Numerical simulation of 2-D fluid-structure interaction with a tightly coupled solver and establishment of the mooring model

다국어 초록 (Multilingual Abstract)

In this study, a newly enhanced Fluid-Structure Interaction (FSI) model which incorporates mooring lines was used to simulate a floating structure. The model has two parts: a Computational Fluid Dynamics (CFD) model and a mooring model. The open-source CFD OpenFOAM® v1712 toolbox was used in the present study, and the convergence criteria and relaxation method were added to the computational procedure used for the OpenFOAM multiphase flow solver, interDyMFoam. A newly enhanced, tightly coupled solver, CoupledinterDyMFoam, was used to decrease the artificial added mass effect, and the results were validated through a series of benchmark cases. The mooring model, based on the finite element method, was established in MATLAB® and was validated against a benchmark analytical elastic catenary solution and numerical results. Finally, a model which simulates a floating structure with mooring lines was successfully constructed by connecting the mooring model to CoupledinterDyMFoam.

참고문헌 (Reference)

1 Lara, J. L., "Wave and current interaction with moored floating bodies using overset method" 2018

2 Jung, K. H., "Viscous effect on the roll motion of a rectangular structure" 132 (132): 190-200, 2006

3 Pinguet, R., "Validation of open-source overset mesh method using free-decay tests of floating offshore wind turbine" 2020

4 Ransley, E. J., "Survivability of wave energy converters using CFD" 109 : 235-247, 2017

5 Ito, S., "Study of the Transient Heave Oscillation of a Floating Cylinder" Massachusetts Institute of Technology 1977

6 Jeng Hei Chow, "Strongly coupled partitioned six degree-of-freedom rigid body motion solver with Aitken's dynamic under-relaxation" 대한조선학회 8 (8): 320-329, 2016

7 Hsiao, Y., "Simulation of wave-current interaction with a sinusoidal bottom using OpenFOAM" 94 : 101998-, 2020

8 구원철, "Simplified formulas of heave added mass coefficients at high frequency for various two-dimensional bodies in a finite water depth" 대한조선학회 7 (7): 115-127, 2015

9 Tae-Hwan Joung, "Shape optimization of an autonomous underwater vehicle with a ducted propeller using computational fluid dynamics analysis" 대한조선학회 4 (4): 44-56, 2012

10 Devolder, B., "Review of the Implicit Motion Solver Algorithm in OpenFOAM® to Simulate a Heaving Buoy" 2015

11 Wu, Y. T., "Propagation of solitary waves over a bottom-mounted barrier" 62 : 31-47, 2012

12 OpenCFD, "OpenFOAM: the Open Source CFD Toolbox: User Guide"

13 Chen, L., "Numerical study of roll motion of a 2-D floating structure in viscous flow" 28 (28): 544-563, 2016

14 Hou, G., "Numerical methods for fluid-structure interaction-a review" 12 (12): 337-377, 2012

15 Niewiarowski, A., "Modeling underwater cable structures subject to breaking waves" 164 : 199-211, 2018

16 Davidson, J., "Mathematical modelling of mooring systems for wave energy converters - a review" 10 (10): 2017

17 Luongo, A., "Mathematical Models of Beams and Cables" 2013

18 Küttler, U., "Fixed-point fluid-structure interaction solvers with dynamic relaxation" 43 (43): 61-72, 2008

19 Kim, M., "Experimental and numerical estimation on roll damping and pressure on a 2-D rectangular structure in free roll decay test" 196 : 106801-, 2020

20 Dunbar, A. J., "Development and validation of a tightly coupled CFD/6-DOF solver for simulating floating offshore wind turbine platforms" 110 : 98-105, 2015

21 Mavrakos, S. A., "Deep water mooring dynamics" 9 (9): 181-209, 1996

22 Malta, E. B., "Damping coefficient analyses for floating offshore structures" 2010

23 van Loon, R., "Comparison of various fluid-structure interaction methods for deformable bodies" 85 (85): 833-843, 2007

24 F€orster, C., "Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows" 196 (196): 1278-1293, 2007

25 Pomeranz, S. B., "Aitken's D2 method extended" 4 (4): 2017

26 Yvin, C., "Added mass evaluation with a finite-volume solver for applications in fluidestructure interaction problems solved with co-simulation" 81 : 528-546, 2018

27 Newmark, N. M., "A method of computation for structural dynamics" 85 (85): 67-94, 1959

28 Maza, M., "A coupled model of submerged vegetation under oscillatory flow using NaviereStokes equations" 80 : 16-34, 2013