 36-66 (2013). MSC: 76M25 76B15 86A05 PDFBibTeX XMLCite \textit{R. L. Higdon}, J. Comput. Phys. 249, 36--66 (2013; Zbl 1426.76539) Full Text: DOI
Dawson, Clint; Trahan, Corey Jason; Kubatko, Ethan J.; Westerink, Joannes J. A parallel local timestepping Runge-Kutta discontinuous Galerkin method with applications to coastal Ocean modeling. (English) Zbl 1286.86008 Comput. Methods Appl. Mech. Eng. 259, 154-165 (2013). MSC: 86A05 86-08 76M10 65M60 76B15 PDFBibTeX XMLCite \textit{C. Dawson} et al., Comput. Methods Appl. Mech. Eng. 259, 154--165 (2013; Zbl 1286.86008) Full Text: DOI
LeVeque, Randall J.; George, David L.; Berger, Marsha J. Tsunami modelling with adaptively refined finite volume methods. (English) Zbl 1426.76394 Acta Numerica 20, 211-289 (2011). MSC: 76M12 76B15 86A05 PDFBibTeX XMLCite \textit{R. J. LeVeque} et al., Acta Numerica 20, 211--289 (2011; Zbl 1426.76394) Full Text: DOI
George, D. L. Adaptive finite volume methods with well-balanced Riemann solvers for modeling floods in rugged terrain: application to the Malpasset dam-break flood (France, 1959). (English) Zbl 1285.76023 Int. J. Numer. Methods Fluids 66, No. 8, 1000-1018 (2011). MSC: 76M12 76B15 65M08 86-08 PDFBibTeX XMLCite \textit{D. L. George}, Int. J. Numer. Methods Fluids 66, No. 8, 1000--1018 (2011; Zbl 1285.76023) Full Text: DOI