Fluid-structure interaction simulation of the breaking wave slamming on an absorber for a wave-energy converter

Wave-energy converters that consist of several egg-shaped structures, the so-called absorbers, which move relative to a large floating platform are currently under development. The maximal stress in the wall of an absorber due to the impact of waves (horizontal or breaking wave slamming) is an important design parameter. This breaking wave slamming is here modelled as the impact of a deformable circular cylinder on a flat water surface. The fluid-structure interaction during this impact is simulated in a partitioned way which means that the flow equations and the structural equations are solved with separate codes. A finite volume flow solver with a Volume of Fluid model for the free surface is coupled with a finite element structural solver which is capable of simulating multi-layer composite materials. Coupling iterations between both solvers are performed using the IQN-ILS algorithm. Initially, the thin-walled circular cylinder made of 5 layers of a composite material has a downward velocity of 5m/s. The damage to the composite material due to the impact is assessed with the Tsai-Wu failure criterion in plane stress condition. Its maximal value is 0.25 so well below the limit of 1. In conclusion, the current design of a composite absorber for a wave-energy converter is not damaged by breaking wave slamming according to the fluid-structure interaction simulations.

[1]  J. Monaghan Simulating Free Surface Flows with SPH , 1994 .

[2]  S. Zaleski,et al.  Lattice-gas models of phase separation: interfaces, phase transitions, and multiphase flow , 1994 .

[3]  M. Heil An efficient solver for the fully-coupled solution of large-displacement fluid-structure interaction problems , 2004 .

[4]  S. Osher,et al.  Level set methods: an overview and some recent results , 2001 .

[5]  N. T. Asnani,et al.  Vibration and damping analysis of a multilayered cylindrical shell. I - Theoretical analysis , 1984 .

[6]  Hermann G. Matthies,et al.  Algorithms for strong coupling procedures , 2006 .

[7]  Jan Vierendeels,et al.  Stability of a coupling technique for partitioned solvers in FSI applications , 2008 .

[8]  L. G. Leal,et al.  Numerical solution of free-boundary problems in fluid mechanics. Part 2. Buoyancy-driven motion of a gas bubble through a quiescent liquid , 1984, Journal of Fluid Mechanics.

[9]  Joris Degroote,et al.  The Quasi-Newton Least Squares Method: A New and Fast Secant Method Analyzed for Linear Systems , 2009, SIAM J. Numer. Anal..

[10]  E. Oñate,et al.  The particle finite element method. An overview , 2004 .

[11]  van Eh Harald Brummelen,et al.  An interface Newton–Krylov solver for fluid–structure interaction , 2005 .

[12]  Charbel Farhat,et al.  Partitioned analysis of coupled mechanical systems , 2001 .

[13]  Alain Combescure,et al.  Modeling accidental-type fluid-structure interaction problems with the SPH method , 2009 .

[14]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[15]  D. Dinkler,et al.  Fluid-structure coupling within a monolithic model involving free surface flows , 2005 .

[16]  C. Blommaert,et al.  Design of composite material for cost effective large scale production of components for floating offshore structures , 2008 .

[17]  C. Antoci,et al.  Numerical simulation of fluid-structure interaction by SPH , 2007 .

[18]  W. Rider,et al.  Reconstructing Volume Tracking , 1998 .

[19]  Robert Banasiak,et al.  Performance of a point absorber heaving with respect to a floating platform , 2007 .

[20]  N. T. Asnani,et al.  Vibration and Damping Analysis of a Multilayered Cylindrical Shell, Part 11: Numerical Results , 1984 .

[21]  P. Tallec,et al.  Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity , 1998 .

[22]  K. Bathe,et al.  Performance of a new partitioned procedure versus a monolithic procedure in fluid-structure interaction , 2009 .

[23]  O. Faltinsen,et al.  Water impact of horizontal circular cylinders and cylindrical shells , 2006 .

[24]  Stephen W. Tsai,et al.  A General Theory of Strength for Anisotropic Materials , 1971 .

[25]  Alexander Korobkin,et al.  Water impact on cylindrical shells. , 1999 .

[26]  E. Ramm,et al.  Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows , 2007 .

[27]  Jan Vierendeels,et al.  Stability analysis of Gauss-Seidel iterations in a partitioned simulation of fluid-structure interaction , 2010 .

[28]  A. Colagrossi,et al.  Numerical simulation of interfacial flows by smoothed particle hydrodynamics , 2003 .

[29]  Fabio Nobile,et al.  Added-mass effect in the design of partitioned algorithms for fluid-structure problems , 2005 .

[30]  Hester Bijl,et al.  Review of coupling methods for non-matching meshes , 2007 .

[31]  Jan Vierendeels,et al.  Implicit coupling of partitioned fluid-structure interaction problems with reduced order models , 2007 .

[32]  E. Oñate,et al.  Interaction between an elastic structure and free-surface flows: experimental versus numerical comparisons using the PFEM , 2008 .