Cnoidal Wave-Induced Seepage Forces on Large Porous Vertical Circular Cylinder Resting on Porous Elastic Seabed

2014 ◽  
Vol 501-504 ◽  
pp. 2060-2064
Author(s):  
Hua Huang ◽  
Rui Zhi Chen ◽  
Qi Li ◽  
Jie Min Zhang ◽  
Lin Guo
Keyword(s):  
Circular Cylinder ◽  
Shallow Water ◽  
Water Wave ◽  
Wave Theory ◽  
The Body ◽  
Cnoidal Wave ◽  
Wave Load ◽  
Seepage Pressure ◽  
Shallow Water Wave ◽  
Wave Induced

The influence of the porosity of the structure on the shallow water wave-Induced seepage force on the bottom of porous vertical circular cylinder resting on porous elastic seabed has been investigated. Based on the shallow water diffracted wave theory and Biot consolidation theory on wave-induced seepage pressure, the analytical solutions to first order cnoidal wave diffraction by porous vertical circular cylinder and wave-induced seepage pressure are obtained by the eigenfunction expansion approach. Numerical results show that cnoidal wave-induced uplift and moment may have same order of magnitude as the horizontal cnoidal wave force and moment , and the body porosity of the structure may lead to a reduction both in direct cnoidal wave forces and in the cnoidal wave induced seepage moment. Compared with Airy wave theory, in certain shallow water conditions, the shallow water wave theory can more effectively reflect wave nonlinearity effect in wave load prediction.

Effects of Cnoidal Wave-Induced Seepage on Vertical Breakwater Resting on Permeable Elastic Seabed

2014 ◽  
Vol 716-717 ◽  
pp. 284-288
Author(s):  
Jian Kang Yang ◽  
Hua Huang ◽  
Lin Guo ◽  
Jing Rong Lin ◽  
Qing Yong Zhu ◽  
...  
Keyword(s):  
Shallow Water ◽  
Wave Theory ◽  
Cnoidal Wave ◽  
Load Prediction ◽  
Wave Load ◽  
Seepage Pressure ◽  
Theoretical Investigations ◽  
Nonlinearity Effect ◽  
Wave Nonlinearity ◽  
Wave Induced

Theoretical investigations on cnoidal waves interacting with breakwater resting on permeable elastic seabed are presented in this paper. Based on the shallow water reflected wave theory and Biot consolidation theory on wave-induced seepage pressure, the analytical solutions to first order cnoidal wave reflection and wave-induced seepage pressure are obtained by the eigenfunction expansion approach. Numerical results are presented to show the effects of depth of water, breakwater geometry on cnoidal wave-induced seepage uplift force and overturning moment. Compared with Airy wave theory, in certain shallow water conditions, the shallow water wave theory can more effectively illustrate wave nonlinearity effect in wave load prediction.

scholarly journals Generation and Propagation of Tsunami by a Moving Realistic Curvilinear Slide Shape with Variable Velocities in Linearized Shallow-Water Wave Theory

Engineering ◽  
2010 ◽  
Vol 02 (07) ◽  
pp. 529-549 ◽  
Author(s):  
Hossam Shawky Hassan ◽  
Khaled Tawfik Ramadan ◽  
Sarwat Nageeb Hanna
Keyword(s):  
Shallow Water ◽  
Water Wave ◽  
Wave Theory ◽  
Shallow Water Wave

scholarly journals New analytical Solutions of (3+1)-dimensional Shallow Water Wave equation (SWW)

2021 ◽  
Vol 12 (2) ◽  
pp. 3036-3038
Author(s):  
Anjali Verma, Et. al.
Keyword(s):  
Wave Equation ◽  
Shallow Water ◽  
Analytical Solutions ◽  
Water Wave ◽  
Wave Theory ◽  
Shallow Water Wave ◽  
Kudryashov Method ◽  
Calculation Software

In this paper, we have obtained new analytical solutions of (3+1)-dimensional SWW equation with Kudryashov method. The study of Shallow water wave equation plays an imperative role in wave theory. For calculation software Maple is used. The solutions obtained by this method are new.  

Exact Traveling Wave Solutions and Bifurcations of Classical and Modified Serre Shallow Water Wave Equations

2019 ◽  
Vol 29 (12) ◽  
pp. 1950153
Author(s):  
Jibin Li ◽  
Guanrong Chen ◽  
Jie Song
Keyword(s):  
Solitary Wave ◽  
Shallow Water ◽  
Traveling Wave ◽  
Water Wave ◽  
Wave Equations ◽  
Wave Theory ◽  
Solitary Wave Solutions ◽  
Shallow Water Wave ◽  
Wave Solutions ◽  
Shallow Water Wave Equations

Using the dynamical systems analysis and singular traveling wave theory developed by Li and Chen [2007] to the classical and modified Serre shallow water wave equations, it is shown that, in different regions of the parameter space, all possible bounded solutions (solitary wave solutions, kink wave solutions, peakons, pseudo-peakons and periodic peakons as well as compactons) can be obtained. More than 28 explicit and exact parametric representations are precisely derived. It is demonstrated that, more interestingly, the modified Serre equation has uncountably infinitely many smooth solitary wave solutions and uncountably infinitely many pseudo-peakon solutions. Moreover, it is found that, differing from the well-known peakon solution of the Camassa–Holm equation, the modified Serre equation has four new forms of peakon solutions.

scholarly journals A SHALLOW WATER DIRECTIONAL WAVE RECORDER

1984 ◽  
Vol 1 (19) ◽  
pp. 20
Author(s):  
S.J. Buchan ◽  
R.K. Steedman ◽  
S.A. Stroud ◽  
D.G. Provis
Keyword(s):  
Shallow Water ◽  
Water Wave ◽  
Wave Theory ◽  
Wave Climate ◽  
Shallow Water Wave ◽  
Routine Basis ◽  
Recent Developments ◽  
Small Craft ◽  
Directional Wave ◽  
Wave Recorder

Shallow water wave theory shows that estimates of directional wave climate may be obtained from the measurement of near-bottom pressure and horizontal velocity components. Recent developments in low powered sensors and high density data loggers, incorporated into a bottom-mounted directional wave recorder, make the collection of directional shallow water wave data possible on a routine basis. The instrument is compact, robust, reliable and easily manageable from small craft, providing deployment capacities of up to four months. Analysis methods have been developed which provide for conversion of the recorded data to useful, convenient information.

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