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

134 A Semi-Implicit, Three-Dimensional Model for Estuarine Circulation
u VELOCITY COMPONENT,
IN CENTIMETERS PER SECOND
WATER SURFACE ELEVATION,
IN CENTIMETERS
w VELOCITY COMPONENT,
IN CENTIMETERS PER SECOND
30
20
10
0
-10
-20
-30
30
20
10
0
-10
-20
-30
0.015
0.010
0.005
0
-0.005
-0.010
Node i = 13, j = 5
Node i = 2, j = 5
Node i = 2, j = 5, k = 3
Computed Analytical
-0.015
0 5
1 0
1 5
2 0
TIME, IN HOURS
Figure 5.25. Twenty-hour time history of computed and analytical solutions for the seiching of an ideal fluid.
The numerical solution is computed using the 3-dimensional semi-implicit leapfrog scheme and a time step
of 45 seconds.