2D well-balanced augmented ADER schemes for the shallow water equations with bed elevation and extension to the rotating frame
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Publication:2000438
DOI10.1016/j.jcp.2018.06.039zbMath1415.76476OpenAlexW2808883223WikidataQ129683919 ScholiaQ129683919MaRDI QIDQ2000438
Publication date: 28 June 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: http://zaguan.unizar.es/record/79544
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Initial-boundary value problems for first-order hyperbolic systems (35L50)
Related Items (12)
An augmented HLLEM ADER numerical model parallel on GPU for the porous shallow water equations ⋮ Finite Volume Models and Efficient Simulation Tools (EST) for Shallow Flows ⋮ A well-balanced ADER discontinuous Galerkin method based on differential transformation procedure for shallow water equations ⋮ Analysis of dissipation operators that damp spurious modes while maintaining discrete approximate geostrophic equilibriums for the B-grid staggered scheme on triangular meshes ⋮ Formulation of exactly balanced solvers for blood flow in elastic vessels and their application to collapsed states ⋮ A well-balanced positivity-preserving multidimensional central scheme for shallow water equations ⋮ Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations ⋮ The entropy fix in augmented Riemann solvers in presence of source terms: application to the shallow water equations ⋮ Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: global flux quadrature and cell entropy correction ⋮ A mass conservative, well balanced and positivity-preserving central scheme for shallow water equations ⋮ Depth-averaged unsteady RANS simulation of resonant shallow flows in lateral cavities using augmented WENO-ADER schemes ⋮ Extension of a Roe-type Riemann solver scheme to model non-hydrostatic pressure shallow flows
Uses Software
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