Mechanics of nonlinear random wave groups interacting with a vertical wall

2008 ◽  
Vol 20 (3) ◽  
pp. 036604 ◽  
Author(s):  
Alessandra Romolo ◽  
Felice Arena
Keyword(s):  
Vertical Wall ◽  
Random Wave ◽  
Wave Groups ◽  
Nonlinear Random Wave

Three-dimensional nonlinear random wave groups in intermediate water depth

2008 ◽  
Vol 55 (12) ◽  
pp. 1052-1061 ◽  
Author(s):  
Felice Arena ◽  
Alfredo Ascanelli ◽  
Vincenzo Nava ◽  
Diego Pavone ◽  
Alessandra Romolo
Keyword(s):  
Water Depth ◽  
Three Dimensional ◽  
Random Wave ◽  
Intermediate Water ◽  
Wave Groups ◽  
Nonlinear Random Wave

scholarly journals Comparison of Extreme Surface Elevation for Linear and Nonlinear Random Wave Theory for Offshore Structures

2018 ◽  
Vol 203 ◽  
pp. 01021
Author(s):  
Nurul 'Azizah Mukhlas ◽  
Noor Irza Mohd Zaki ◽  
Mohd Khairi Abu Husain ◽  
Gholamhossein Najafian
Keyword(s):  
Probabilistic Approach ◽  
Wave Theory ◽  
Offshore Structures ◽  
Random Wave ◽  
Linear Wave ◽  
Random Waves ◽  
Sea State ◽  
Higher Order Terms ◽  
Structural Responses ◽  
Nonlinear Random Wave

For offshore structural design, the load due to wind-generated random waves is usually the most important source of loading. While these structures can be designed by exposing them to extreme regular waves (100-year design wave), it is much more satisfactory to use a probabilistic approach to account for the inherent randomness of the wave loading. This method allows the statistical properties of the loads and structural responses to be determined, which is essential for the risk-based assessment of these structures. It has been recognized that the simplest wave generation is by using linear random wave theory. However, there is some limitation on its application as some of the nonlinearities cannot be explained when higher order terms are excluded and lead to underestimating of 100-year wave height. In this paper, the contribution of nonlinearities based on the second order wave theory was considered and being tested at a variety of sea state condition from low, moderate to high. Hence, it was proven that the contribution of nonlinearities gives significant impact the prediction of 100-year wave's design as it provides a higher prediction compared to linear wave theory.

Nonlinear Space–Time Evolution of Wave Groups With a High Crest

2005 ◽  
Vol 127 (1) ◽  
pp. 46-51 ◽  
Author(s):  
Felice Arena ◽  
Francesco Fedele
Keyword(s):  
Time Evolution ◽  
Surface Displacement ◽  
Fixed Time ◽  
Space Time ◽  
Second Order ◽  
Random Wave ◽  
Wave Groups ◽  
Free Surface Displacement ◽  
Nonlinear Free Surface ◽  
Space Time Evolution

The theory of quasi-determinism, for the mechanics of linear random wave groups was obtained by Boccotti in the eighties. The first formulation of the theory deals with the largest crest amplitude; the second formulation deals with the largest wave height. In this paper the first formulation of Boccotti’s theory, particularized for long-crested waves, is extended to the second-order. The analytical expressions of the nonlinear free surface displacement and velocity potential are obtained. The space–time evolution of the nonlinear wave group, when a very large crest occurs at a fixed time and location, is then shown. Finally the second-order probability of exceedance of the crest amplitude is obtained and validated by Monte Carlo simulation.

Dissipation in random wave groups incident on a beach

1993 ◽  
Vol 19 (1-2) ◽  
pp. 127-150 ◽  
Author(s):  
J.A. Roelvink
Keyword(s):  
Random Wave ◽  
Wave Groups

Nonlinear random wave equations

1994 ◽  
Vol 35 (4) ◽  
pp. 1634-1643 ◽  
Author(s):  
Maged Elshamy
Keyword(s):  
Wave Equations ◽  
Random Wave ◽  
Nonlinear Random Wave

Some Effects of Non-Linearity for High Wave Groups in Front of a Vertical Wall

2007 ◽  
Author(s):  
Alessandra Romolo ◽  
Felice Arena
Keyword(s):  
Velocity Potential ◽  
Vertical Wall ◽  
Surface Displacement ◽  
Wave Crest ◽  
Sea Waves ◽  
Wave Groups ◽  
Large Wave ◽  
High Wave ◽  
Free Surface Displacement ◽  
Sea Wave

The upright fully reflective wall-types breakwaters have been widely adopted for development of harbours. The design of these structures depends on the characteristic wave field resulting from the interaction of the sea waves with the reflective structure, which is strongly irregular and nonlinear. This paper deals with the mechanics of long-crested wave groups in front of a vertical wall. For this purpose the ‘Quasi Determinism’ theory, particularized for the reflection of sea wave groups, is extended up to the second-order. The nonlinear processes free surface displacement and velocity potential, when a large wave crest occurs on the vertical wall or in front of it, are obtained. In the application some properties of nonlinear wave groups in reflection, when a high wave crest occurs on the wall or in front of it, are investigated.

scholarly journals Reflection of Wave Groups from a Vertical Wall

2010 ◽  
Vol 66 (1) ◽  
pp. 16-20
Author(s):  
Wataru KIOKA ◽  
Toshikazu KITANO ◽  
Katsunori HIGO
Keyword(s):  
Vertical Wall ◽  
Wave Groups

COMPLEX ENVELOPE IDENTIFICATION OF WAVE GROUPS

1986 ◽  
Vol 1 (20) ◽  
pp. 57 ◽  
Author(s):  
Rodney J. Sobey ◽  
Han-Bin Liang
Keyword(s):  
Phase Function ◽  
Intrinsic Property ◽  
Wave Model ◽  
Dominant Frequency ◽  
Envelope Function ◽  
Random Wave ◽  
Function Estimation ◽  
Wave Groups ◽  
Complex Envelope ◽  
Analysis Technique

The complex envelope function is presented as the natural analysis technique for wave records where the identification of wave groups is a dominant interest. Algorithms have been developed and confirmed for separation of the complex envelope function, estimation of the dominant frequency and unwrapping of the phase function. Cross-correlograms and coherence spectra reveal a link between the envelope amplitude and phase traces that appears to be an intrinsic property of wave groups. Nevertheless, the majority of the information in typical wave records can be described as random, accounting for the relative success of the Gaussian random wave model.

Aspects of Nonlinear Random Wave Kinematics

2002 ◽  
Author(s):  
Dag Myrhaug ◽  
Carl Trygve Stansberg ◽  
Hanne Therese Wist
Keyword(s):  
Free Surface ◽  
Second Order ◽  
Difference Frequency ◽  
Stokes Wave ◽  
Frequency Effect ◽  
Random Wave ◽  
Sum Frequency ◽  
Wave Kinematics ◽  
Nonlinear Random Wave ◽  
Nonlinear Free Surface

Statistics of the nonlinear free surface elevation as well as the nonlinear random wave kinematics in terms of the horizontal velocity component in arbitrary water depth are addressed. Two different methods are considered: a simplified analytical approach based on second-order Stokes wave theory including the sum-frequency effect only, and a second-order random wave model including both sum-frequency and difference-frequency effects. The paper compares results for the statistics of the nonlinear free surface, and the consequences of neglecting the difference-frequency effect in the first method are discussed.

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