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Numerical Study of Effects of Complex Topography on Surface-Piercing Wave-Body Interactions

  • Xi Zhang
  • Xiangyin Meng
  • Yunfei Du
Research Article
  • 11 Downloads

Abstract

In this paper, wave-body interactions under the effects of complex topography are investigated numerically by a two-phase incompressible Reynolds-Averaged Navier-Stokes (RANS) solver in OpenFOAM. A submerged bottom-standing structure is distributed below the floating body, and the effects of the water depth and top width of the submerged structure on wave-body interactions are studied. The results show that the submerged structure can affect wave loads and roll motion. The vertical force can be amplified on the fixed body when the water depth of the submerged structure is smaller than half of the water depth of the body. The top width significantly affects the vertical force when the top width is smaller than the incident wave length and larger than the body width. For the free-rolling body, roll amplitude can be increased when the ratio of the incident wave length to the water depth of the submerged structure is large enough. On the resonance condition, roll amplitude is slightly reduced by the submerged structure. The effects of the top width on roll amplitude are remarkable when special conditions are fulfilled.

Keywords

Wave-body interactions Complex topography Wave loads Roll motion OpenFOAM 

Nomenclature

U, V

velocity components in x- and y-directions

x, y, z

coordinates in Cartesian system

t

time

ρ, ρwater, ρair

density of fluid, water, and air, respectively

μt, μf, μa, μfwater, μfair

viscosity of total, fluid, turbulence, water, and air, respectively

γ

volume fraction of fluid.

B, l, L

the width, height, and length of the floating body

d

the initial draft of the floating body

h

the water depth of the numerical wave tank

B2, B3

the top width and the bottom width of the submerged structure, respectively

d2

the water depth of the submerged structure

λ

wave length

Ha

wave height

Hw

half of wave height

T

wave period

ω

wave frequency

ωn

natural roll frequency of the floating body

ξB

nondimensional frequency

Fs

the horizontal force on the floating body

Fh

the vertical force on the floating body

M

moment on the floating body

nB

the number of divisions per width of the floating body

nH

the number of divisions per wave height

nL

the number of divisions per wave length

Δt

time step

fa (Fs), fa (Fh), fa(M)

first-order amplitude of the horizontal force, vertical force, and moment, respectively

α

the roll angle of the floating body

ψ

first-order amplitude of roll amplitude

ψd, ψf

first-order amplitude of roll angle with and without submerged structure, respectively

Notes

Acknowledgments

The authors thank the project <Newcastle University and Chinese Organizations in Ocean Engineering: Piloting collaborations in both research and PG students’ training> at Newcastle University, UK. Finally, the corresponding author thanks the full studentship of City University of London awarded to the hydrodynamics group led by Prof. Qingwei Ma.

Funding Information

The research is supported by the National Key Research and Development Program of China under Grand No. 2016YFB0200902. The research is also supported by the Program for Guangdong Introducing Innovative and Entrepreneurial Teams under Grant No.2016ZT06D211.

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Copyright information

© Harbin Engineering University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.National Supercomputer Center in GuangzhouSun Yat-Sen UniversityGuangzhouChina
  2. 2.School of Mathematics, Computer Science, and EngineeringCity University of LondonLondonUK
  3. 3.School of Marine Science and TechnologyNewcastle UniversityNewcastleUK

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