Roller: Difference between revisions

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== Governing Equation ==
== Governing Equation ==
The surface roller model is simulated as
The surface roller model is simulated as
        {{Equation| <math> \frac{\partial ( c S_r  \cos \theta ) }{\partial x }+\frac{\partial ( c S_r  \sin \theta ) }{\partial y } = -D_r + f_e D_w </math>|2=1}}


        {{Equation| <math> \frac{\partial (c_j S_r) }{\partial x_j} = -D_r + f_e D_w </math>|2=1}}
where <math> S_r </math> is the roller energy,  <math> c =\sqrt{g h }</math> are the roller propagation velocities, <math>D_r</math> is the roller dissipation, <math>D_w</math> is the wave dissipation (from CMS-Wave), and  <math>f_e</math> is an efficiency factor between 0 and 1 (default 1) which determines how much wave energy dissipation that goes into the roller.
 
where <math>h</math> is the total water depth (<math> h = \zeta + \eta </math>), <math>C_t</math> is the total load concentration, <math>C_{t*} </math> is the sediment transport capacity, <math>\beta _t</math> is the total load correction factor, <math> \nu _s </math> is the diffusion coefficient, <math>r_s</math> is the fraction of suspended sediments, <math>\alpha_t</math> is the total load adaptation coefficient, and <math>\omega_s</math> is the sediment fall velocity.


== References ==
== References ==

Latest revision as of 18:49, 12 September 2010

Surface Roller Model in CMS - UNDER CONSTRUCTION

Governing Equation

The surface roller model is simulated as

  (1)

where is the roller energy, are the roller propagation velocities, is the roller dissipation, is the wave dissipation (from CMS-Wave), and is an efficiency factor between 0 and 1 (default 1) which determines how much wave energy dissipation that goes into the roller.

References

Buttolph, A. M., C. W. Reed, N. C. Kraus, N. Ono, M. Larson, B. Camenen, H. Hanson, T. Wamsley, and A. K. Zundel. (2006). “Two-dimensional depth-averaged circulation model CMS-M2D: Version 3.0, Report 2: Sediment transport and morphology change.” Coastal and Hydraulics Laboratory Technical Report ERDC/CHL TR-06-9. Vicksburg, MS: U.S. Army Engineer Research and Development Center, U.S.A.

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