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2015 / June Volume 10 No.2
The One Way Linearized Water Wave Equations
Published Date
2015 / June
Title
The One Way Linearized Water Wave Equations
Author
G. I. Jennings, S. Karni, J. Rauch
Keyword
Water wave equation, absorbing boundary layer, artificial boundary, fractional derivative one way equation.
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Pagination
259-281
Abstract
In analogy with D’Alembert’s analysis of the one dimensional wave equation, the solutions of the linearized equations describing the perturbations of the 1d horizontal interface between 2d water and air are sums of rightward and leftward moving waves. This paper introduces and analyses the qualitative behavior of the corresponding one way equations. The one way equations are the core elements in an efficient numerical algorithm.
AMS Subject
Classification
35A22, 35B40, 35Q35, 76B15.
Received
2015-04-28
Accepted
2015-04-13
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