NDLI: Numerical modeling of 3D fully nonlinear potential periodic waves

Content Provider	Springer Nature Link
Author	Chalikov, Dmitry Babanin, Alexander V. Sanina, Elena
Copyright Year	2014
Abstract	A simple and exact numerical scheme for long-term simulations of 3D potential fully nonlinear periodic gravity waves is suggested. The scheme is based on the surface-following nonorthogonal curvilinear coordinate system. Velocity potential is represented as a sum of analytical and nonlinear components. The Poisson equation for the nonlinear component of velocity potential is solved iteratively. Fourier transform method, the second-order accuracy approximation of vertical derivatives on a stretched vertical grid and the fourth-order Runge–Kutta time stepping are used. The scheme is validated by simulation of steep Stokes waves. A one-processor version of the model for PC allows us to simulate evolution of a wave field with thousands degrees of freedom for hundreds of wave periods. The scheme is designed for investigation of nonlinear 2D surface waves, generation of extreme waves, and direct calculations of nonlinear interactions.
Starting Page	1469
Ending Page	1486
Page Count	18
File Format	PDF
ISSN	16167341
Journal	Deutsche Hydrografische Zeitschrift
Volume Number	64
Issue Number	10
e-ISSN	16167228
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-08-17
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Numerical modeling Stokes waves 3D nonlinear surface waves McLean instability Nonlinear interaction Hasselmann integral Oceanography Geophysics/Geodesy Atmospheric Sciences Fluid- and Aerodynamics Environmental Monitoring/Analysis
Content Type	Text
Resource Type	Article
Subject	Oceanography

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