Flow over a bump: Difference between revisions

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== Setup ==
== Setup ==
The spatial domain consists of a rectangular  
The spatial domain consists of a rectangular  
     {{Equation| <math> z_b = \begin{pmatrix} 0 & \forall x<8m \\ 0.2-0.05(x-10)^2 & \forall 8 \leq x \leq 12 \\ 0 & \forall x>12 \end{pmatrix} </math> |2=1}}
     {{Equation| <math> z_b = \begin{cases}
0   \forall x<8m \\  
0.2-0.05(x-10)^2 \forall 8 \leq x \leq 12 \\  
0 \forall x>12  
\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>\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.

Revision as of 23:09, 14 December 2010

UNDER CONSTRUCTION

Setup

The spatial domain consists of a rectangular

  (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.



Test Cases

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