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_j S_r) }{\partial x_j} = -D_r + f_e D_w </math>|2=1}}
         {{Equation| <math> \frac{\partial (S_r c \cos( \theta ) ) }{\partial x_j} = -D_r + f_e D_w </math>|2=1}}


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).
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).

Revision as of 18:45, 12 September 2010

Surface Roller Model in CMS - UNDER CONSTRUCTION

Governing Equation

The surface roller model is simulated as

  (1)

where 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 which determines how much wave energy dissipation that goes into the roller (default 1).

The propagation velocities are determines as

  (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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