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

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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.
u VELOCITY COMPONENT, IN CENTIMETERS PER SECOND 30 20 10 0 -10 -20 -30 30 20 10 0 -10 -20 -30 30 20 10 0 -10 -20 Node i = 13, j = 5 Node i = 13, j = 5 Node i = 13, j = 5 -30 0 5 Computed Analytical Δ t = 3 minutes Δ t = 5 minutes Δ t = 10 minutes 10 TIME, IN HOURS 15 20 Figure 5.26. Mid-basin solutions for the 3-dimensional seiching problem using an ideal fluid and three different time steps (Δt) for the semi-implicit leapfrog scheme. The analytical solution is shown for comparison. 5. Numerical Experiments 135
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In cooperation with the Interagency
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U.S. Department of the Interior Dir
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vi 4.2 Semi-Implicit One-Dimensiona
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viii Figure 5.6. Graph showing solu
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x Tables Table 2.1. Dimensionless n
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2 A Semi-Implicit, Three-Dimensiona
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2.4.1.2 Dynamic Surface Condition 2
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Water surface Water surface Level p
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h 1 h 2 h 3 h 4 h 5 h 6 z 1 ⁄ 2 z
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A Semi-Implicit, Three-Dimensional Model for Estuarine ... - USGS

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