The bottom boundary layer induced by a solitary surface wave is examined with a high resolution and high accuracy 2D pseudo-spectral numerical model. By using a moving reference frame, the solitary wave becomes stationary in the computational domain and the corresponding governing equations for boundary layer flow are derived. To solve the governing equations, Fourier spectral discretization is used in the horizontal direction and Legendre spectral collocation scheme is used within vertical subdomain of variable height and fixed order of polynomial approximation. Spectral filtering consists of the explicit application of an order low-pass filter function to the spectral expansion of the solution. Penalty methods consist of a linear combination of the equation and boundary/patching conditions at the boundaries and subdomain interfaces respectively. The simulated results, including the vertical profiles of the longitudinal velocity and the bed shear stress, are compared with experimental data. Good agreements are observed and flow characteristics in the bottom boundary layer are analyzed.
展开▼
