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 η is the water surface elevation, ρ is the water density, ρa is the air density, g is the gravitational acceleration, W is the wind speed, h is the water depth, and C 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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