On an open radiational boundary condition for weakly dispersive tsunami waves (Q1109545)
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scientific article; zbMATH DE number 4070257
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an open radiational boundary condition for weakly dispersive tsunami waves |
scientific article; zbMATH DE number 4070257 |
Statements
On an open radiational boundary condition for weakly dispersive tsunami waves (English)
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1988
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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.
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wave propagation
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numerical examples
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Boussinesq equation
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Airy dispersion
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Poincaré dispersion
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nonlinear dispersion
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reflection
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refraction
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diffraction
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weakly dispersive tsunami waves
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open boundary conditions
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Sommerfeld condition
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finite difference scheme
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