Roller

Surface Roller Model in CMS - UNDER CONSTRUCTION

Governing Equation

The surface roller model is simulated as

${\frac {\partial (c_{j}S_{r})}{\partial x_{j}}}=-D_{r}+f_{e}D_{w}$

(1)

where $c_{j}$ are the roller propagation velocities, $D_{r}$ is the roller dissipation, $D_{w}$ is the wave dissipation (from CMS-Wave), and $f_{e}$ 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

$c_{j}=c{\frac {k_{j}}{k}}+u_{j}$

(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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