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Numerical study of a fourier approximation method for nonlinear gravity waves

✍ Scribed by G.N.R.K. Mahidhar; C. Srinivas; S.K. Bhattacharyya

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
571 KB
Volume
22
Category
Article
ISSN
0965-9978

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✦ Synopsis

A FORTRAN code for numerical evaluation of nonlinear gravity waves based on an established theory is given. For strongly nonlinear waves, an incremental-cumiterative approach has been implemented in the context of Newton-Raphson method applied to a large set of coupled nonlinear equations. The features of the scheme are studied. Several examples are presented to bring out the accuracy of the numerical scheme. The code is interactive and its routines can easily be integrated with any other program.

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In this paper, 2D steep gravity waves in shallow water are used to introduce and examine a new kind of numerical method for the solution of non-linear problems called the finite process method (FPM). On the basis of the velocity potential function and the FPM, a numerical method for 2D non-linear gr