BEM Modeling of Viscous Motion of Surface Water Waves

2004 ◽  
Author(s):  
Mirmosadegh Jamali
Keyword(s):  
Numerical Modeling ◽  
Free Surface ◽  
Surface Wave ◽  
Water Waves ◽  
Wave Motion ◽  
Equations Of Motion ◽  
Solid Surfaces ◽  
Finite Difference Technique ◽  
Surface Water Waves ◽  
Motion Characteristics

This study is concerned with numerical modeling of viscous surface wave motion using boundary element method (BEM). The equations of motion for thin boundary layers at the solid surfaces are coupled with the potential flow in the bulk of the fluid, and a mixed BEM-finite difference technique is used to obtain the surface wave motion characteristics including the decay rate. The technique is presented for a standing surface wave motion. The extension to other free surface problems is discussed.

Numerical Modeling of Surface Wave Motion With a Bottom Turbulent Boundary Layer

2005 ◽  
Author(s):  
Mirmosadegh Jamali
Keyword(s):  
Boundary Layer ◽  
Surface Wave ◽  
Wave Motion ◽  
Turbulence Modeling ◽  
Numerical Technique ◽  
Equations Of Motion ◽  
Solid Surfaces ◽  
Bed Shear Stress ◽  
Finite Difference Technique ◽  
Mixing Length Theory

An effective numerical technique is presented to model turbulent motion of a standing surface wave in a tank. The equations of motion for turbulent boundary layers at the solid surfaces are coupled with the potential flow in the bulk of the fluid, and a mixed BEM-finite difference technique is used to obtain the wave and boundary layer characteristics such as bed shear stress. A mixing-length theory is used for turbulence modeling. Although the technique is presented for a standing surface wave, it can be easily applied to other free surface problems.

Numerical Modeling of Turbulent Surface Wave Motion Using a Coupled Boundary Element-Finite Difference Technique

2008 ◽  
Author(s):  
Mirmosadegh Jamali
Keyword(s):  
Surface Wave ◽  
Finite Difference ◽  
Wave Motion ◽  
Turbulence Modeling ◽  
Numerical Technique ◽  
Equations Of Motion ◽  
Solid Surfaces ◽  
Mixing Length ◽  
Finite Difference Technique ◽  
Mixing Length Theory

In this paper an effective numerical technique is presented to model turbulent motion of a standing surface wave in a tank. The equations of motion for turbulent boundary layers at the solid surfaces are coupled with the potential flow in the bulk of the fluid, and a mixed BEM-finite difference technique is used to obtain the wave and boundary layer characteristics. A mixing-length theory is used for turbulence modeling. The results are compared with previous experimental data. Although the technique is presented for a standing surface wave, it can be easily applied to other free surface problems.

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.

Impact Motion of a Buoyant Cylinder Released Underwater on a Surface Body

1979 ◽  
Vol 101 (3) ◽  
pp. 167-170
Author(s):  
J. S. Chung ◽  
R. G. Butler
Keyword(s):  
Free Surface ◽  
Surface Wave ◽  
Present Method ◽  
Body Shape ◽  
Equations Of Motion ◽  
Terminal Velocity ◽  
Cavitation Inception ◽  
Operational Safety ◽  
Deepwater Riser ◽  
Impact Motion

Surface impact velocities and accelerations of a buoyant module released underwater have been analyzed. The associated equations of motion are presented. The analyses include the effects of cavitation inception possibility, free surface and surface wave action. Velocities and accelerations of rising trajectories are computed as a function of buoyancy, body shape and release depth, with a special application to buoyant modules encasing a deepwater riser. The released module reaches terminal velocity shortly after release. The results and analyses can serve as a practical guide for the operational safety of handling buoyant modules in deep water. The present method of analyses can be applied to other similar bodies.

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

On an invariant property of water waves

1971 ◽  
Vol 49 (2) ◽  
pp. 385-389 ◽  
Author(s):  
T. Brooke Benjamin ◽  
J. J. Mahony
Keyword(s):  
Free Surface ◽  
Water Waves ◽  
Horizontal Plane ◽  
Wave Motion ◽  
Surface Displacement ◽  
Heavy Liquid ◽  
Invariant Property ◽  
Finite Region ◽  
Free Wave ◽  
Free Surface Displacement

The discussion concerns free wave motions generated from rest in a finite region of an ocean of heavy liquid lying on a horizontal plane. It is shown that the horizontal fist moment of the free-surface displacement varies linearly with time. Hence, if the total volume displaced is not zero and therefore the centroid of the displacement is definable, the centroid travels with a constant horizontal velocity as the wave motion evolves. This conclusion holds exactly for waves of any amplitude and even remains applicable subsequent to the breaking of waves.

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