This contribution presents our recent progress on developing an efficient solution for fully nonlinear wave-structure interaction. The approach is to solve directly the three-dimensional (3D) potential flow problem. The time evolution of the wave field is captured by integrating the free-surface boundary conditions using a fourth-order Runge-Kutta scheme. A coordinate-transformation is employed to obtain a time-constant spatial computational domain which is discretized using arbitrary-order finite difference schemes on a grid with one stretching in each coordinate direction. The resultant linear system of equations is solved by the GMRES iterative method, preconditioned using a multigrid solution to the linearized, lowest-order version of the matrix. The computational effort and required memory use are shown to scale linearly with increasing problem size (total number of grid points). Preliminary examples of nonlinear wave interaction with variable bottom bathymetry and simple bottom mounted structures are given.
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ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering
June 15–20, 2008
Estoril, Portugal
Conference Sponsors:
- Ocean, Offshore and Arctic Engineering Division
ISBN:
978-0-7918-4823-4
PROCEEDINGS PAPER
Efficient Solution of the 3D Laplace Problem for Nonlinear Wave-Structure Interaction
Harry B. Bingham,
Harry B. Bingham
Technical University of Denmark, Lyngby, Denmark
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Allan P. Engsig-Karup
Allan P. Engsig-Karup
Technical University of Denmark, Lyngby, Denmark
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Harry B. Bingham
Technical University of Denmark, Lyngby, Denmark
Allan P. Engsig-Karup
Technical University of Denmark, Lyngby, Denmark
Paper No:
OMAE2008-57384, pp. 209-217; 9 pages
Published Online:
July 27, 2009
Citation
Bingham, HB, & Engsig-Karup, AP. "Efficient Solution of the 3D Laplace Problem for Nonlinear Wave-Structure Interaction." Proceedings of the ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering. Volume 6: Nick Newman Symposium on Marine Hydrodynamics; Yoshida and Maeda Special Symposium on Ocean Space Utilization; Special Symposium on Offshore Renewable Energy. Estoril, Portugal. June 15–20, 2008. pp. 209-217. ASME. https://doi.org/10.1115/OMAE2008-57384
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