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Dispersion relationship for water waves

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Dispersion relationship for water waves

by Gabriel Ruiz

 

04 May 2009

This script computes the dispersion relationship for water waves

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Description

With this function, you can get the value of L (wavelength), k (wave number), sigma(angular frequency), using different solutions of the dispersion relationship.
Inputs:
           h = deep water (m)
           T = wave period (s)
Outputs:
            kr = wave number with Newton-Rhapson (1/m)
            Lr = wavelength with Newton-Rhapson (m)
            sigma = angular frequency (1/T)
Syntax :
            [Lr,kr,sigma]=disper(h,T)
Example: [Lr,kr,sigma]=disper(3.05,5)
Notes:
In the command window you can see the different values which were computed, using different equations.
Referents:
Fenton,J.D and Mckee,W.D.(1990). On calculating the lengths
          of water waves. Coastal Engineering 14, 499-513p.

MATLAB release MATLAB 7.6 (R2008a)
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physics Gabriel Ruiz 05 May 2009 09:25:15
earth science Gabriel Ruiz 05 May 2009 09:25:15
waves Gabriel Ruiz 05 May 2009 09:25:15

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