This paper describes the implementation and application of a Quadratic Boundary Element Method (QBEM) to the 3-D, time domain potential flow solution of ship-wave hydrodynamic interaction problems. In QBEM, the geometry, singularity, and solution distributions on each panel are represented by bi-quadratic parametric functions defined by nine nodal values. QBEM has been shown to provide many theoretical advantages in accuracy and convergence versus the more conventional Constant Panel Method (CPM), but its application to real ship flow problems presents many challenges. This paper describes the implementation of QBEM into an existing time-domain ship motion and wave load prediction code, the Large Amplitude Motions Program (LAMP), and identifies and addresses some important numerical issues related to QBEM, such as mismatched grid points between neighboring panels, surface normal calculation on degenerate QBEM panels, the stability of the free surface and the solution and treatment of QBEM panels for body-nonlinear calculations. A number of practical cases are provided to compare QBEM with CPM and to validate QBEM against analytical solutions and experiments. The advantages of using QBEM for ship hydrodynamic problems and associated/unresolved numerical issues are also discussed.
- Ocean, Offshore and Arctic Engineering Division
Application of a Quadratic Boundary Element Method to Ship Hydrodynamic Problems
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Zhang, S, Weems, KM, Lin, W, Yan, H, & Liu, Y. "Application of a Quadratic Boundary Element Method to Ship Hydrodynamic Problems." 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. 123-133. ASME. https://doi.org/10.1115/OMAE2008-57187
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