A novel numerical technique to fulfill dynamic interfacial boundary conditions on fixed Cartecian computing grids, based on interactive interpolations of velocity gradients to the both air and liquid phases, was proposed in this paper. The balances of the tangential shears across the interface and the normal pressure jump were able to be reasonably achieved in our method used in computations of the air-liquid interfacial flows. An early stage of wind wave generation, wavelets initiated from a still water horizontally blowing undisturbed wind was reasonably computed using the current technique
