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

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- \cos \theta \sin \theta \frac{\partial V}{\partial y}  
- \cos \theta \sin \theta \frac{\partial V}{\partial y}  
  </math>
  </math>
The dispersion relationships between the relative angular frequency σ, the absolute angular frequency ω, the wave number vector k, and the current velocity vector U = U2 +V2 are (Jonsson 1990)


{| border="1"
{| border="1"
! Symbol !! Description
! Symbol !! Description
|-
| <math> c </math> ||  Wave celerity
|-
| <math> c_g </math> || Wave group velocity
|-
|-
| <math> \sigma </math> || Wave frequency  
| <math> \sigma </math> || Wave frequency  
|-
|-
| <math> N </math> ||  Wave action
| <math> E </math> ||  Spectral wave density
|-
|-
| <math> E </math> ||  Spectral wave density
| <math> k </math> ||  Wave number
|-
| <math> h </math> ||  Total water depth
|-
|-
| <math> c </math> ||  Wave celerity
| <math> U </math> ||  Depth-averaged current velocity in x-direction
|-
|-
| <math> c_g </math> || Wave group velocity
| <math> V </math> || Depth-averaged current velocity in y-direction
|}
|}



Revision as of 22:35, 17 May 2010

Wave-current Interaction

The characteristic velocities , , and are calculated as

    
    
    

The dispersion relationships between the relative angular frequency σ, the absolute angular frequency ω, the wave number vector k, and the current velocity vector U = U2 +V2 are (Jonsson 1990)


Symbol Description
Wave celerity
Wave group velocity
Wave frequency
Spectral wave density
Wave number
Total water depth
Depth-averaged current velocity in x-direction
Depth-averaged current velocity in y-direction

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