Application of high‐order Higdon non‐reflecting boundary conditions to linear shallow water models

DOI10.1002/cnm.1044zbMath1153.76047OpenAlexW2008268898MaRDI QIDQ5302285

John R. Dea, Dan Givoli, Beny Neta, V. Van Joolen

Publication date: 6 January 2009

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1044

zbMATH Keywords

artificial boundariessemi-infinite channeldispersive wave equation

Mathematics Subject Classification ID

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

Related Items

Klein-Gordon equation with advection on unbounded domains using spectral elements and high-order non-reflecting boundary conditions ⋮ An experimental adaptation of Higdon-type non-reflecting boundary conditions to linear first-order systems ⋮ High-order non-reflecting boundary conditions for dispersive waves in polar coordinates using spectral elements ⋮ Improving the performance of Higdon non-reflecting boundary conditions by using weighted differencing ⋮ A Higdon-like non-reflecting boundary condition for the Klein-Gordon equation with evanescent waves ⋮ High-order non-reflecting boundary conditions for the linearized 2-D Euler equations: no mean flow case ⋮ High-order adjustable boundary condition for absorbing evanescent modes of waveguides and its application in coupled fluid-structure analysis ⋮ An extension of DG methods for hyperbolic problems to one-dimensional semi-infinite domains ⋮ On the stability of the high-order Higdon absorbing boundary conditions

Cites Work

• Unnamed Item
• Absorbing boundary conditions for acoustic and elastic waves in stratified media
• A simple boundary condition for unbounded hyperbolic flows
• Numerical solution of problems on unbounded domains. A review
• A formulation of asymptotic and exact boundary conditions using local operators
• Open boundary conditions for obliquely propagating nonlinear shallow-water waves in a wave channel
• High-order non-reflecting boundary scheme for time-dependent waves
• Finite element formulation with high-order absorbing boundary conditions for time-dependent waves
• High-order non-reflecting boundary conditions for dispersive waves
• High-order local non-reflecting boundary conditions: a review
• A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems
• Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation
• Numerical Absorbing Boundary Conditions for the Wave Equation
• Radiation Boundary Conditions for Dispersive Waves
• Exact Nonreflecting Boundary Conditions for the Time Dependent Wave Equation