On an open radiational boundary condition for weakly dispersive tsunami waves
type: Item
instance of: scholarly article
title: On an open radiational boundary condition for weakly dispersive tsunami waves
zbMATH Open document ID: 0655.65138
DOI: 10.1016/0021-9991(88)90146-5
author: S. H. Smith
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: The propagation of weakly dispersive tsunami waves is modelled using a solution of the two-dimensional governing equation in a limited domain. For the open lateral boundaries the radiational open boundary conditions (OBC) are derived by reducing the time derivative order of the governing equation. The OBC is a modification of the Sommerfeld condition. The numerical method is a finite difference scheme. The numerical results indicate that the model faithfully reproduces the weak dispersion effects but not the effects of bottom topography.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 86A10
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4070257
zbMATH Keywords: wave propagation
zbMATH Keywords: numerical examples
zbMATH Keywords: Boussinesq equation
zbMATH Keywords: Airy dispersion
zbMATH Keywords: Poincaré dispersion
zbMATH Keywords: nonlinear dispersion
zbMATH Keywords: reflection
zbMATH Keywords: refraction
zbMATH Keywords: diffraction
zbMATH Keywords: weakly dispersive tsunami waves
zbMATH Keywords: open boundary conditions
zbMATH Keywords: Sommerfeld condition
zbMATH Keywords: finite difference scheme
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90146-5
OpenAlex ID: W2003435629
cites work: A simple boundary condition for unbounded hyperbolic flows
cites work: Open boundary conditions in rotating fluids
description: scientific article; zbMATH DE number 4070257