Interaction of solitons by simulating the relative forced motion for submerged cylinders in shallow water

Free surface flow generated by submerged cylinders in relative forced steady motion in shallow water beneath the initially undisturbed free surface is reconsidered in this article. The fluid is assumed to be inviscid and incompressible and the flow is irrotational. Thus the governing equation can be discretized by potential flow theory based on boundary element method. Fully-nonlinear boundary conditions are satisfied on the unknown free surface and the moving body surface. The free surface is traced by a Lagrangian scheme. Re-mesh procedure is applied regularly which is crucial to quality of the numerical results. We concentrate on submerged cylinders moving with supercritical speeds and then the interaction of solitary waves can be simulated by considering the relative motion of two submerged cylinders. The wave profile, the pressure distribution and the hydrodynamic force are fully analyzed.