On Step Approximation for Roseau's Analytical Solution of Water Waves

Table 4

Reflection by a trench and comparison with the solution of Kirby and Dalrymple [10].

𝑘ℎ	0.341	0.723	1.296
IEMM (𝑁=𝐿=32)	0.459568	0.295852	0.0300908
IEMM (𝑁=𝐿=300)	0.459672	0.295807	0.0297184
DEMM [10] (𝑁=𝐿=2)	0.455857	0.295939	0.0399653
DEMM [10] (𝑁=𝐿=4)	0.458108	0.295293	0.0327490
DEMM [10] (𝑁=𝐿=8)	0.458944	0.295921	0.0319301
DEMM [10] (𝑁=𝐿=16)	0.459415	0.295879	0.0305612
DEMM [10] (𝑁=𝐿=32)	0.459568	0.295852	0.0300908
DEMM [10] (𝑁=𝐿=100)	0.459655	0.295817	0.0297851
DEMM [10] (𝑁=𝐿=200)	0.459669	0.295810	0.0297332
DEMM [10] (𝑁=𝐿=300)	0.459672	0.295807	0.0297184
TM (𝐿=0,𝑁=300)	0.460213	0.285417	0.0134597
Plane-wave (𝑁=𝐿=0)	0.389926	0.188591	0.0140776