Numerical and simplified methods for the calculation of the total horizontal wave force on a perforated caisson with a top cover

Abstract The VOF method and the k–e model, combined with the equation of state of air at constant temperature, have been used to calculate the total horizontal wave force caused by monochromatic waves acting on a perforated caisson with a top cover. From comparison of various parameters, such as the total horizontal force, the pressure difference on the front wall, the pressure on the back wall and the pressure on the top cover, between the numerical results and test data, it can be seen that the numerical results agree well with the test data. It is concluded that the method described in this paper can be utilized to calculate wave forces acting on perforated caissons with a top cover in the case of nonovertopping, nonbreaking waves. A simplified method to calculate the total horizontal force has been developed, based on test data, using a least-squares method. A comparison between the numerical results and the values calculated from the simplified equations shows good agreement. Therefore the simplified equations can be used in engineering applications to evaluate the total horizontal force on a perforated caisson with a top cover.

[1]  Allen T. Chwang,et al.  A porous-wavemaker theory , 1982, Journal of Fluid Mechanics.

[2]  C. W. Hirt,et al.  SOLA-VOF: a solution algorithm for transient fluid flow with multiple free boundaries , 1980 .

[3]  L. Natale,et al.  Hydraulic Design of Perforated Breakwaters , 1992 .

[4]  Eloi Lambert,et al.  Tentative New Formula for Maximum Horizontal Wave Forces Acting on Perforated Caisson , 2003 .

[5]  J. V. Smallman,et al.  A mathematical model of a slotted wavescreen breakwater , 1992 .

[6]  A. Chwang,et al.  Scattering and radiation of water waves by permeable barriers , 2000 .

[7]  P. Bradshaw,et al.  Turbulence Models and Their Application in Hydraulics. By W. RODI. International Association for Hydraulic Research, Delft, 1980. Paperback US $15. , 1983, Journal of Fluid Mechanics.

[8]  Guo-Hai Dong,et al.  The reflection of oblique incident waves by breakwaters with double-layered perforated wall , 2003 .

[9]  Chen Xue.  Numerical Simulation of Wave Interaction with Perforated Caisson Breakwaters , 2003 .

[10]  Kil Seong Lee,et al.  Reflection of irregular waves from perforated-wall caisson breakwaters , 2001 .

[11]  Allen T. Chwang,et al.  Trapping and Generation of Waves by Vertical Porous Structures , 2000 .

[12]  滕斌,et al.  Reflection of Oblique Incident Waves by Breakwaters with Partially-Perforated Wall , 2002 .

[13]  A.M.O. Smith,et al.  Turbulence models and their application in hydraulics: W. Rodi, University of Karlsruhe, International Association for Hydraulic Research, Rotterdamseweg 185, 2600 MH Delft, The Netherlands , 1981 .

[14]  Katsutoshi Tanimoto,et al.  Uplift Wave Forces Due to Compression of Enclosed Air Layer and Their Similitude Law , 1985 .