In this example a solitary wave hits a breakwater constructed with porous materials. The width of the breakwater is 0.5 m and its hight is larger than the hight of the water plus the wave amplitude.
Some of wave height is transmitted through the barrier, some damps and the remaining reflects from the breakwater. Total domain length is 20 meter, and the breakwater is located in the middle of the domain. Thedepth of the domain is 40 cm and the amplitude of the solitary wave is 3.8 cm before impact the breakwater. The left boundary is specified as known elevations and rightboundary as closed boundary with zero velocities. Schematic view of problem andits boundary conditions are shown in Fig. 11.
Transmission coefficient ( ) specified as thewave height ratio passsed through the breakwater to the entire wave heightand reflection coefficient( ) is defined as the ratio of the return wave heightto the total wave height. Madson49 presented an analyticalsolution for this problem, also Li et al. solved theproblem numerically23. For detailed information please see these references.Breakwater porosity is 0.5 and different values has been considered for meangrain diameter( ).
Intrinsic permeability at eachdiameter has been calculated using Equaion 6 with known value of porosity. Reynolds number in this problem is about 100that is more than the range which is valid for linear assumption made by Darcy.Thus, nonDarcy terms should be considered in this case.
Mesh length for thistest has been considered as 4 cm and a schematic view of mesh plot and dimensionsare shown in Figure 12. Time intervals for present solutions have beenconsidered as 0.02 seconds.
The results have been determined in the present study are reported at 5 different and compared in Fig. 13 with the theoretical resultsand also the numerical results of Li. et al. (2016). It should be mentionedthat the numerical results of Li. et al. (2016) had been determined based onControl Volume method and NonDarcy assumption.
As shown the results are in very good match with both theoretical and previousnumerical ones