Computational models for weakly dispersive nonlinear water waves

DOI10.1016/S0045-7825(98)00293-XzbMath0952.76059WikidataQ127372928 ScholiaQ127372928MaRDI QIDQ1818049

Hans Petter Langtangen, Geir Pedersen

Publication date: 11 January 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

Boussinesq equationsfinite difference temporal discretizationfinite element discretization in spaceincoming wavesbathymetry-adapted finite element gridscurved beachearthquake-induced wavesiterative solution of linear systemstanding waves in closed basin with constant depthweakly nonlinear dispersive water waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Instabilities of Boussinesq models in non-uniform depth, Energy conservation and physical optics for discrete long wave equations, Nodal DG-FEM solution of high-order Boussinesq-type equations, Finite element approximation of the modified Boussinesq equations using a stabilized formulation, A predictor-corrector scheme for the numerical solution of the Boussinesq equation, Discontinuous Galerkin spectral/\(hp\) element modelling of dispersive shallow water systems, A global extrapolated procedure for the Boussinesq equation, An optical theory for discrete media., A high-order Petrov-Galerkin finite element method for the classical Boussinesq wave model, Modeling fully nonlinear shallow-water waves and their interactions with cylindrical structures, Finite element approximation of the hyperbolic wave equation in mixed form, Spectral/\(hp\) discontinuous Galerkin methods for modelling 2D Boussinesq equations

Uses Software

• GEOMPACK

Cites Work

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