Wind Setup: Difference between revisions

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<font color=red>'''UNDER  CONSTRUCTION'''</font>
<font color=red>'''UNDER  CONSTRUCTION'''</font>
== Analytical Solution ==
== Analytical Solution ==
    {{Equation| <math> \eta = \sqrt{2 C_d rho } = m_b \rho c_b |u_c| u_c  </math> |2=1}}
The analytical solution for wind setup over a constant depth is given by
{{Equation|<math>  
  \eta = \sqrt{2 \frac{\rho_a C_d  W^2}{\rho g} (x + C ) + h^2} - h
</math>|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.
 
== 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.
 
== 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: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.]]
 
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Latest revision as of 20:16, 18 April 2013

UNDER CONSTRUCTION

Analytical Solution

The analytical solution for wind setup over a constant depth is given by

  (1)

where is the water surface elevation, is the water density, is the air density, is the gravitational acceleration, is the wind speed, is the water depth, and is a constant of integration.

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.

Results

Figure 1. Computed water surface elevation for the irregular domain with constant water depth.

Figure 2. Comparison of computed water surface elevation to the analytical solution for an irregular basin with constant depth.



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