Mathematical and numerical modelling of shallow water flow

DOI10.1007/BF00350088zbMath0771.76032WikidataQ56996644 ScholiaQ56996644MaRDI QIDQ2367872

Fausto Saleri, Davide Ambrosi, Valery I. Agoshkov, Vincenzo Pennati, Alfio M. Quarteroni

Publication date: 16 August 1993

Published in: Computational Mechanics (Search for Journal in Brave)

zbMATH Keywords

weak formulationfractional step methodsadmissible boundary conditions

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 (12)

A compressible two-layer model for transient gas-liquid flows in pipes ⋮ Recent developments in the numerical simulation of shallow water equations. I: Boundary conditions ⋮ POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations ⋮ A new two-dimensional Shallow Water model including pressure effects and slow varying bottom topography ⋮ Finite element approximation of quasi-3D shallow water equations ⋮ THE WATER CONVEYANCE PROBLEM: OPTIMAL PURIFICATION OF POLLUTED WATERS ⋮ Convergence analysis of a space-time approximation to a two-dimensional system of shallow water equations ⋮ Model coupling techniques for free-surface flow problems. I. ⋮ A splitting method adapted to the simulation of mixed flows in pipes with a compressible two-layer model ⋮ Adaptive modeling for free-surface flows ⋮ On a non-homogeneous shallow-water problem ⋮ Application of coordinate transformations in numerical simulation of tsunami runup by the large particle method

Uses Software

• TELEMAC

Cites Work

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• Coupling of viscous and inviscid Stokes equations via a domain decomposition method for finite elements
• Semi-implicit finite difference methods for the two-dimensional shallow water equations
• Numerically induced oscillations in finite element approximations to the shallow water equations
• Domain Decomposition Methods for Systems of Conservation Laws: Spectral Collocation Approximations
• Shallow water problems: A general explicit formulation
• A fully implicit splitting method for accurate tidal computations
• Theoretical and Practical Aspects of Some Initial Boundary Value Problems in Fluid Dynamics
• Systems of conservation laws
• Initial boundary value problems for hyperbolic systems

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