A numerical wave flume is constructed based on the Reynolds Averaged Navier-Stokes （RANS） equations with turbulence closure by a modified k - ε model to study the viscous interactiorrs of waves with vertical breakw...A numerical wave flume is constructed based on the Reynolds Averaged Navier-Stokes （RANS） equations with turbulence closure by a modified k - ε model to study the viscous interactiorrs of waves with vertical breakwaters for different overtopping cases. The goveruing equations, the turbulence model, boundary conditions, and solution method for the nu- merical wave flume are introduced briefly. The reliability of the numerical wave flume is examined by comparing the nu- merical results with the experimental measurements, and good agreements between them indicate the validity of the pre- sent model. The developments of mean velocity fields, the contours of vorticity, and the influences of wave nonlinearity on turbulence field as wave passing through vertical breakwaters are discussed in detail based on the numerical results. It is noted that the vortices at the rear of the lower submerged breakwater are close to the bottum and maytbe induce the scouring to the leeside toe of marine structure in practice. Over all, a conclusion can be obtained from this study that the turbulence in wave field around structure is induced directly by the development of boundary layer on the solid boundary, the nonlinear interaction of free surface with obstaele, and the plunging of overtopping waves.展开更多
基金supported by the National Natural Science Foundation of China (Grant No.50779045)the Open Foundation of State Key Laboratory of Hydraulics and Mountain River Engineering (Grant No.0710)+2 种基金the Na-tional Science Foundationfor Post-doctoral Scientists of China (Grant No.20080440681)the Natural Science Foun-dation of Tianjin,China (Grant No.10JCYBJC03700)the Scientific and Technologic Development Foundation of the Higher Education Institutions of Tianjin,China (Grant No.20080906)
文摘A numerical wave flume is constructed based on the Reynolds Averaged Navier-Stokes （RANS） equations with turbulence closure by a modified k - ε model to study the viscous interactiorrs of waves with vertical breakwaters for different overtopping cases. The goveruing equations, the turbulence model, boundary conditions, and solution method for the nu- merical wave flume are introduced briefly. The reliability of the numerical wave flume is examined by comparing the nu- merical results with the experimental measurements, and good agreements between them indicate the validity of the pre- sent model. The developments of mean velocity fields, the contours of vorticity, and the influences of wave nonlinearity on turbulence field as wave passing through vertical breakwaters are discussed in detail based on the numerical results. It is noted that the vortices at the rear of the lower submerged breakwater are close to the bottum and maytbe induce the scouring to the leeside toe of marine structure in practice. Over all, a conclusion can be obtained from this study that the turbulence in wave field around structure is induced directly by the development of boundary layer on the solid boundary, the nonlinear interaction of free surface with obstaele, and the plunging of overtopping waves.
