Second-Order Bichromatic Waves Produced By Generic Planar Wavemaker In A Two-Dimensional Wave Flume

1994 ◽  
Vol 8 (1) ◽  
pp. 73-92 ◽  
Author(s):  
W.I. Moubayed ◽  
A.N. Williams
Keyword(s):  
Second Order ◽  
Two Dimensional ◽  
Wave Flume ◽  
Dimensional Wave

A study of the stability of dynamically stable breakwaters

1991 ◽  
Vol 18 (6) ◽  
pp. 916-925 ◽  
Author(s):  
K. R. Hall ◽  
Joseph S. Kao
Keyword(s):  
Research Laboratory ◽  
Coastal Engineering ◽  
Irregular Waves ◽  
Two Dimensional ◽  
Uniformity Coefficient ◽  
Engineering Research ◽  
Hydraulic Models ◽  
Wave Flume ◽  
The Stability ◽  
Dimensional Wave

The effect of gradation of armour stones and the amount of rounded stones in the armour on dynamically stable breakwaters was assessed in a two-dimensional wave flume. A total of 52 series of tests were undertaken at the Coastal Engineering Research Laboratory of Queen's University, Kingston, Canada using irregular waves. Profiles of the structure during the various stages of reshaping were measured using a semiautomatic profiler developed for this study. Four gradations of armour stones were used, giving a range in uniformity coefficient of 1.35–5.4. The volume of stones and the initial berm width required for the development of a stable profile, along with the extent to which the toe of the structure progressed seaward, were chosen as representative parameters of the reshaped breakwater. The results indicated that the toe width formed as a result of reshaping and the area of stones required for reshaping were dependent on the gradation of the armour stones. The initial berm width required for reshaping was also found to be dependent on the gradation and the percentage of rounded stones in the armour. Key words: breakwaters, dynamic stability, hydraulic models, stability, armour stones.

Lacunas in two-dimensional wave propagation

1967 ◽  
Vol 63 (3) ◽  
pp. 819-825 ◽  
Author(s):  
R. Burridge
Keyword(s):  
Wave Propagation ◽  
Second Order ◽  
Sufficient Condition ◽  
Two Dimensional ◽  
Two Space Dimensions ◽  
Simple Sufficient Condition ◽  
General Work ◽  
Dimensional Wave

AbstractA simple sufficient condition is given for the existence of a lacuna in two-dimensional wave propagation governed by an equation of the second order. This work was inspired by Petrowsky's very general work (Petrowsky (3)) but for waves in two space dimensions we do not need the sophisticated machinery developed by him.

Stokes drift in two-dimensional wave flumes

1991 ◽  
Vol 230 ◽  
pp. 209-229 ◽  
Author(s):  
Robert T. Hudspeth ◽  
Wojciech Sulisz
Keyword(s):  
Boundary Condition ◽  
Independent Solution ◽  
Neumann Boundary ◽  
Second Order ◽  
Stokes Drift ◽  
Return Flow ◽  
Two Dimensional ◽  
Perturbation Expansions ◽  
First Order ◽  
Dimensional Wave

A complete second-order solution is presented for the two-dimensional wave motion forced by a generic planar wavemaker. The wavemaker is doubly articulated and includes both piston and hinged wavemakers of variable draught. It is shown that the first-order evanescent eigenseries cannot be neglected when computing the amplitude of the second-order free wave. A previously neglected, time-independent solution that is required to satisfy an inhomogeneous kinematic boundary condition on the wavemaker as well as an mhomogeneous Neumann boundary condition on the free surface is examined in detail for the first time. This time-independent solution is found to accurately estimate the mean return flow in a closed wave flume computed by the Eulerian method. This mean return current due to Stokes drift is usually estimated using the principle of kinematic conservation of mass flux. Even though the first-order eigenseries will converge for any geometry of a generic planar wavemaker, the second-order solutions obtained from Stokes perturbation expansions will not converge for all planar wavemaker geometries.

scholarly journals Numerical and Experimental Analyses on Motion Responses on Heaving Point Absorbers Connected to Large Semi-Submersibles

Processes ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 1363
Author(s):  
Kyong-Hwan Kim ◽  
Sewan Park ◽  
Jeong-Rok Kim ◽  
Il Hyoung Cho ◽  
Keyyong Hong
Keyword(s):  
Frequency Domain ◽  
Model Test ◽  
Ocean Basin ◽  
Eigenvalue Analysis ◽  
Two Dimensional ◽  
Motion Response ◽  
Wave Flume ◽  
Motion Responses ◽  
Point Absorbers ◽  
Dimensional Wave

This study considers the motion responses of heaving point absorbers (HPAs) connected to large semi-submersibles. To analyze the motion responses for HPAs, a motion response amplitude operator (RAO) of a single HPA connected to a fixed wall was obtained in a two-dimensional wave flume. A frequency-domain eigenvalue analysis is used to evaluate the motion RAO of a single HPA, and the experimental and numerical results of motion RAO were compared. A model test was conducted to analyze the motions of multiple HPAs connected to a large semi-submersible in a 3D ocean basin. The motion RAOs of the multiple HPAs connected to the large semi-submersible were compared with the motion RAO of the single HPA connected to the fixed wall.

Integrable two-dimensional dynamical systems and the characteristic Lie algebras

2007 ◽  
Vol 5 ◽  
pp. 195-200
Author(s):  
A.V. Zhiber ◽  
O.S. Kostrigina
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Lie Algebra ◽  
Lie Algebras ◽  
Second Order ◽  
System Of Equations ◽  
Two Dimensional ◽  
Finite Dimensional ◽  
Dimensional Dynamical System

In the paper it is shown that the two-dimensional dynamical system of equations is Darboux integrable if and only if its characteristic Lie algebra is finite-dimensional. The class of systems having a full set of fist and second order integrals is described.

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