Simulation of fluid-structure interaction for surface ships with linear/nonlinear deformations

The present research develops a numerical fluid–structure interaction (FSI) code based on CFDShip-Iowa version 4, a general-purpose URANS/DES overset fluid solver. Linear and nonlinear FSI methods are developed to compute structural responses on surface ships or marine structures. The modal superposition transient analysis and the nonlinear FEM structure solver are used for small and large deformation FSI problems, respectively. The gluing method is applied to transfer the forces and displacements on nonmatching grids for fluid and structure domains. The linear FEM solver is applied to deform the boundary layer grid with large deformation in the fluid domain, while the deformation is ignored in small deformation problems. Deformation of an interior point in the boundary layer grid is obtained using linear interpolation in both linear and nonlinear deformation problems. The S175 containership is studied in regular waves as an application example for the linear problem. Heave and pitch responses are compared with the experiments, showing good agreement. Time histories of vertical bending moment (VBM) are calculated using rigid model, one-way coupling, and two-way coupling approaches. The elastic models are able to capture the ringing of the VBM induced by slamming, while the rigid model shows a peak at the moment of slamming without further fluctuations. The two-way coupling method shows the effects of hull deformation on the amplitude and phase of VBM as well as the accelerations of heave and pitch. For the nonlinear deformation problem three sloshing tanks with an elastic bar clamped to its bottom or top are simulated and compared with the experiments and other

[1]  S. Koshizuka,et al.  Moving-Particle Semi-Implicit Method for Fragmentation of Incompressible Fluid , 1996 .

[2]  John M. Niedzwecki,et al.  Dynamic Response of a Single Flexible Cylinder in Waves , 1995 .

[3]  C. Guedes Soares,et al.  Experimental study of slam-induced stresses in a containership , 2000 .

[4]  Yong Zhao,et al.  A matrix-free implicit unstructured multigrid finite volume method for simulating structural dynamics and fluid-structure interaction , 2007, J. Comput. Phys..

[5]  Rolf Rannacher,et al.  Adaptive Finite Element Approximation of Fluid-Structure Interaction Based on an Eulerian Variational Formulation , 2006 .

[6]  Gregory W. Brown,et al.  Application of a three-field nonlinear fluid–structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter , 2003 .

[7]  Charbel Farhat,et al.  A three-dimensional torsional spring analogy method for unstructured dynamic meshes , 2002 .

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

[9]  P. Murdin MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY , 2005 .

[10]  M. Asghar Bhatti Advanced Topics in Finite Element Analysis of Structures: With Mathematica and MATLAB Computations , 2006 .

[11]  Michael Schäfer,et al.  An Implicit Partitioned Method for the Numerical Simulation of Fluid-Structure Interaction , 2006 .

[12]  Xing Shi,et al.  A LBM-DLM/FD method for 3D fluid-structure interactions , 2007, J. Comput. Phys..

[13]  C. Farhat,et al.  Mixed explicit/implicit time integration of coupled aeroelastic problems: Three‐field formulation, geometric conservation and distributed solution , 1995 .

[14]  Morten Hartvig Hansen,et al.  Aeroelastic instability problems for wind turbines , 2007 .

[15]  Azzeddine Soulaïmani,et al.  Nonlinear Aeroelasticity Computations in Transonic Flows Using Tightly Coupling Algorithms , 2006 .

[16]  Jaroslav Hron,et al.  Fluid-structure interaction with applications in biomechanics , 2007, Nonlinear Analysis: Real World Applications.

[17]  C. Soares,et al.  Experimental investigation of the nonlinear effects on the vertical motions and loads of a containership in regular waves , 2004 .

[18]  Paolo Mantegazza,et al.  EFFICIENT APPLICATION OF CFD AEROELASTIC METHODS USING COMMERCIAL SOFTWARE , 2005 .

[19]  Eugenio Oñate,et al.  Unified Lagrangian formulation for elastic solids and incompressible fluids: Application to fluid–structure interaction problems via the PFEM , 2008 .

[20]  Lothar Gaul,et al.  Simulation of Structural Deformations of Flexible Piping Systems by Acoustic Excitation , 2007 .

[21]  Frederick Stern,et al.  Urans and des simulations of static and dynamic maneuvering for surface combatant , 2009 .

[22]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .

[23]  F. J. Blom,et al.  Analysis of Fluid-Structure Interaction by Means of Dynamic Unstructured Meshes , 1998 .

[24]  F. Stern,et al.  Ship motions using single-phase level set with dynamic overset grids , 2007 .

[25]  C. Guedes Soares,et al.  Vibratory Response of Ship Hulls to Wave Impact Loads , 1998 .

[26]  Eugenio Oñate,et al.  Fluid-structure interaction using the particle finite element method , 2006 .

[27]  M. T. Cooper,et al.  Dynamic and static analysis of a marine riser , 1979 .

[28]  Frederick Stern,et al.  An unsteady single‐phase level set method for viscous free surface flows , 2007 .

[29]  F. Menter Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[30]  Hoseong Lee,et al.  Sloshing Impact of LNG Cargoes In Membrane Containment Systems In the Partially Filled Condition , 2003 .

[31]  C. Soares,et al.  Time-Domain Analysis of Large-Amplitude Vertical Ship Motions and Wave Loads , 1998 .

[32]  Frederic Blom,et al.  A monolithical fluid-structure interaction algorithm applied to the piston problem , 1998 .

[33]  C. Farhat,et al.  Partitioned procedures for the transient solution of coupled aroelastic problems Part I: Model problem, theory and two-dimensional application , 1995 .

[34]  K. Bathe,et al.  Finite element developments for general fluid flows with structural interactions , 2004 .

[35]  John R. Chaplin,et al.  Ringing of a vertical cylinder in waves , 1997, Journal of Fluid Mechanics.

[36]  Odd M. Faltinsen Hydroelastic slamming , 2000 .

[37]  Roland Wüchner,et al.  Algorithmic treatment of shells and free form-membranes in FSI , 2006 .

[38]  A. Souto Iglesias,et al.  Simulation of anti-roll tanks and sloshing type problems with smoothed particle hydrodynamics , 2004 .

[39]  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 .

[40]  J. Batina Unsteady Euler airfoil solutions using unstructured dynamic meshes , 1989 .

[41]  Ernst Rank,et al.  Computation of fluid-structure interaction on lightweight structures , 2001 .

[42]  D. Sen,et al.  A comparative linear and nonlinear ship motion study using 3-D time domain methods , 2007 .

[43]  Tzung-hang Lee,et al.  Numerical Simulations of Hydraulic Jumps in Water Sloshing and Water Impacting , 2002 .

[44]  C. R. Ethier,et al.  A semi-torsional spring analogy model for updating unstructured meshes in 3D moving domains , 2005 .

[45]  T. Tezduyar,et al.  Mesh Moving Techniques for Fluid-Structure Interactions With Large Displacements , 2003 .

[46]  Juan J. Alonso,et al.  Fully-implicit time-marching aeroelastic solutions , 1994 .

[47]  F. Branco,et al.  Analysis of fluid–structure interaction by an arbitrary Lagrangian–Eulerian finite element formulation , 1999 .

[48]  NOEL J. WALKINGTON,et al.  An Eulerian Description of Fluids Containing Visco-Elastic Particles , 2001 .

[49]  Shuhong Chai,et al.  CFD Simulation and Engineering Mitigation of Liquid Sloshing in Topside Process Vessel on Floating Production Platform , 2008 .

[50]  Odd M. Faltinsen,et al.  Impact flows and loads on ship-deck structures , 2004 .

[51]  C. Guedes Soares,et al.  Comparison between experimental and numerical results of the nonlinear vertical ship motions and loads on a containership in regular waves , 2005 .

[52]  Azzeddine Soulaïmani,et al.  NONLINEAR AEROELASTICITY MODELING USING A REDUCED ORDER MODEL BASED ON PROPER ORTHOGONAL DECOMPOSITION , 2007 .

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

[54]  C. Guedes Soares,et al.  Experimental Investigation of the Nonlinear Effects on the Statistics of Vertical Motions and Loads of a Containership in Irregular Waves , 2004 .

[55]  Thomas E. Schellin,et al.  Application of a Two-Fluid Finite Volume Method to Ship Slamming , 1999 .

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

[57]  Jean-François Sigrist,et al.  Dynamic analysis of fluid-structure interaction problems with modal methods using pressure-based fluid finite elements , 2007 .

[58]  Michio Ueno,et al.  Effects of Bow Flare Shape to the Wave Loads of a container ship , 1989 .

[59]  Scott A. Morton,et al.  Implementation of a fully-implicit, aeroelastic Navier-Stokes solver , 1997 .

[60]  Antonio Souto-Iglesias,et al.  Liquid moment amplitude assessment in sloshing type problems with smooth particle hydrodynamics , 2006 .

[61]  Noel J. Walkington,et al.  Digital Object Identifier (DOI) 10.1007/s002050100158 An Eulerian Description of Fluids Containing Visco-Elastic Particles , 2022 .

[62]  J O'Dea,et al.  EXPERIMENTAL DETERMINATION OF NONLINEARITIES IN VERTICAL PLANE SHIP MOTIONS , 1994 .

[63]  S. Y. Lee,et al.  Dynamic analysis of baffled fuel‐storage tanks using the ALE finite element method , 2003 .

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

[65]  C. Farhat,et al.  Torsional springs for two-dimensional dynamic unstructured fluid meshes , 1998 .

[66]  J. Halleux,et al.  An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions , 1982 .

[67]  Frederick Stern,et al.  URANS analysis of a broaching event in irregular quartering seas , 2008 .

[68]  Ching-Long Lin,et al.  An Unstructured Finite Volume Approach for Structural Dynamics in Response to Fluid Motions. , 2008, Computers & structures.

[69]  C. Guedes Soares,et al.  Validation of a time-domain strip method to calculate the motions and loads on a fast monohull , 2004 .

[70]  Seiichi Koshizuka,et al.  Fluid-shell structure interaction analysis by coupled particle and finite element method , 2007 .

[71]  Nuno Fonseca,et al.  Comparison of numerical and experimental results of nonlinear wave-induced vertical ship motions and loads , 2002 .

[72]  Charbel Farhat,et al.  Matching fluid and structure meshes for aeroelastic computations : a parallel approach , 1995 .

[73]  Peter Wriggers,et al.  Arbitrary Lagrangian Eulerian finite element analysis of free surface flow , 2000 .

[74]  Shinobu Yoshimura,et al.  A monolithic approach for interaction of incompressible viscous fluid and an elastic body based on fluid pressure Poisson equation , 2005 .

[75]  W. G. Price,et al.  Numerical simulation of liquid sloshing phenomena in partially filled containers , 2009 .

[76]  Michael Griebel,et al.  Flow simulation on moving boundary-fitted grids and application to fluid-structure interaction problems , 2006 .

[77]  E. Kuhl,et al.  An arbitrary Lagrangian Eulerian finite‐element approach for fluid–structure interaction phenomena , 2003 .