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).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
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.
References
Fenton, J.D.: Wave forces on vertical bodies of revolution. J. Fluid Mech. 85(2), 241–255 (1978). https://doi.org/10.1017/S0022112078000622
Fenton, J.D.: A spectral method for diffraction problems. In: Proceedings of International Symposium on Waves - Physical and Numerical Modelling, pp. 961–970. The University of British Columbia, Vancouver (1994)
Fenton, J.D., et al.: Simulating wave shoaling with boundary integral equations. In: 11th Australasian Conference on Coastal and Ocean Engineering: Coastal Engineering a Partnership with Nature; Preprints of Papers, p. 71. Institution of Engineers, Australia (1993)
Nouguier, F., Chapron, B., Guérin, C.A.: Second-order Lagrangian description of tri-dimensional gravity wave interactions. J. Fluid Mech. 772, 165–196 (2015). https://doi.org/10.1017/jfm.2015.179
Wackers, J., et al.: Free-surface viscous flow solution methods for ship hydrodynamics. Arch. Comput. Meth. Eng. 18(1), 1–41 (2011). https://doi.org/10.1007/s11831-011-9059-4
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).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-030-58817-5_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-58816-8
Online ISBN: 978-3-030-58817-5
eBook Packages: Computer ScienceComputer Science (R0)