CMS-Flow:Wave-current Interaction: Difference between revisions

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(Created page with '<big> == Wave-current Interaction == The characteristic velocities <math>c_x</math>, <math>c_y</math>, and <math>c_{\theta}</math> are calculated as <math>c_x = c_g \cos …')
 
(Created page with 'big == Wave-current Interaction == The characteristic velocities mathc_x/math, mathc_y/math, and mathc_{\theta}/math are calculated as mathc_x = c_g \cos …')
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<big>
big
== Wave-current Interaction ==
== Wave-current Interaction ==
The characteristic velocities  <math>c_x</math><math>c_y</math>, and <math>c_{\theta}</math> are calculated as
The characteristic velocities  mathc_x/math,  mathc_y/math, and mathc_{\theta}/math are calculated as


     <math>c_x = c_g \cos \theta + U</math>
     mathc_x = c_g \cos \theta + U/math
     <math>c_y = c_g \sin \theta + V</math>
     mathc_y = c_g \sin \theta + V/math
     <math>c_{\theta} = \frac{\sigma}{\sinh 2 k h}
     mathc_{\theta} = \frac{\sigma}{\sinh 2 k h}
\biggl( \sin \theta \frac{\partial h}{\partial x}  - \cos \theta \frac{\partial h}{\partialy } \biggr)
\biggl( \sin \theta \frac{\partial h}{\partial x}  - \cos \theta \frac{\partial h}{\partialy } \biggr)


  </math>
  /math


{| border="1"
{| border=1
! Symbol !! Description
! Symbol !! Description
|-
|-
| <math> \sigma </math> || Wave frequency  
| math \sigma /math || Wave frequency  
|-
|-
| <math> N </math> ||  Wave action  
| math N /math ||  Wave action  
|-
|-
| <math> E </math> ||  Spectral wave density
| math E /math ||  Spectral wave density
|-
|-
| <math> c </math> ||  Wave celerity
| math c /math ||  Wave celerity
|-
|-
| <math> c_g </math> || Wave group velocity
| math c_g /math || Wave group velocity
|}
|}


----
----
</big>
/big
[[CMS#Documentation_Portal | Documentation Portal]]
[[CMS#Documentation_Portal | Documentation Portal]]

Revision as of 22:30, 17 May 2010

big

Wave-current Interaction

The characteristic velocities mathc_x/math, mathc_y/math, and mathc_{\theta}/math are calculated as

    mathc_x = c_g \cos \theta + U/math
    mathc_y = c_g \sin \theta + V/math
    mathc_{\theta} = \frac{\sigma}{\sinh 2 k h}

\biggl( \sin \theta \frac{\partial h}{\partial x} - \cos \theta \frac{\partial h}{\partialy } \biggr)

/math
Symbol Description
math \sigma /math Wave frequency
math N /math Wave action
math E /math Spectral wave density
math c /math Wave celerity
math c_g /math Wave group velocity

/big Documentation Portal