Numerical simulations of stratified fluid flow over topography near resonance

We use a high-resolution spectral numerical scheme to solve the two-dimensional equations of motion for the flow of a uniformly stratified Boussinesq fluid over isolated bottom topography in a channel of finite depth. The focus is on conditions such that the flow is near linear resonance. The results are compared with the existing theories: nonresonant steady hydrostatic theory, resonant and nonresonant time-dependent long-wave theory, and resonant fully nonlinear, weakly dispersive theory. We also analyze the approach to breaking that occurs downstream of the topopgraphy near resonance.