Second-order water wave diffraction by 
an array of vertical cylinders

Malenica, Šime; Taylor, R. Eatock; Huang, J.

doi:10.1017/s0022112099005273

Cited by 94 publications

(56 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Porter (1997, 1999) found that for the wave forces on circular arrays of four, five and six cylinders, the near trapping phenomenon also existed. Maleniča et al (1999) further showed that similar behavior could occur for the second-order result. Duclos and Clè ment (2004) extended this work to consider arrays of unevenly spaced cylinders, displaced randomly from a regular array according to a disordering parameter.…”

Section: Introductionsupporting

confidence: 58%

Multi-directional random wave interaction with an array of cylinders

Liu

Bingham

et al. 2015

Ocean Engineering

View full text Add to dashboard Cite

. (2015). Multi-directional random wave interaction with an array of cylinders. Ocean Engineering, 110, 62-77. DOI: 10.1016/j.oceaneng.2015 ABSTRACTBased on the linear theory of wave interaction with an array of circular bottom-mounted vertical cylinders, systematic calculations are made to investigate the effects of the wave directionality on wave loads in short-crested seas. The multi-directional waves are specified using a discrete form of the Mitsuyasu-type spreading function. The time series of multi-directional wave loads, including both the wave run-up and the wave force, can be simulated. The effect of wave directionality on the wave run-up and wave loading on the cylinders is investigated. For multi-directional random waves, as the distribution of wave spreading becomes wider, the wave run-up at some points around the cylinders is found to increase. This suggests that multi-directional wave run-up tends to be larger than unidirectional wave run-up. In addition, the wave directionality has a significant influence on the transverse force. The biggest transverse force is found to occur on the rear cylinder rather than the front one. This is quite different from the results in unidirectional waves and should be paid much more attention in the design of offshore structures. At last, the possibility of the near-trapping under the multi-directional random waves is investigated. It is found that the near-trapping also occurs for multi-directional wave conditions.

show abstract

Section: Introductionsupporting

confidence: 58%

Multi-directional random wave interaction with an array of cylinders

Liu

Bingham

et al. 2015

Ocean Engineering

View full text Add to dashboard Cite

show abstract

“…The resulting expression is : The numerical implementation of the method must be performed very carefully because of many convergence problems associated with the eigenfunction expansions, Graff's theorem and especially numerical integration over the free surface. For details we refer to [19].…”

Section: Potentialmentioning

confidence: 99%

Semi-Analytical Methods for Different Problems of Diffraction-Radiation by Vertical Circular Cylinders

Malenica¹

2012

International Journal of Ocean System Engineering

View full text Add to dashboard Cite

As in the other fields of mechanics, analytical methods represent an important analysis tool in marine hydrodynamics. The analytical approach is interesting for different reasons : it gives reference results for numerical codes verification, it gives physical insight into some complicated problems, it can be used as a simplified predesign tool, etc. This approach is of course limited to some simplified geometries (cylinders, spheres, ...), and only the case of one or more cylinders, truncated or not, will be considered here. Presented methods are basically eigenfunction expansions whose complexity depends on the boundary conditions. The hydrodynamic boundary value problem (BVP) is formulated within the usual assumptions of potential flow and is additionally simplified by the perturbation method. By using this approach, the highly nonlinear problem decomposes into its linear part and the higher order (second, third, ...) corrections. Also, periodicity is assumed so that the time dependence can be factorized i.e. the frequency domain formulation is adopted. As far as free surface flows are concerned, only cases without or with small forward speed are sufficiently simple to be solved semi-analytically. The problem of the floating body advancing in waves with arbitrary forward speed is far more complicated. These remarks are also valid for the general numerical methods where the case of arbitrary forward speed, even linearized, is still too difficult from numerical point of view, and "it is fair to say that there exists at present no general practical numerical method for the wave resistance problem" [9], and even less for the general seakeeping problem. We note also that, in the case of bluff bodies like cylinders, the assumptions of the potential flow are justified only if the forward speed is less than the product of wave amplitude with wave frequency.

show abstract

“…Equations (6) and (7) are the evolution equations for two canonical variables Á and , which can be solved numerically by a time-stepping procedure. They can be used to analyse the evolution of forced waves due to the body oscillation started from rest, and the interaction of forced waves with small disturbance waves being the result of an initial elevation.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…Malenica and Molin [3], Huang and Eatock Taylor [4], Newman [5], Malenica et al [6]) and numerical approaches (e.g. Isaacson and Cheung [7], Kim et al [8], Ferrant et al [9], Ferrant and Pelletier [10]), the non-linear, high-frequency, radiation loads have received less attention [11].…”

Section: Introductionmentioning

confidence: 99%

Numerical simulations of non‐linear wave radiation in inviscid fluid with a free surface

Markiewicz

Ben-Nasr

Mahrenholtz

2003

Numerical Methods in Fluids

View full text Add to dashboard Cite

SUMMARYThe paper deals with the numerical simulation of non-linear wave radiation by vertical free-surface piercing structures moving horizontally in water of ÿnite constant depth. A time-stepping approach combined with the ÿnite element method is used to simulate the potential ows due to high-frequency oscillations of the structure. The evolution equations for the wave elevation and velocity potential at the free surface, exact up to second order, are derived using Stokes perturbation expansion. The boundary value problems up to second order at each time-step are solved using the Eulerian description and a ÿxed mesh of ÿnite elements. The results of simulations are presented for vertical cylinders of circular cross section, and for sloshing waves in annular tanks.

show abstract

Second-order water wave diffraction by an array of vertical cylinders

Cited by 94 publications

References 12 publications

Multi-directional random wave interaction with an array of cylinders

Multi-directional random wave interaction with an array of cylinders

Semi-Analytical Methods for Different Problems of Diffraction-Radiation by Vertical Circular Cylinders

Numerical simulations of non‐linear wave radiation in inviscid fluid with a free surface

Contact Info

Product

Resources

About