Absorbing boundary conditions for free surface waves

J.E. Romate

doi:10.1016/0021-9991(92)90281-3

Absorbing boundary conditions for free surface waves

J.E. Romate

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Abstract

In this paper the use of absorbing boundary conditions is investigated for the numerical simulation of gravity waves on an incompressible, inviscid fluid in three dimensions. A review of existing methods is given for linear and nonlinear waves, after which first- and second-order partial differential equations are introduced as absorbing boundary conditions for the linearized model. Well-posedness is investigated and it is shown that the reflection properties of the second-order equation are superior to those of the first-order equation.

Original language	English
Pages (from-to)	135-145
Number of pages	11
Journal	Journal of computational physics
Volume	99
Issue number	1
DOIs	https://doi.org/10.1016/0021-9991(92)90281-3
Publication status	Published - 1992

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title = "Absorbing boundary conditions for free surface waves",

abstract = "In this paper the use of absorbing boundary conditions is investigated for the numerical simulation of gravity waves on an incompressible, inviscid fluid in three dimensions. A review of existing methods is given for linear and nonlinear waves, after which first- and second-order partial differential equations are introduced as absorbing boundary conditions for the linearized model. Well-posedness is investigated and it is shown that the reflection properties of the second-order equation are superior to those of the first-order equation.",

author = "J.E. Romate",

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T1 - Absorbing boundary conditions for free surface waves

AU - Romate, J.E.

PY - 1992

Y1 - 1992

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AB - In this paper the use of absorbing boundary conditions is investigated for the numerical simulation of gravity waves on an incompressible, inviscid fluid in three dimensions. A review of existing methods is given for linear and nonlinear waves, after which first- and second-order partial differential equations are introduced as absorbing boundary conditions for the linearized model. Well-posedness is investigated and it is shown that the reflection properties of the second-order equation are superior to those of the first-order equation.

U2 - 10.1016/0021-9991(92)90281-3

DO - 10.1016/0021-9991(92)90281-3

M3 - Article

SN - 0021-9991

VL - 99

SP - 135

EP - 145

JO - Journal of computational physics

JF - Journal of computational physics

IS - 1

ER -

Absorbing boundary conditions for free surface waves

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