Numerical simulation of two-dimensional flow near a spur-dike

Abstract

Flow near a spur-dike is numerically simulated by solving the depth-averaged, shallow water equations. An ADI implicit scheme and the MacCormack explicit scheme, both second-order accurate in space and time, are employed. A packed grid is used in conjunction with the ADI scheme. Both no-slip and free-slip boundary conditions are applied at the walls. For simplicity, a constant eddy viscosity model is used to close the effective stresses. The eddy viscosity near the spur is determined and is assumed to exist throughout the entire flow field. The computed results compare favorably with experimental measurements. The results indicate that if the eddy viscosity can be estimated near the spur, the constant eddy viscosity model produces results similar to those obtained with more advanced turbulence models.