The One Way Linearized Water Wave Equations
by G. I. Jennings   S. Karni   J. Rauch  

Vol. 10 No. 2 (2015) P.259~P.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.

KEYWORDS
Water wave equation, absorbing boundary layer, artificial boundary, fractional derivative one way equation.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35A22, 35B40, 35Q35, 76B15.

MILESTONES

Received: 2014-10-06
Revised : 2015-04-28
Accepted: 2015-04-13

Download Full Content