Abstract
Diffraction and radiation forces result from the interaction between the ship hull and the moving fluid. These forces are typically simulated using added masses, a method that uses mass to compensate for not computing these forces directly. In this paper we propose simple mathematical model to compute diffraction force. The model is based on Lagrangian description of the flow and uses law of reflection to include diffraction term in the solution. The solution satisfies continuity equation and equation of motion, but is restricted to the boundary of the ship hull. The solution was implemented in velocity potential solver in Virtual testbed—a programme for workstations that simulates ship motions in extreme conditions. Performance benchmarks of the solver showed that it is particularly efficient on graphical accelerators.
Supported by Saint Petersburg State University (grants no. 51129371 and 51129725) and Council for grants of the President of the Russian Federation (grant no. MK-383.2020.9).
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Notes
- 1.
Initially, we included the third component of incident wave direction making the vector complex-valued, however, the solution blew up as a result of mixing real and imaginary parts in dot products involving complex-valued vectors. The problem was solved by reflecting in two dimensions which is intuitive for ocean waves, but not for particles.
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Acknowledgements
Research work is supported by Saint Petersburg State University (grants no. 51129371 and 51129725) and Council for grants of the President of the Russian Federation (grant no. MK-383.2020.9).
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Petriakov, I. et al. (2020). Virtual Testbed: Simulation of Ocean Wave Reflection from the Ship Hull. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2020. ICCSA 2020. Lecture Notes in Computer Science(), vol 12254. Springer, Cham. https://doi.org/10.1007/978-3-030-58817-5_3
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DOI: https://doi.org/10.1007/978-3-030-58817-5_3
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