Free-surface flow simulations for moored and floating offshore platforms

During the development of the ComFLOW simulation method many challenges have to be tackled concerning the flow modelling and the numerical solution algorithm. Examples hereof are wave propagation, absorbing boundary conditions, fluid–solid body interaction, turbulence modeling and numerical efficiency. Some of these challenges will be discussed in the paper, in particular the design of absorbing boundary conditions and the numerical coupling for fluid–solid body interaction. As a demonstration of the progress made, a number of simulation results for engineering applications from the offshore industry will be presented: a wave-making oscillating buoy, a free-fall life boat dropping into wavy water, and wave impact against a semi-submersible offshore platform. For those applications, MARIN has carried out several validation experiments.

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

[2]  Arthur Veldman,et al.  Turbulence modeling for locally-refined free-surface flow simulations in offshore applications , 2015 .

[3]  A. Veldman,et al.  Symmetry-preserving discretization of turbulent flow , 2003 .

[4]  P. R. Wellens,et al.  Wave Simulation in Truncated Domains for Offshore Applications , 2012 .

[5]  Rik Wemmenhove,et al.  Numerical simulation of two-phase flow in offshore environments , 2008 .

[6]  Arthur Veldman,et al.  Turbulence modeling for free-surface flow simulations in offshore applications , 2015 .

[7]  Roel Verstappen When Does Eddy Viscosity Damp Subfilter Scales Sufficiently? , 2011, J. Sci. Comput..

[8]  Peter van der Plas,et al.  Turbulence modeling, local grid refinement and absorbing boundary conditions for free-surface flow simulations in offshore applications. , 2014 .

[9]  Parviz Moin,et al.  Minimum-dissipation models for large-eddy simulation , 2015 .

[10]  Arthur Veldman,et al.  An absorbing boundary condition for free surface water waves , 2017 .

[11]  Marc Lefranc,et al.  CFD Simulation of Wave Run-Up on a Semi-Submersible and Comparison With Experiment , 2009 .

[12]  Arne Nestegård,et al.  Statistical Methods for Prediction of Characteristic Loads for Free Fall Lifeboats Based on CFD Screening Results , 2013 .

[13]  Daniel Appelö,et al.  Non-reflecting Boundary Conditions for Wave Propagation Problems , 2003 .

[14]  M.H.M. Ellenbroek,et al.  A modified SOR method for the poisson equation in unsteady free-surface flow calculations , 1985 .

[15]  B. Duz Wave Generation, Propagation and Absorption in CFD Simulations of Free Surface Flows , 2015 .

[16]  Arthur Veldman,et al.  Matched asymptotic expansions and the numerical treatment of viscous-inviscid interaction , 2001 .

[17]  Arthur Veldman,et al.  A simple interaction law for viscous–inviscid interaction , 2009 .

[18]  Arthur Veldman,et al.  A Volume-of-Fluid based simulation method for wave impact problems , 2005 .

[19]  Wybe Rozema Low-dissipation methods and models for the simulation of turbulent subsonic flow: Theory and applications , 2015 .

[20]  Robert L. Higdon,et al.  Absorbing boundary conditions for di erence approxima-tions to the multidimensional wave equation , 1986 .

[21]  Arthur Veldman,et al.  An Absorbing Boundary Condition for Regular and Irregular Wave Simulations , 2013 .

[22]  Weoncheol Koo,et al.  Freely floating-body simulation by a 2D fully nonlinear numerical wave tank , 2004 .

[23]  Arthur Veldman,et al.  The effect of different volume-of-fluid (VOF) methods on energy dissipation in simulations of propagating waves , 2013 .

[24]  D. Givoli Non-reflecting boundary conditions , 1991 .

[25]  Arthur Veldman,et al.  Adaptive Grid Refinement for Free-Surface Flow Simulations in Offshore Applications , 2015 .

[26]  Robert L. Higdon,et al.  Numerical absorbing boundary conditions for the wave equation , 1987 .

[27]  R. Higdon Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation , 1986 .

[28]  A. Sommerfeld Partial Differential Equations in Physics , 1949 .

[29]  A. Majda,et al.  Absorbing boundary conditions for the numerical simulation of waves , 1977 .

[30]  Arthur Veldman,et al.  A new, quasi-simultaneous method to calculate interacting boundary layers , 1980 .

[31]  T. Hagstrom Radiation boundary conditions for the numerical simulation of waves , 1999, Acta Numerica.

[32]  S. Tsynkov Numerical solution of problems on unbounded domains. a review , 1998 .

[33]  Peter van der Plas,et al.  Extreme Wave Impact on Offshore Platforms and Coastal Constructions , 2011 .

[34]  Peter van der Plas,et al.  Local grid refinement for free-surface flow simulations , 2017 .

[35]  Dong-Hyun Kim,et al.  The coupled dynamic response computation for a semi-submersible platform of floating offshore wind turbine , 2015 .

[36]  Roel Luppes,et al.  The numerical simulation of liquid sloshing on board spacecraft , 2007, J. Comput. Phys..

[37]  Jason Jonkman,et al.  The effects of second-order hydrodynamics on a semisubmersible floating offshore wind turbine , 2014 .

[38]  Arthur Veldman,et al.  Numerical simulation of hydrodynamic wave loading by a compressible two-phase flow method , 2015 .

[39]  D. Givoli High-order local non-reflecting boundary conditions: a review☆ , 2004 .

[40]  A.E.P. Veldman Matched asymptotic expansions and the numerical treatment of viscous-inviscid interaction , 2001 .

[41]  Arthur E. P. Veldman "Missing" Boundary Conditions? Discretize First, Substitute Next, and Combine Later , 1990, SIAM J. Sci. Comput..