A coupled boundary element–finite difference model of surface wave motion over a wall turbulent flow

Abstract

SUMMARYAn e ective numerical technique is presented to model turbulent motion of a standing surface wave in a tank. The equations of motion for turbulent boundary layers at the solid surfaces are coupled with the potential ow in the bulk of the uid, and a mixed BEM-ÿnite di erence technique is used to model the wave motion and the corresponding boundary layer ow. A mixing-length theory is used for turbulence modelling. The model results are in good agreement with previous physical and numerical experiments. Although the technique is presented for a standing surface wave, it can be easily applied to other free surface problems.

A meshless numerical wave tank for simulation of nonlinear irregular waves in shallow water

“…where 2 is the distance between any field point (x, z) in the computational fluid domain and the source point (x i , z i ). If all the source points are laid outside the fluid domain, the solution form will satisfy the governing equation automatically.…”

“…However, it may cause numerical instability in the simulation by using the meshless method, since derivative computations should be conducted on the velocity potentials on the incident boundary. In this study, a new wave generation technique is introduced by specifying both the wave elevations and the velocity potentials on the incident boundary based on the theoretical wave solutions, as described in Equation (2).…”

“…Along with the continuous increase of computer technique and power, many different types of numerical wave tanks (NWT) on the basis of different numerical methods and numerical techniques have been developed to simulate the propagation of water waves in the past decades [1][2][3][4][5][6][7][8][9][10]. Almost all the traditional numerical methods, such as the finite difference method (FDM) [2,3], the finite element method [4,5], the boundary element method (BEM) [6][7][8] and the volume of fluid (VOF) [9,10], have been applied to develop the NWT.…”