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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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Figure 5.29. Graphs showing computed solution <strong>for</strong> the 3-dimensional seiching problem<br />

using a viscous, homogeneous fluid .................................................................................138<br />

Figure 5.30. Graphs showing simulated 20-hour time history <strong>for</strong> seiching of a viscous,<br />

homogeneous fluid...............................................................................................................139<br />

Figure 5.31. Graph showing velocity profiles <strong>for</strong> the 3-dimensional seiching problem<br />

using a viscous, homogeneous fluid in a 44-kilometer basin and a<br />

vertical eddy viscosity defined by a mixing length <strong>for</strong>mula ..........................................141<br />

Figure 5.32. Graph showing velocity profiles <strong>for</strong> the 3-dimensional seiching problem<br />

using a viscous, homogeneous fluid in a 44-kilometer basin and a<br />

constant vertical eddy viscosity .......................................................................................141<br />

Figure 5.33. Graphs showing computed solution of the 3-dimensional seiching problem<br />

using a viscous fluid of nonhomogeneous density.........................................................142<br />

Figure A.1. <strong>Estuarine</strong> reference frame shown fixed to the earth’s surface at latitude φ<br />

and rotating about the earth’s axis with angular velocity Ω.........................................161<br />

Figure A.2. The earth’s rotation causes a centripetal acceleration that affects the local<br />

acceleration of gravity at the earth’s surface .................................................................162<br />

Figure C.1. Definition sketch <strong>for</strong> the estuarine free surface, bottom, and total depth in a<br />

z-coordinate system.............................................................................................................167<br />

Figure C.2. Schematic of a σ-grid shown in (A) z-coordinate space and<br />

(B) σ -coordinate space ......................................................................................................168<br />

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