LINEAR THEORY OF IMPULSIVELY GENERATED WATER WAVES ON A HORIZONTAL BOTTOM

2020 ◽  
Vol 218 ◽  
pp. 108159
Author(s):  
Guohai Dong ◽  
Xiang Gao ◽  
Xiaozhou Ma ◽  
Yuxiang Ma

Author(s):  
David Henry

Surface tension plays a significant role as a restoration force in the setting of small-amplitude waves, leading to pure capillary and gravity-capillary waves. We show that within the framework of linear theory, the particle paths in a periodic gravity–capillary or pure capillary wave propagating at the surface of water over a flat bed are not closed.


Author(s):  
Adrian Constantin ◽  
Pierre Germain

Within the framework of linear theory, applicable far from the shore, we investigate the two-dimensional propagation of waves generated in the ocean by a sudden seabed deformation.


1995 ◽  
Vol 305 ◽  
pp. 263-279 ◽  
Author(s):  
M. Fernyhough ◽  
D. V. Evans

Scattering properties of an incident field upon a periodic array of identical rectangular barriers, each extending throughout the water depth, are calculated based on a Galerkin approximation to an integral representation of the problem derived using the linear theory of water waves. The method incorporates full multi-modal scattring using the linear theory of water waves. The method incorporates full multi-modal scattering using a matrix formulation and is equivalent to a corresponding two-dimensional acoustics problem also discussed.


1995 ◽  
Vol 297 ◽  
pp. 307-325 ◽  
Author(s):  
D. V. Evans ◽  
M. Fernyhough

Numerical evidence of the existence of edge waves travelling along a periodic coastline consisting of a straight and vertical cliff face from which protrudes an infinite number of identical rectangular barriers, each extending throughout the water depth, is given based on a Galerkin approximation to an integral representation of the problem derived using the linear theory of water waves.


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