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On an improvement of a nonlinear iterative scheme for nonlinear wave profile prediction

✍ Scribed by T.S. Jang; S.H. Kwon; B.J. Kim

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
591 KB
Volume
33
Category
Article
ISSN
0029-8018

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✦ Synopsis

The authors of the present paper present an iterative scheme to calculate the nonlinear wave profiles [Jang, T.S., Kwon, S.H., 2005. Application of nonlinear iteration scheme to the nonlinear water wave problem: Stokian wave. Ocean Engineering, in press]. The nonlinear operator was constructed from the dynamic boundary condition of the free surface. The initial input of the iterative process was linear potential. The linear dispersion relation was utilized. The authors of the present paper suggest an improved scheme in terms of accuracy and speed of convergence by utilizing the nonlinear dispersion relation. The existence and uniqueness of the improved scheme are illustrated in this paper. The calculation results together with Fast Fourier transform revealed that the improved scheme made it possible to predict higher-order nonlinear characteristics of the Stokes' wave.

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