An efficient fully Lagrangian solver for modeling wave interaction with oscillating wave energy converter

In this paper, we present an efficient, accurate and fully Lagrangian numerical solver for modeling wave interaction with oscillating wave energy converter (OWSC). The key idea is to couple SPHinXsys, an open-source multi-physics library in unified smoothed particle hydrodynamic (SPH) framework, with Simbody which presents an object-oriented Application Programming Interface (API) for multi-body dynamics. More precisely, the wave dynamics and its interaction with OWSC is resolved by Riemann-based weakly-compressible SPH method using SPHinXsys, and the solid-body kinematics is computed by Simbody library. Numerical experiments demonstrate that the proposed solver can accurately predict the wave elevations, flap rotation and wave loading on the flap in comparison with laboratory experiment. In particularly, the new solver shows optimized computational performance through CPU cost analysis and comparison with commercial software package ANSYS FLUENT and other SPH-based solvers in literature. Furthermore, a linear damper is applied for imitating the power take-off (PTO) system to study its effects on the hydrodynamics properties of OWSC and efficiency of energy harvesting. In addition, the present solver is used to model extreme wave condition using the focused wave approach to investigate the extreme loads and motions of OWSC under such extreme wave conditions. It worth noting that though the model validation used herein is a bottom hinged oscillating Wave Energy Converter (WEC), the obtained numerical results show promising potential of the proposed solver to future applications in the design of high-performance WECs.

[1]  Larry D. Libersky,et al.  Smooth particle hydrodynamics with strength of materials , 1991 .

[2]  C. G. Koh,et al.  Shared-Memory parallelization of consistent particle method for violent wave impact problems , 2017 .

[3]  Corrado Altomare,et al.  Floating Moored Oscillating Water Column With Meshless SPH Method , 2018, Volume 11B: Honoring Symposium for Professor Carlos Guedes Soares on Marine Technology and Ocean Engineering.

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

[5]  Nikolaus A. Adams,et al.  A weakly compressible SPH method with WENO reconstruction , 2019, J. Comput. Phys..

[6]  Chi Zhang,et al.  Dual-criteria time stepping for weakly compressible smoothed particle hydrodynamics , 2019, J. Comput. Phys..

[7]  J. Morris,et al.  Modeling Low Reynolds Number Incompressible Flows Using SPH , 1997 .

[8]  A. Daya,et al.  Hydrodynamic Modelling of Marine Renewable Energy Devices : A State of the Art Review , 2015 .

[9]  Pal Schmitt,et al.  On the use of OpenFOAM to model Oscillating wave surge converters , 2015 .

[10]  Chi Zhang,et al.  SPHinXsys: An open-source meshless, multi-resolution and multi-physics library , 2020, Softw. Impacts.

[11]  S. Shao,et al.  Development of a projection-based SPH method for numerical wave flume with porous media of variable porosity , 2018, Coastal Engineering.

[12]  Nikolaus A. Adams,et al.  A multi-phase SPH method for macroscopic and mesoscopic flows , 2006, J. Comput. Phys..

[13]  Nikolaus A. Adams,et al.  A generalized transport-velocity formulation for smoothed particle hydrodynamics , 2017, J. Comput. Phys..

[14]  Jianmin Yang,et al.  Numerical simulation of deterministic freak wave sequences and wave-structure interaction , 2016 .

[15]  John Ringwood,et al.  Mathematical modelling of wave energy converters: A review of nonlinear approaches , 2017 .

[16]  Mehdi Raessi,et al.  Enhancing power extraction in bottom-hinged flap-type wave energy converters through advanced power take-off techniques , 2019, Ocean Engineering.

[17]  Abbas Khayyer,et al.  On the state-of-the-art of particle methods for coastal and ocean engineering , 2018 .

[18]  F. Dias,et al.  Resonant behaviour of an oscillating wave energy converter in a channel , 2012, Journal of Fluid Mechanics.

[19]  Billy L. Edge,et al.  Modeling of wave energy converters by GPUSPH and Project Chrono , 2019, Ocean Engineering.

[20]  L. Lucy A numerical approach to the testing of the fission hypothesis. , 1977 .

[21]  J. Monaghan SPH without a Tensile Instability , 2000 .

[22]  António F.O. Falcão,et al.  Wave energy utilization: A review of the technologies , 2010 .

[23]  Trevor Whittaker,et al.  The Characteristics of Wave Impacts on an Oscillating Wave Surge Converter , 2013 .

[24]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[25]  Stephen M. Longshaw,et al.  DualSPHysics: Open-source parallel CFD solver based on Smoothed Particle Hydrodynamics (SPH) , 2015, Comput. Phys. Commun..

[26]  E. Renzi,et al.  Hydrodynamics of the oscillating wave surge converter in the open ocean , 2012, 1210.1149.

[27]  Piecewise Polynomial , 2014, Computer Vision, A Reference Guide.

[28]  Bin Teng,et al.  Free-surface evolution and wave kinematics for nonlinear uni-directional focused wave groups , 2009 .

[29]  Nikolaus A. Adams,et al.  A weakly compressible SPH method based on a low-dissipation Riemann solver , 2017, J. Comput. Phys..

[30]  Matthew Folley,et al.  The design of small seabed-mounted bottom-hinged wave energy converters , 2007 .

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

[32]  Holger Wendland,et al.  Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree , 1995, Adv. Comput. Math..

[33]  Dominic E. Reeve,et al.  Consistent Particle Method simulation of solitary wave impinging on and overtopping a seawall , 2019, Engineering Analysis with Boundary Elements.

[34]  Frédéric Dias,et al.  Slamming: Recent Progress in the Evaluation of Impact Pressures , 2018 .

[35]  Murray Rudman,et al.  Comparative study on the accuracy and stability of SPH schemes in simulating energetic free-surface flows , 2012 .

[36]  Xiangyu Hu,et al.  SPHinXsys: An open-source multi-physics and multi-resolution library based on smoothed particle hydrodynamics , 2020, Comput. Phys. Commun..

[37]  A. Henry,et al.  The development of Oyster - a shallow water surging wave energy converter , 2007 .

[38]  Chi Zhang,et al.  A multi-resolution SPH method for fluid-structure interactions , 2019, J. Comput. Phys..

[39]  Dong Wu,et al.  An integrative smoothed particle hydrodynamics framework for modeling cardiac function , 2020, ArXiv.

[40]  Frédéric Dias,et al.  Numerical Simulation of Wave Interaction With an Oscillating Wave Surge Converter , 2013 .

[41]  Sarah Gallagher,et al.  Analytical and computational modelling for wave energy systems: the example of oscillating wave surge converters , 2017, Acta Mechanica Sinica.

[42]  Alan Henry,et al.  Wave interaction with an Oscillating Wave Surge Converter. Part II: Slamming☆ , 2016 .

[43]  Hitoshi Gotoh,et al.  Wave Impact Pressure Calculations by Improved SPH Methods , 2009 .

[44]  Alan Henry,et al.  Wave interaction with an oscillating wave surge converter, Part I: Viscous effects , 2015 .

[45]  Rui M. L. Ferreira,et al.  A numerical tool for modelling oscillating wave surge converter with nonlinear mechanical constraints , 2020 .