scholarly journals Hamiltonian Finite Element Discretization for Nonlinear Free Surface Water Waves

2017 ◽  
Vol 73 (1) ◽  
pp. 366-394 ◽  
Author(s):  
Freekjan Brink ◽  
Ferenc Izsák ◽  
J. J. W. van der Vegt
Keyword(s):  
Finite Element ◽  
Free Surface ◽  
Surface Water ◽  
Water Waves ◽  
Finite Element Discretization ◽  
Element Discretization ◽  
Surface Water Waves ◽  
Nonlinear Free Surface

Variational space–time (dis)continuous Galerkin method for nonlinear free surface water waves

2014 ◽  
Vol 275 ◽  
pp. 459-483 ◽  
Author(s):  
E. Gagarina ◽  
V.R. Ambati ◽  
J.J.W. van der Vegt ◽  
O. Bokhove
Keyword(s):  
Free Surface ◽  
Surface Water ◽  
Galerkin Method ◽  
Water Waves ◽  
Space Time ◽  
Continuous Galerkin ◽  
Surface Water Waves ◽  
Nonlinear Free Surface

scholarly journals Surface water waves due to an oscillatory wavemaker in the presence of surface tension

1992 ◽  
Vol 15 (2) ◽  
pp. 399-404
Author(s):  
B. N. Mandal ◽  
S. Banerjea
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Surface Water ◽  
Water Waves ◽  
Phase Method ◽  
Stationary Phase Method ◽  
Transient Component ◽  
Surface Water Waves ◽  
Qualitative Nature ◽  
Surface Depression

The initial value problem of generation of surface water waves by a harmonically oscillating plane vertical wavemaker in an infinite incompressible fluid under the action of gravity and surface tension is investigated. In the asymptotic evaluation of the free surface depression for large time and distance, the contribution to the integral by stationary phase method gives rise to transient component of the free surface depression while the contribution from the poles give rise to steady state component. It is observed that the presence of surface tension sometimes changes the qualitative nature of the transient component of free surface depression.

scholarly journals An absorbing boundary condition for free surface water waves

2017 ◽  
Vol 156 ◽  
pp. 562-578 ◽  
Author(s):  
B. Düz ◽  
M.J.A. Borsboom ◽  
A.E.P. Veldman ◽  
P.R. Wellens ◽  
R.H.M. Huijsmans
Keyword(s):  
Boundary Condition ◽  
Free Surface ◽  
Surface Water ◽  
Water Waves ◽  
Absorbing Boundary Condition ◽  
Absorbing Boundary ◽  
Surface Water Waves

Numerical Study for Water Waves Generated by Debris Flow

2013 ◽  
Vol 671-674 ◽  
pp. 388-392
Author(s):  
Rui Jin Zhang ◽  
Hong Yue Sun ◽  
Hong Zhan Zhang ◽  
Hosoyamada Tokuzo
Keyword(s):  
Free Surface ◽  
Surface Water ◽  
Debris Flow ◽  
Water Waves ◽  
Water Wave ◽  
Numerical Study ◽  
Human Life ◽  
Shallow Water Approximation ◽  
Surface Water Waves ◽  
Run Up

Earthquake or rainfall can arouse landslide, which will cause debris flow. Free surface water waves generated by plunging of debris flow cause devastating damage on human life. In this study, a numerical scheme for debris flow and free surface water wave was developed based on shallow water approximation, in which the interaction between these two flows was included newly. Generation of waves by plunging of debris flow is highly non-linear phenomena. Original CIP method and first order up-wind scheme mixed with second order central derivative scheme were adopted to simulate collision of two initially separated fluids (debris flow and still water). Six cases have been adopted to simulate the generation, propagation and run-up of water waves generated by debris flow. The time series of these two flows for these six calculating cases show the interaction of these two flows. Numerical results for interaction of debris flow and generated water wave are quite satisfactory and reasonable.

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