Improvement and generalization of a finite element shallow-water solver to multi-layer systems

DOI<1037::AID-FLD909>3.0.CO;2-V 10.1002/(SICI)1097-0363(19991215)31:7<1037::AID-FLD909>3.0.CO;2-VzbMath0969.76045OpenAlexW2003164250MaRDI QIDQ4953101

C. Parés-Madroñal, Jorge Macías, Manuel J. Castro

Publication date: 1 October 2001

Full work available at URL: https://doi.org/10.1002/(sici)1097-0363(19991215)31:7<1037::aid-fld909>3.0.co;2-v

zbMATH Keywords

method of characteristicspreconditionerEuler implicit methodduality techniqueAlboran Seafirst-order Raviart-Thomas mixed finite elementmulti-layer shallow-water solver

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05) Finite element methods applied to problems in fluid mechanics (76M10) Stratification effects in inviscid fluids (76B70)

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On a non-homogeneous bi-layer shallow-water problem: smoothness and uniqueness results ⋮ A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography ⋮ Local martingale solutions to the stochastic two layer shallow water equations with multiplicative white noise ⋮ Coupling input-output analysis with multiobjective linear programming models for the study of economy-energy-environment-social (E3S) trade-offs: a review ⋮ Discontinuous Galerkin method for two-dimensional bilayer shallow water equations ⋮ An incomplete LU-based family of preconditioners for numerical resolution of a shallow water system using a duality method---applications ⋮ A new composite scheme for two-layer shallow water flows with shocks ⋮ A fully 3D finite element model for non-hydrostatic coastal flows with a free surface ⋮ Path-conservative central-upwind schemes for nonconservative hyperbolic systems ⋮ Finite-volume schemes for shallow-water equations ⋮ On a bi-layer shallow-water problem

Cites Work

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