BEM modeling of surface water wave motion with laminar boundary layers |
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| Affiliation: | 1. Department of Civil, Environmental, and Geo-Engineering, St. Anthony Falls Laboratory, National Center for Earth-Surface Dynamics, University of Minnesota, Minneapolis, MN, USA;2. Department of Civil and Environmental Engineering, University of California, Irvine, CA, USA;1. INRA, UR0272 Unité de Science du Sol, 2163 Avenue de la Pomme de Pin CS 40001 Ardon, F-45075 Orléans Cedex 2, France;2. Université François-Rabelais de Tours, EA 6293 GéHCO, Faculté des Sciences et Techniques, Parc de Grandmont, F-37200 Tours, France |
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| Abstract: | This study is concerned with numerical modeling of viscous surface wave motion using boundary element method (BEM). The equations of motion for thin boundary layers at the solid surfaces are coupled with the potential flow in the bulk of the fluid, and a mixed BEM-finite difference technique is used to obtain the viscosity-related quantities such as wave damping rate, shear stress, and velocity distribution inside the boundary layer. The technique is presented for standing surface wave motion. An excellent agreement is obtained between the numerical predictions and the previous results. The extension to other free surface problems is straightforward. |
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