Roller

Surface Roller Model in CMS - UNDER CONSTRUCTION

Governing Equation

The surface roller model is simulated as

${\frac {\partial (cS_{r}\cos \theta )}{\partial x}}+{\frac {\partial (cS_{r}\sin \theta )}{\partial y}}=-D_{r}+f_{e}D_{w}$

(1)

where $S_{r}$ is the roller energy, $c={\sqrt {gh}}$ 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 (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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