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. The depth 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 right boundary as closed
boundary with zero velocities. Schematic view of problem and its boundary
conditions are shown in Fig. 11. Transmission
) specified as the wave height ratio passsed through the
breakwater to the entire wave height and reflection
) is defined as the ratio
of the return wave height to the total wave height. Madson49 presented an
analytical solution for this problem, also Li et al. solved the problem numerically23.
For detailed information please see these references.
Breakwater porosity is 0.5
and different values has been considered for mean grain diameter(
). Intrinsic permeability at each diameter has been
calculated using Equaion 6 with
known value of porosity. Reynolds number in this problem is about 100 that 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 this test has
been considered as 4 cm and a schematic view of mesh plot and dimensions are
shown in Figure 12. Time intervals for present solutions have been considered
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 results and also the numerical results of Li. et al. (2016). It should be
mentioned that the numerical results of Li. et al. (2016) had
been determined based on Control Volume method and NonDarcy assumption. As shown the results are in very
good match with both theoretical and previous numerical ones.