The One Way Linearized Water Wave Equations
G. I. Jennings
Vol. 10 No. 2 (2015) P.259~P.281
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.
Water wave equation, absorbing boundary layer, artificial boundary, fractional derivative one way equation.
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35A22, 35B40, 35Q35, 76B15.
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Revised : 2015-04-28