Theoretical modeling of hydrodynamic characteristics of a compound column-plate structure based on a novel derivation of mean drift force formulation

Abstract

To improve the seakeeping capability, some devices, such as submerged plates, are often installed on floating structures. The attached plate can not only suppress the motion response but also provide an additional immersed body surface that receives fluid action, aggravating the wave loads. In this study, a theoretical model is developed within the context of linear potential theory to study the hydrodynamic characteristics of a floating column with a submerged plate attached at the bottom. The eigenfunction expansion matching method is applied to obtain the velocity potential, based on which the linear wave force and wave runup can be found immediately. A novel derivation of the mean drift force formulation is developed via the application of Green’s second identity to the velocity potential and its derivative in finite fluid volume surrounding the body. Mean drift force formulation that involves control surfaces is then obtained. With the availability of the velocity potential, semi-analytical solution of the mean drift force on the compound column-plate structure is developed based on, respectively, the derived and the classic far-field formulations. After conducting convergence tests and validating the theoretical model, detailed numerical analysis is performed thereafter based on the theoretical model. The influence of the plate size, such as the radius and height, on the wave force and the associated wave runup is assessed.

Keywords

Mean drift force submerged plate control surface wave runup

Get full access to this article

View all access options for this article.

References

Downie

Graham

JMR

Hall

, et al. An experimental investigation of motion control devices for truss spars. Mar Struct 2000; 13(2): 75–90.

B-B

Huang

Z-H

Low

, et al. Experimental and numerical study of the effects of heave plate on the motion of a new deep draft multi-spar platform. J Mar Sci Technol 2013; 18(2): 229–246.

Antonutti

Peyrard

Johanning

, et al. An investigation of the effects of wind-induced inclination on floating wind turbine dynamics: heave plate excursion. Ocean Eng 2014; 91(15): 208–217.

X-P.

Functional performance of a submerged and essentially horizontal plate, for offshore wave control: a review. Coast Eng J 2002; 44(2): 127–147.

X-P

Chwang

AT.

Analysis of wave scattering by submerged circular disk. J Eng Mech 1993; 119(9): 1804–1817.

Martin

Farina

Radiation of water waves by a heaving submerged horizontal disc. J Fluid Mech 1997; 337: 365–379.

Molin

On the added mass and damping of periodic arrays of fully or partially porous disks. J Fluid Mech 2001; 15(2): 275–290.

Tao

L-B

Thiagarajan

. Low KC flow regimes of oscillating sharp edges I. Vortex shedding observation. Appl Ocean Res 2003; 25(1): 21–35.

Tao

L-B

Thiagarajan

. Low flow regimes of oscillating sharp edges. II. Hydrodynamic forces. Appl Ocean Res 2003; 25(2): 53–62.

10.

Farina

Water wave radiation by a heaving submerged horizontal disk very near the free surface. Phys Fluids 2010; 22(5): 057102.

11.

Jiang

Gou

Teng

Water wave radiation problem by a submerged cylinder. J Eng Mech 2014; 140(5): 06014003.

12.

Jiang

Gou

Teng

, et al. Analytical solution of a wave diffraction problem on a submerged cylinder. J Eng Mech 2014; 140(1): 225–232.

13.

Koh

Cho

IH.

Heave motion response of a circular cylinder with the dual damping plates. Ocean Eng 2016; 125: 95–102.

14.

Wang

Zhang

Z-Q.

Study on hydrodynamic coefficients of double submerged inclined plates. China Ocean Engineering 2018; 32(1): 85–89.

15.

Lee

CH.

On the evaluation of quadratic forces on stationary bodies. J Eng Math 2007; 58(1–4): 141–148.

16.

Chen

XB.

Middle-field formulation for the computation of wave-drift loads. J Eng Math 2006; 59(1): 61–82.

17.

Yeung

RW.

Added mass and damping of a vertical cylinder in finite-depth waters. Appl Ocean Res 1981; 3(3): 119–133.

18.

Calisal

Sabuncu

Hydrodynamic coefficients for vertical composite cylinders. Ocean Eng 1984; 11(5): 525–542.

19.

Pinkster

JA.

Low frequency second order wave exciting forces on floating structures. PhD Thesis, Delft University of Technology, Delft, 1980.

20.

Ogilvie

. Second order hydrodynamic effects on ocean platforms. In: Proceedings of the international workshop on ship and platform motions, Berkeley, CA, 26–28 October 1983, pp.205–265. Berkeley, CA: University of California.

21.

Maruo

The drift of a body floating in waves. J Ship Res 1960; 4: 1–10.

22.

Newman

JN.

The drift force and moment on ships in waves. J Ship Res 1967; 11: 51–60.

23.

Mei

Stiassnie

Yue

DKP

. Theory and applications of ocean surface waves. Singapore: World Scientific, 2005.

24.

Bachynski

Kvittem

Luan

, et al. Wind-wave misalignment effects on floating wind turbines: motions and tower load effects. J Offshore Mech Arct Eng 2014; 136(4): 041902.