SIAM Journal on Scientific Computing
Three-dimensional gravity and gravity-capillary interfacial flows
Mathematics and Computers in Simulation
A High-Order Spectral Method for Nonlinear Water Waves over Moving Bottom Topography
SIAM Journal on Scientific Computing
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Abstract: A weakly nonlinear model is used to study capillary-gravity waves generated by a traveling localized surface pressure distribution. The weakly nonlinear model is a truncation of the potential flow equations in deep water, and includes cubic nonlinear terms. Numerically, solitary waves are shown to be generated by a near-monochromatic, subcritical forcing. The presence of these solitary waves is predicted using a forced nonlinear Schrodinger equation.