A Semi-Implicit, Three-Dimensional Model for Estuarine ... - USGS
A Semi-Implicit, Three-Dimensional Model for Estuarine ... - USGS
A Semi-Implicit, Three-Dimensional Model for Estuarine ... - USGS
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128 A <strong>Semi</strong>-<strong>Implicit</strong>, <strong>Three</strong>-<strong>Dimensional</strong> <strong>Model</strong> <strong>for</strong> <strong>Estuarine</strong> Circulation<br />
AMPLITUDE ERROR, IN PERCENT ROOT MEAN SQUARE ERROR, IN PERCENT<br />
10<br />
9<br />
8<br />
7<br />
6<br />
5<br />
4<br />
3<br />
2<br />
1<br />
0<br />
-1<br />
15<br />
10<br />
5<br />
0<br />
Two-level scheme, niter = 2<br />
<strong>Three</strong>-level, leapfrog-trapezoidal scheme, niter = 1<br />
-5<br />
0 10 20 30 40 50 60<br />
Δ t,<br />
IN MINUTES<br />
Figure 5.21. Comparison of error measures between the two-level scheme with two iterations<br />
(niter = 2) and the three-level leapfrog-trapezoidal scheme with one iteration (niter = 1)<br />
of the trapezoidal step.<br />
All simulations were with space step Δx = 6,000 feet. The leapfrog-trapezoidal solutions<br />
were smoothed (β = 0.05) <strong>for</strong> time step Δt ≥ 10 minutes.
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