On the dispersion relation of nonlinear wave current interaction by means of the HAM

2012 ◽  
Author(s):  
Zeng Liu ◽  
Zhiliang Lin ◽  
Shijun Liao
Keyword(s):  
Dispersion Relation ◽  
Nonlinear Wave ◽  
Current Interaction

scholarly journals Extended Elliptic Mild Slope Equation Incorporating the Nonlinear Shoaling Effect

2016 ◽  
Vol 23 (s1) ◽  
pp. 44-51 ◽  
Author(s):  
Qian-lu Xiao ◽  
Chun-hui Li ◽  
Xiao-yan Fu ◽  
Mei-ju Wang
Keyword(s):  
Dispersion Relation ◽  
Nonlinear Wave ◽  
Surf Zone ◽  
Wave Dispersion ◽  
Structure Design ◽  
Coastal Engineering ◽  
Wave Transformation ◽  
Flume Experiments ◽  
Mild Slope Equation ◽  
Wave Shoaling

Abstract The transformation during wave propagation is significantly important for the calculations of hydraulic and coastal engineering, as well as the sediment transport. The exact wave height deformation calculation on the coasts is essential to near-shore hydrodynamics research and the structure design of coastal engineering. According to the wave shoaling results gained from the elliptical cosine wave theory, the nonlinear wave dispersion relation is adopted to develop the expression of the corresponding nonlinear wave shoaling coefficient. Based on the extended elliptic mild slope equation, an efficient wave numerical model is presented in this paper for predicting wave deformation across the complex topography and the surf zone, incorporating the nonlinear wave dispersion relation, the nonlinear wave shoaling coefficient and other energy dissipation factors. Especially, the phenomenon of wave recovery and second breaking could be shown by the present model. The classical Berkhoff single elliptic topography wave tests, the sinusoidal varying topography experiment, and complex composite slopes wave flume experiments are applied to verify the accuracy of the calculation of wave heights. Compared with experimental data, good agreements are found upon single elliptical topography and one-dimensional beach profiles, including uniform slope and step-type profiles. The results indicate that the newly-developed nonlinear wave shoaling coefficient improves the calculated accuracy of wave transformation in the surf zone efficiently, and the wave breaking is the key factor affecting the wave characteristics and need to be considered in the nearshore wave simulations.

scholarly journals Nonlinear Wave–Current Interaction in Water of Finite Depth

2016 ◽  
Vol 142 (6) ◽  
pp. 04016009 ◽  
Author(s):  
Zhen Liu ◽  
Zhiliang Lin ◽  
Longbin Tao ◽  
Jian Lan
Keyword(s):  
Nonlinear Wave ◽  
Finite Depth ◽  
Current Interaction

scholarly journals Nonlinear Wave Evolution in Interaction with Currents and Viscoleastic Muds

2021 ◽  
Vol 9 (5) ◽  
pp. 529
Author(s):  
Elham Sharifineyestani ◽  
Navid Tahvildari
Keyword(s):  
Surface Wave ◽  
Nonlinear Wave ◽  
Laboratory Data ◽  
Domain Model ◽  
Random Wave ◽  
Random Waves ◽  
Wave Interactions ◽  
Wave Damping ◽  
Surface Wave Propagation ◽  
Current Interaction

A numerical model is extended to investigate the nonlinear dynamics of surface wave propagation over mud in the presence of currents. A phase-resolving frequency-domain model for wave-current interaction is improved to account for wave modulations due to viscoelastic mud of arbitrary thickness. The model compares well with published laboratory data and performs slightly better than the model with viscous mud-induced wave damping mechanism. Monochromatic and random wave simulations are conducted to examine the combined effect of currents, mud-induced wave dissipation and modulation, and nonlinear wave-wave interactions on surface wave spectra. Results indicate that current effects on wave damping over viscoelastic mud is not as straightforward as that over viscous mud. For example, while opposing currents consistently increase damping of random waves over viscous mud, they can decrease damping over viscoelastic mud due to high variations in frequency-dependent damping stemming from mud’s elasticity. It is shown that a model that assumes the mud layer to be thin for simplification can overestimate wave damping over thick mud layers.

Nonlinear Wave Dynamics in the Surf Zone

1997 ◽  
Author(s):  
O. R. Sørensen ◽  
P. A. Madsen ◽  
H. A. Schäffer
Keyword(s):  
Nonlinear Wave ◽  
Surf Zone ◽  
Wave Dynamics

Solitons and collapses: two evolution scenarios of nonlinear wave systems

2012 ◽  
Vol 182 (6) ◽  
pp. 569 ◽  
Author(s):  
Vladimir E. Zakharov ◽  
Evgenii A. Kuznetsov
Keyword(s):  
Nonlinear Wave
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