Numerical modeling of 3D fully nonlinear potential periodic waves

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 componen...

Full description

Saved in:
Bibliographic Details
Published in:Ocean dynamics 2014-10, Vol.64 (10), p.1469-1486
Main Authors: Chalikov, Dmitry, Babanin, Alexander V., Sanina, Elena
Format: Article
Language:English
Subjects:
2013
Alberta
Atmospheric Sciences
Canada October 27 - November 1
Earth and Environmental Science
Earth Sciences
Fluid mechanics
Fluid- and Aerodynamics
Fourier transforms
Geophysics/Geodesy
Gravity
Gravity waves
Mathematical models
Monitoring/Environmental Analysis
Oceanography
Propagation
Topical Collection on the 13th International Workshop on Wave Hindcasting and Forecasting in Banff
Velocity potential
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1616-7341
1616-7228
DOI:10.1007/s10236-014-0755-0