
79Chapter four: One-dimensional conservation laws
–1000 –500 0 500
0
5
10
15
20
25
30
35
40
45
q (m
2
/s)
t = T/4
Simulated
Exact
Figure 4.30 Simulated and exact ow rates in the parabolic bowl at t = T/4.
–1000 –500 0 500 100
–25
–20
–15
–10
–5
0
5
10
15
20
q (m
2
/s)
t = 2T/4
Simulated
Exact
Figure 4.31 Simulated and exact ow rates in the parabolic bowl at t = 2T/4.