Well-posed transparent boundary conditions for the shallow water equations

DOI10.1016/S0168-9274(01)00045-9zbMath1011.76059WikidataQ126622056 ScholiaQ126622056MaRDI QIDQ5946869

Ivar Lie

Publication date: 2 June 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

shallow water equationscharacteristic-based semi-Lagrange methodgeophysical modelsmixed finite element discretizationstaggered finite difference schemeswell-posed transparent boundary conditions

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) 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 (4)

A discontinuous Galerkin method for viscous compressible multifluids ⋮ Discontinuous Galerkin methods for plasma physics in the scrape-off layer of tokamaks ⋮ New absorbing layers conditions for short water waves ⋮ Transparent boundary conditions for the shallow water equations with a mixed finite element formulation

Cites Work

• Finite element approximation of the Navier-Stokes equations
• Approximation of pseudodifferential operators in absorbing boundary conditions for hyperbolic equations
• Existence, Uniqueness and Approximation for Generalized Saddle Point Problems
• Mixed and Hybrid Finite Element Methods
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Convergence Analysis for a Class of High-Order Semi-Lagrangian Advection Schemes
• Differentiability of Solutions to Hyperbolic Initial Boundary Value Problems
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