NUMERICAL SIMULATION OF INTERACTIONS BETWEEN WATER WAVES AND A MOORED-FLOATING BREAKWATER
AbstractFloating breakwaters offer a cost-efficient alternative to common emerged rubble mound breakwaters in deep water coastal areas or harbors with poor seabed conditions. Often, simple box type structures with a suitable mooring system are considered. The motion of the moored box and the resulting tension forces in the cables have to be known during the design process. The accurate determination of these properties is therefore of high significance to produce a safe and economical design. In this paper, a numerical model for determining the influence of the mooring system on the floating body dynamics is developed and incorporated into the opensource CFD solver REEF3D.
O. Aamo and T. Fossen. Finite Element Modelling of Moored Vessels. Mathematical and Computer Modelling of Dynamical Systems, Volume 7(1):47-75, 2001.
N. Ahmad, H. Bihs, D. Myrhaug, A. Kamath, and Ø. A. Arntsen. Three-dimensional numerical modelling of wave-induced scour around piles in a side-by-side arrangement. Coastal Engineering, Volume 138: 132-151, 2018.
H. Bihs and A. Kamath. A combined level set/ghost cell immersed boundary representation for floating body simulations. Int. J. Numer. Meth. Fluids, Volume 83:905-916, 2017.
H. Bihs, A. Kamath, M. A. Chella, A. Aggarwal, and Ø. Arntsen. A new level set numerical wave tank with improved density interpolation for complex wave hydrodynamics. Computers & Fluids, Volume 140: 191-208, 2016.
A. Chorin. Numerical solution of the Navier-Stokes equations. Mathematics of Computation, Volume 22: 745-762, 1968.
O. Faltinsen. Sea Loads on Ships and O shore Structures. Cambridge University Press, Cambridge, 1990.
T. Fossen. Guidance and Control of Ocean Vehicles. John Wiley & Sons: Chichester, England, 1994.
E. Grotle, H. Bihs, and V. Æsøy. Experimental and numerical investigation of sloshing under roll excitation at shallow liquid depths. Ocean Engineering, Volume 138:73-85, 2017.
W. Hackmann. Mathematische Begrundung von Verfahren zur Berechnung von Form und Zugkraft in Fadenzugsystemen. ZAMM, Volume 63:173-184, 1983.
M. Hall and A. Goupee. Validation of a lumped-mass mooring line model with DeepCwind semisubmersible model test data. Ocean Engineering, Volume 104:590-603, 2015.
S. Huang. Dynamic analysis of three-dimensional marine cables. Ocean Engineering, Volume 21:587-605, 1994.
G. Jiang and D. Peng. Weighted ENO schemes for Hamilton Jacobi equations. SIAM Journal of Scientific Computing, Volume 21:2126-2143, 2000.
G. Jiang and C. Shu. Efficient implementation of weighted ENO schemes. Journal of Computational Physics, Volume 126(1):202-228, 1996.
A. Kamath, M. A. Chella, H. Bihs, and Ø. Arntsen. Energy transfer due to shoaling and decomposition of breaking and non-breaking waves over a submerged bar. Engineering Applications of Computational Fluid Mechanics, Volume 11 (1):450-466, 2017.
A. Kamath, M. A. Chella, H. Bihs, and Ø. A. Arntsen. Evaluating wave forces on groups of three and nine cylinders using a 3D numerical wave tank. Engineering Applications of Computational Fluid Mechanics, Volume 9:343-354, 2015.
A. Kamath, H. Bihs, and Ø. A. Arntsen. Study of Water Impact and Entry of a Free Falling Wedge Using Computational Fluid Dynamics Simulations. J. O shore Mech. Arct. Eng., Volume 139(3), 2017a.
A. Kamath, M. A. Chella, H. Bihs, and Ø. A. Arntsen. Energy transfer due to shoaling and decomposition of breaking and non-breaking waves over a submerged bar. Engineering Applications of Computational Fluid Mechanics, Volume 11(1):450-466, 2017b.
H. Leitzke. Berechnung von Form und Kräften biegeschlaffer, räumlicher Zugsysteme. Ph.D. thesis, University of Rostock, 1983.
S. Osher and J. Sethian. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics, Volume 79:12-49, 1988.
B. Ren, M. He, P. Dong, and H. Wen. Nonlinear simulations of wave-induced motions of a freely floating body using WCSPH method. Applied Ocean Research, Volume 50:1-12, 2015.
C. Shu and S. Osher. Efficient implementation of essentially non-oscillatory shock-capturing schemes. Journal of Computational Physics, Volume 77(2):439-471, 1988.
M. Sussman, P. Smereka, and S. Osher. A level set approach for computing solutions to incompressible two-phase flow. Journal of Computational Physics, Volume 114:146-159, 1994.
H. van der Vorst. BiCGStab: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM Journal of Scientific Computing, Volume 13:631-644, 1992.
L. Yang. One-fluid formulation for fluid-structure interaction with free surface. Computer Methods in Applied Mechanics and Engineering, Volume 332:102-135, 2018.
J. Zhang and T. L. Jackson. A high-order incompressible flow solver with WENO. Journal of Computational Physics, Volume 228:146-159, 2009.