Analysis of Wave-Induced Forces on a Floating Rectangular Box with Analytical and Numerical Approaches

Abstract

A three-dimensional mathematical hydrodynamic model associated with surface wave radiation by a floating rectangular box-type structure due to heave, sway, and roll motions in finite water depth is investigated based on small amplitude water wave theory and linear structural response. The analytical expressions for the radiation potentials, wave forces, and hydrodynamic coefficients are presented based on matched eigenfunction expansion method (MEFEM). The correctness of the analytical results of wave forces is compared with the construction of a numerical model using the open-source boundary element method code NEMOH. In addition, the present result is compared with the existing published experimental results available in the literature. The effects of the different design parameters on the floating box-type rectangular structure are studied by analyzing the vertical wave force, horizontal wave force, torque, added mass, and damping coefficients due to the heave, sway, and roll motions, and the comparison analysis between the forces is also analyzed in detail. Further, the effect of reflection and transmission coefficients by varying the structural width and drafts are analyzed.

Keywords

Mathematical model / MEFEM / Box-type structure / BEM code NEMOH / Wave forces

References

[1] Babarit A, Delhommeau G (2015) Theoretical and numerical aspects of the open source BEM solver NEMOH. Proceedings of the 11th European Wave and Tidal Energy Conference (EWTEC2015), Nantes. https://hal.science/hal-01198800v1

[2] Bispo IBS, Mohapatra SC, Guedes Soares C. Numerical analysis of a moored very large floating structure composed by a set of hinged plates. Ocean Engineering, 2022, 253: 110785

[3] Bispo IBS, Mohapatra SC, Guedes Soares C. Guedes Soares C, Santos TA. Numerical model of a WEC-type attachment of a moored submerged horizontal set of articulated plates. Trends in Maritime Technology and Engineering, 2022, London: Taylor & Francis Group, 335-344 Vol. 2

[4] Bhattacharjee J, Guedes Soares C. Oblique wave interaction with a floating structure near a wall with stepped bottom. Ocean Engineering, 2011, 38(13): 1528-1544

[5] Cho I-H. Transmission coefficients of a floating rectangular breakwater with porous side plates. International Journal of Naval Architecture and Ocean Engineering, 2016, 8(1): 53-65

[6] Drimer N, Agnon Y, Stiassnia M. A simplified analytical model for a floating breakwater in water of finite depth. Applied Ocean Research, 1992, 14(1): 33-41

[7] Elchahal G, Younes R, Lafon P. Parametrical and motion analysis of a moored rectangular floating breakwater. Journal of Offshore Mechanics and Arctic Engineering, 2009, 131(3): 031303-1–11

[8] Gadelho JFM, Mohapatra SC, Guedes Soares C. Guedes Soares C, Ângelo P T. CFD analysis of a fixed floating box-type structure under regular waves. Developments in Maritime Transportation and Harvesting of Sea Resources, 2018, London: Taylor & Francis, 513-520

[9] Guo Y, Mohapatra SC, Guedes Soares C. Guedes Soares C, Santos TA. Wave interaction with a rectangular long floating structure over flat bottom. Progress in Maritime Technology and Engineering, 2018, London: Taylor & Francis Group

[10] Islam H, Mohapatra SC, Guedes Soares C. OpenFOAM analysis of the wave radiation by a box-type floating structure. Ocean Engineering, 2019, 193: 106532

[11] Lee JF. On the heave radiation of the rectangular structure. Ocean Engineering, 1995, 22(1): 19-34

[12] McCartney BL. Floating breakwater design. J Waterway Port Coast Ocean Engineering, 1985, 111(2): 304-317

[13] Mohapatra SC, Guedes Soares C. Interaction of ocean waves with floating and submerged horizontal flexible structures in three-dimensions. Applied Ocean Research, 2019, 83: 136-154

[14] Mohapatra SC, Guedes Soares C. 3D hydroelastic modelling of fluid-structure interactions of porous flexible structures. Journal of Fluids and Structures, 2022, 112: 103588

[15] Mohapatra SC, Guedes Soares C. Hydroelastic behaviour of a submerged horizontal flexible porous structure in three-dimensions. Journal of Fluids and Structures, 2021, 104: 103319

[16] Newman JN. Marine hydrodynamics, 1977, Cambridge, USA: The M. I. T. Press

[17] Rodriguez M, Spinneken J. A laboratory study on the loading and motion of a heaving box. Journal of Fluids and Structures, 2016, 64: 107-126

[18] Zheng YH, You YG, Shen YM. On the radiation and diffraction of water waves by a rectangular buoy. Ocean Engineering, 2004, 31(8–9): 1063-1082

[19] Zheng YH, Shen YM, You YG, Wu BJ, Jie DS. Wave radiation by a floating rectangular structure in oblique sea. Ocean Engineering, 2006, 33(1): 59-81