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| Title: | Quasi-3D Nearshore Circulation Equations: a CL-Vortex Force Formulation | |
| DOI No: | 10.1142/9789812709554_0088 | |
| Source: | COASTAL ENGINEERING 2006 (pp 1028-1039) | |
| Author(s): | Fengyan Shi
Center for Applied Coastal Research, University of Delaware, Newark, DE 19716, USA James T. Kirby Center for Applied Coastal Research, University of Delaware, Newark, DE 19716, USA Kevin Haas Department of Civil and Environmental Engineering, Georgia Tech, Savannah, GA 31407, USA |
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| Abstract: | We formulate a CL-vortex form of surface wave force for a quasi-3D nearshore circulation model. The CL-vortex force formulation is obtained by applying surface wave equations to depth-integrated and wave-averaged momentum equations. A new splitting algorithm of current velocity is used to facilitate the application of wave equations to the wave-averaged equations. The derivation shows that the CL-vortex term arises from both the wave refraction by current shear and the wave-current interaction shown in the radiation stress type momentum equations. In the vertical direction, the equation governing the vertical structure of current velocity is driven by a surface stress related to wave dissipation. Numerical tests show the CL-vortex formulation performs identically with the radiation stress formulation in modeling of rip currents. However, without fully coupling of wave and current models, the CL-vortex formulation gives a more reasonable result than the radiation stress formulation does. | |
| Full Text: | View full text in PDF format (984KB) | |
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