Research Article

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

Table 2

Reflection by a rectangle obstacle and comparison with the solution of Mei and Black [15].

𝐾 , 𝑏 / 𝐻 0.17, 20.06, 40.03, 6

IEMM ( 𝑁 = 𝐿 = 1 0 )0.3181140.3284880.330839
IEMM ( 𝑁 = 𝐿 = 5 0 )0.3182610.3285170.330844
IEMM ( 𝑁 = 𝐿 = 1 0 0 )0.3182710.3285190.330845
IEMM ( 𝑁 = 𝐿 = 2 0 0 )0.3182750.3285200.330845
IEMM ( 𝑁 = 𝐿 = 3 0 0 )0.3182770.3285200.330845
DEMM ( 𝑁 = 𝐿 = 3 0 0 )0.3182770.3285200.330845
TM ( 𝐿 = 0 , 𝑁 = 5 0 )0.3182660.3283010.330648
TM ( 𝐿 = 0 , 𝑁 = 1 0 0 )0.3182680.3283020.330649
TM ( 𝐿 = 0 , 𝑁 = 2 0 0 )0.3182680.3283020.330649
Mei and Black [15] ( 𝐿 = 5 , 𝑁 = 2 5 )0.3183300.3285240.330841
Plane-wave ( 𝑁 = 𝐿 = 0 )0.2865980.3197530.327476