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A Semi-Implicit, Three-Dimensional Model for Estuarine ... - USGS

A Semi-Implicit, Three-Dimensional Model for Estuarine ... - USGS

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110 A <strong>Semi</strong>-<strong>Implicit</strong>, <strong>Three</strong>-<strong>Dimensional</strong> <strong>Model</strong> <strong>for</strong> <strong>Estuarine</strong> Circulation<br />

ROOT MEAN SQUARE ERROR, IN PERCENT<br />

AMPLITUDE 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 />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

−5<br />

−10<br />

−15<br />

Leapfrog<br />

Leapfrog-trapezoidal, 1 iteration<br />

Leapfrog-trapezoidal, 4 iterations<br />

0 5 10 15 20<br />

Δ t, IN MINUTES<br />

Figure 5.10. Error measures using the three-level semi-implicit scheme on the hydrograph<br />

test problem <strong>for</strong> different values of the computational time interval (Δt).<br />

Δx = 2,000 feet <strong>for</strong> all simulations. Δx is the size of the computational space interval.

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