摘要
A finite-volume formulation is proposed to solve the three-dimensional,non-hydrostatic Navier-Stokes equations on an unstructured,staggered,z-lever grid,with the goal of simulating non-hydrostatic processes in the free-surface flows.The advection and diffusion terms in the momentum equation are discretized explicitly with the Eulerian scheme,which has the attractive property of being conservative.An integral method of the top-layer pressure is applied to account for the full effects of non-hydrostatic pressure at the free-surface layer.It is shown that the results obtained with a small number of vertical layers（e.g.,2-3 layers） are in good agreements with experimental data or analytical solutions,demonstrating the efficiency and accuracy of the model in simulating a range of free-surface flow problems including wave motion and tide-induced motion.
A finite-volume formulation is proposed to solve the three-dimensional,non-hydrostatic Navier-Stokes equations on an unstructured,staggered,z-lever grid,with the goal of simulating non-hydrostatic processes in the free-surface flows.The advection and diffusion terms in the momentum equation are discretized explicitly with the Eulerian scheme,which has the attractive property of being conservative.An integral method of the top-layer pressure is applied to account for the full effects of non-hydrostatic pressure at the free-surface layer.It is shown that the results obtained with a small number of vertical layers（e.g.,2-3 layers） are in good agreements with experimental data or analytical solutions,demonstrating the efficiency and accuracy of the model in simulating a range of free-surface flow problems including wave motion and tide-induced motion.
