Finite-element simulation of the shallow-water equations model on a limited-area domain

DOI10.1016/S0307-904X(79)80040-2zbMath0438.76017MaRDI QIDQ1142105

I. Michael Navon

Publication date: 1979

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

simulationshallow-waterCrank-Nicolson methodlumped massconsistent massgeneralized mixed masslimited-area domain

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (12)

\textit{A posteriori} finite-volume local subcell correction of high-order discontinuous Galerkin schemes for the nonlinear shallow-water equations ⋮ The numerical simulations based on the NND finite difference scheme for shallow water wave equations including sediment concentration ⋮ The independent set perturbation method for efficient computation of sensitivities with applications to data assimilation and a finite element shallow water model ⋮ A Numerov-Galerkin technique applied to a finite-element shallow-water equations model with enforced conservation of integral invariants and selective lumping ⋮ Input disturbance predictive control of shallow water flows ⋮ Application of a limiterless quasi acoustic scheme to solve two-dimensional shallow water equations with an uneven bottom ⋮ Finite-element schemes for extended integrations of atmospheric models ⋮ Solution of the shallow water equations using hybrid grids ⋮ A dual-weighted trust-region adaptive POD 4D-VAR applied to a finite-element shallow-water equations model ⋮ A FIC-FEM procedure for the shallow water equations over partially wet domains ⋮ Domain decomposition and parallel processing of a finite element model of the shallow water equations ⋮ Reduced-order finite difference extrapolation model based on proper orthogonal decomposition for two-dimensional shallow water equations including sediment concentration

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