An accuracy analysis of boundary conditions for the forced shallow water equations

DOI10.1016/0021-9991(86)90037-9zbMath0608.76014OpenAlexW2104731139MaRDI QIDQ1086060

M. G. G. Foreman

Publication date: 1986

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90037-9

zbMATH Keywords

one-dimensional shallow water equationsnumerical boundary conditionsGalerkin finite elementAccuracyBox schemedriving/radiating boundariesforced initial boundary value problemslinear bottom frictionlinear spatial extrapolationNumerical modelRichardson-Sielecki schemespace-time extrapolations

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Applications to the sciences (65Z05) Basic methods in fluid mechanics (76M99)

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Cites Work

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• An analysis of two-step time discretizations in the solution of the linearized shallow water equations
• Analysis of spurious oscillation modes for the shallow water and Navier- Stokes equations
• Open boundary conditions in rotating fluids
• Boundary conditions for time dependent problems with an artificial boundary
• Propagation properties of semi-discretizations of hyperbolic equations
• Some response characteristics of finite-element tidal models
• Richardson-Sielecki schemes for the shallow-water equations, with applications to Kelvin waves
• Stability analysis of numerical boundary conditions and implicit difference approximations for hyperbolic equations
• The choice of numerical boundary conditions for hyperbolic systems
• Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundstroem
• Boundary conditions for multistep finite-difference methods for time- dependent equations
• A simple boundary condition for unbounded hyperbolic flows
• Boundary conditions in finite difference fluid dynamic codes
• Numerically induced oscillations in finite element approximations to the shallow water equations
• Instability of difference models for hyperbolic initial boundary value problems
• Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
• On boundary conditions for the numerical solution of hyperbolic differential equations
• On Numerical Boundary Treatment of Hyperbolic Systems for Finite Difference and Finite Element Methods
• Absorbing Boundary Conditions for the Discretization Schemes of the One-Dimensional Wave Equation
• Boundary Approximations for Implicit Schemes for One-Dimensional Inviscid Equations of Gasdynamics
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
• The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• On the Stability of Galerkin Methods for Initial-Boundary Value Problems for Hyperbolic Systems
• Error Analysis of Finite Difference Schemes Applied to Hyperbolic Initial Boundary Value Problems
• Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions
• Initial boundary value problems for hyperbolic systems