Coastal Modeling System: Mathematical Formulations and Numerical Methods
ENGINEER RESEARCH AND DEVELOPMENT CENTER VICKSBURG MS COASTAL AND HYDRAULICS LAB
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The Coastal Modeling System CMS is an integrated numerical modeling system for simulating nearshore waves, currents, water levels, salinity and sediment transport, and morphology change. The CMS was designed and developed for coastal inlets and navigation applications, including channel performance and sediment exchange between inlets and adjacent beaches. The present report provides an updated description of the mathematical formulations and numerical methods of hydrodynamic, salinity and sediment transport, and morphology change model CMS-Flow. The CMS-Flow uses the Finite Volume Method on Cartesian grids and has both fully explicit and fully implicit time stepping schemes. A detailed description of the explicit time stepping scheme was provided in Militello et al. 2004 and Buttolph et al. 2006. The present report focuses on the recent changes in the mathematical formulations, and the implicit time stepping schemes. The CMS-Wave and CMS-Flow models are tightly coupled within a single inline code. The CMS-Wave and CMS-Flow grids may be the same or have different spatial extents and resolutions. The hydrodynamic model includes physical processes such as advection, turbulent mixing, combined wave-current bottom friction wave mass flux wind, atmospheric pressure, wave, river, and tidal forcing Coriolis force and the influence of coastal structures. The implicit hydrodynamic model is coupled to a nonequilibrium transport model of multiple-sized total-load sediments. The model includes physical processes such as hiding and exposure, bed sorting and gradation, bed slope effects, nonerodible surfaces, and avalanching.
- Physical and Dynamic Oceanography
- Hydrology, Limnology and Potamology
- Numerical Mathematics
- Fluid Mechanics