Flow over a bump: Difference between revisions

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\end{cases}  </math> |2=1}}
\end{cases}  </math> |2=1}}


where  <math>\eta</math> is the water surface elevation,  <math>\rho</math> is the water density,  <math>\rho_a</math> is the air density,  <math>g</math> is the gravitational acceleration,  <math>W</math> is the wind speed, <math>h</math>  is the water depth, and <math>C</math> is a constant of  integration.
where  <math>z_b</math> is the bed elevation and <math>x</math> is the horizontal distance.


== Model Setup ==
== Model Setup ==
A computational  grid with constant water depth of 5 m and irregular boundaries is used  in order to test the model performance. The computational grid has 60  columns and 70 rows and a constant resolution of 500 m.  
A computational  grid with constant water depth of 5 m and irregular boundaries is used  in order to test the model performance. The computational grid has 60  columns and 70 rows and a constant resolution of 500 m.  
[[Image:Bump_Grid.png|thumb|left|600px| Figure 1. Computational grid.]]
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== Results ==
== Results ==
[[Image:Wind_Setup_Dir0_WSE.png|thumb|left|600px|   Figure 1. Computed water surface elevation for the irregular domain with  constant water depth.]]
[[Image:Bump_Results.png|thumb|left|600px| Figure 2. Comparison of analytical and calculated water surface elevations and bed elevations.]]
 
‎[[Image:Wind_Setup_Dir0_V2.png|thumb|none|600px|  Figure 2. Comparison of computed water surface elevation to the  analytical solution for an irregular basin with constant depth.]]


<br    style="clear:both" />
<br    style="clear:both" />

Revision as of 23:19, 14 December 2010

UNDER CONSTRUCTION

Setup

The spatial domain consists of a rectangular

  (1)

where is the bed elevation and is the horizontal distance.

Model Setup

A computational grid with constant water depth of 5 m and irregular boundaries is used in order to test the model performance. The computational grid has 60 columns and 70 rows and a constant resolution of 500 m.

Figure 1. Computational grid.


Results

Figure 2. Comparison of analytical and calculated water surface elevations and bed elevations.


Test Cases

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