P. Sammarco et al., NONLINEAR RESONANCE OF FREE-SURFACE WAVES IN A CURRENT OVER A SINUSOIDAL BOTTOM - A NUMERICAL STUDY, Journal of Fluid Mechanics, 279, 1994, pp. 377-405
We examine the free surface flow over a fixed bed covered by rigid sin
usoidal dunes. The mean current velocity is near the critical value at
which the linearized theory predicts unbounded response. By allowing
transients we examine the instability of the steady and nonlinear solu
tion of Mei (1969) and the possibility of chaos when the current has a
small oscillatory component.