Roller: Difference between revisions

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         {{Equation| <math> \frac{\partial (c_j S_r) }{\partial x_j} = -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>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.
where <math>c_j</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 which determines how much wave energy dissipation that goes into the roller (default 1).
 
The propagation velocities are determines as
        {{Equation| <math> c_j=c*k_j/k+u_j </math>|2=2}}


== References ==
== References ==

Revision as of 18:54, 10 September 2010

Surface Roller Model in CMS - UNDER CONSTRUCTION

Governing Equation

The surface roller model is simulated as

  ∂(cjSr)∂xj=−Dr+feDw (1)

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

The propagation velocities are determines as

  cj=c*kj/k+uj (2)

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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