Long-wave Runup: Difference between revisions

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<font color=red>'''UNDER  CONSTRUCTION'''</font>
<font color=red>'''UNDER  CONSTRUCTION'''</font>
== Analytical Solution ==
== Overview ==
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.  
== Initial Condition ==
[[Image:Long-wave_Runup_Initial_Water_Level.png|thumb|left|600px|  Figure 1. Computed water surface elevation for the irregular domain with  constant water depth.]]


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== 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.  
 
== Initial Condition ==
[[Image:Long-wave_Runup_Initial_Water_Level.jpg|thumb|left|600px|  Figure 1. Computed water surface elevation for the irregular domain with  constant water depth.]]


== Results ==
== Results ==
‎[[Image:Long-wave_Runup_Water_Level.jpg|thumb|none|600px| Figure 2. Comparison of computed water surface elevation to the analytical solution for an irregular basin with constant depth.]]
‎[[Image:Long-wave_Runup_Water_Level.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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<br  style="clear:both" />
== References ==
== References ==



Revision as of 00:01, 14 January 2011

UNDER CONSTRUCTION

Overview

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.

Initial Condition

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


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


References


Test Cases

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