SOLUTIONS TO WAVE TRANSMISSION AND REFLECTION BY BOTTOM MOUNTED WAVE-PERMEABLE STRUCTURE IN SHALLOW WATER

摘要

We consider the problem of wave partial/full reflection and transmission by wave-permeable structure as solving the pseudo wave-absorbing shape-related function with the focus on the understanding of wave attenuation. For determination of absorbing-reflection effects of wave-permeable breakwaters, one-dimensional case is studied to give the analytical expression of the absorbing term, and the analytical predictions are compared to available physical laboratory data in flume for wave propagation through bottom-mounted permeable breakwaters. Then the expression is also applied in depth averaged Boussinesq type wave equations in simulating the non-linear wave transmission through wave-permeable breakwater, we obtain accurate predictions of reflected and transmitted results combined with diffraction-refraction effects around the wave-permeable breakwater for various incident-wave conditions in the two-dimensional case. The results show that wave permeable breakwaters with proper absorbing effects can be used as an effective alternative to massive gravity breakwaters in reduction of wave transmission in shallow water.