Journal of Marine Science and Application

, Volume 17, Issue 4, pp 550–563 | Cite as

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

  • Xi ZhangEmail author
  • Xiangyin Meng
  • Yunfei Du
Research Article


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.


Wave-body interactions Complex topography Wave loads Roll motion OpenFOAM 


U, V

velocity components in x- and y-directions

x, y, z

coordinates in Cartesian system



ρ, ρwater, ρair

density of fluid, water, and air, respectively

μt, μf, μa, μfwater, μfair

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


volume fraction of fluid.

B, l, L

the width, height, and length of the floating body


the initial draft of the floating body


the water depth of the numerical wave tank

B2, B3

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


the water depth of the submerged structure


wave length


wave height


half of wave height


wave period


wave frequency


natural roll frequency of the floating body


nondimensional frequency


the horizontal force on the floating body


the vertical force on the floating body


moment on the floating body


the number of divisions per width of the floating body


the number of divisions per wave height


the number of divisions per wave length


time step

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

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


the roll angle of the floating body


first-order amplitude of roll amplitude

ψd, ψf

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



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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