and the asymptotic formula for dissipation rate due to wave breaking reads:
1
0
/
n
wv
c z z
B
H
N
(3.42)
The constant c can be determined from boundary condition (3.35) to give
3
0
0
3
n
wv
w
q
z
B
u
S
z z
H
D
§
·
¨
¸
¨
¸
©
¹
(3.43)
When both shear production and diffusion are present, the dissipation
rate can be approximated as a sum of the two asymptotic terms, (3.38) and
(3.43):
Chapter 3: NEAR-SURFACE TURBULENCE
179
Figure 3-14. Numerical solution of the Craig and Banner (1994) model for a finite-depth layer
H = 100 m. First thin line is the solution for t = 0.5 hr, bold line is the solution for t = 10 hr. Time
interval between lines is 95 min.
1
0
/
n
wv
c z z
B
H
N
(3.42)
The constant c can be determined from boundary condition (3.35) to give
3
0
0
3
n
wv
w
q
z
B
u
S
z z
H
D
§
·
¨
¸
¨
¸
©
¹
(3.43)
When both shear production and diffusion are present, the dissipation
rate can be approximated as a sum of the two asymptotic terms, (3.38) and
(3.43):
Chapter 3: NEAR-SURFACE TURBULENCE
179
Figure 3-14. Numerical solution of the Craig and Banner (1994) model for a finite-depth layer
H = 100 m. First thin line is the solution for t = 0.5 hr, bold line is the solution for t = 10 hr. Time
interval between lines is 95 min.