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Wiggle-free Finite Element Model for extended Boussinesq equations  

Woo, Seung-Buhm (Department of Ocean Science, Inha University)
Choi, Young-Kwang (Department of Coastal Oceanography and Engineering, GeoSystem Research Corporation)
Gonzalez-Ondina, Jose M. (School of Civil & Environmental Engineering, Cornell University)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.22, no.1, 2010 , pp. 47-57 More about this Journal
Abstract
Subgrid scale stabilization method is applied to Woo and Liu(2004)'s extended Boussinesq FEM numerical model to eliminate the 2dx wiggles. In order to optimize the computational efficiency, Hessian operator is introduced and the matrix of velocity vector is combined to one matrix for solving matrix equations. The mass lumping technique is also applied to the matrix equations of auxiliary variables. The newly developed code is applied to simulate Vincent and Briggs(1989)' wave transformation experiments and the results show that the numerical solution is almost wiggle-free and it matches very well with experimental data. Due to improvement of computational efficiency and wiggle reduction, it is plausible to apply this model to a realistic problem such as harbor oscillation problems.
Keywords
extended Boussinesq FEM numerical model; subgrid scale stabilization method; Hessian operator; mass lumping technique; Vincent and Briggs(1989) wave transformation;
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