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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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u VELOCITY COMPONENT,<br />

IN CENTIMETERS PER SECOND<br />

WATER SURFACE ELEVATION,<br />

IN CENTIMETERS<br />

w VELOCITY COMPONENT,<br />

IN CENTIMETERS PER SECOND<br />

28<br />

24<br />

20<br />

16<br />

12<br />

8<br />

4<br />

0<br />

-4<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

-5<br />

-10<br />

0.005<br />

0.000<br />

-0.005<br />

-0.010<br />

Computed<br />

Analytical<br />

-0.015<br />

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7<br />

TIME, IN HOURS<br />

Node i = 13, j = 5 (middle of basin)<br />

Node i = 2, j = 5 (west side of basin)<br />

Node i = 2, j = 5, k = 3 (west side of basin, third layer)<br />

Figure 5.24. Computed and analytical solutions <strong>for</strong> the 3-dimensional (3-D) seiching test problem assuming<br />

an ideal (non-viscous) fluid and using the 3-D, semi-implicit leapfrog scheme <strong>for</strong> the numerical solution.<br />

A computational time step of 45 seconds was used <strong>for</strong> the numerical solution.<br />

5. Numerical Experiments 133

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