Abstract

This paper presents a solution verification and validation study for an overset mesh based numerical wave tank in openfoam, which considers the coupling between a free-surface hydrodynamic flow model, a rigid body motion model, and an overset mesh. The coupling between the rigid body motion solver and the free-surface flow solver was achieved in a segregated manner. Free decay of roll motion of a barge was modeled using the numerical wave tank, and the damping coefficient was selected as the target quantity for solution verification. The least-square based solution verification procedure was adopted, where one of the four types of error estimators was fit to the data in the least-square sense. Both structured and unstructured mesh were tested, and their effects on the convergence order, numerical uncertainty, and error were carefully investigated. From the numerical tests, it is found that the numerical wave tank exhibits a very good convergence property for the floating body problems with structured mesh, i.e., nearly second order in space and first order in time. However, when switching the body-fitted mesh to unstructured mesh, the grid convergence is reduced to first order. Unstructured mesh does not significantly affect the convergence order in time domain, but results in a larger uncertainty due to data scattering.

References

1.
Chen
,
L.
,
Zang
,
J.
,
Hillis
,
A. J.
,
Morgan
,
G.
, and
Plummer
,
A. R.
,
2014
, “
Numerical Investigation of Wave-Structure Interaction Using OpenFOAM
,”
Ocean Eng.
,
88
, pp.
91
109
.
2.
Paulsen
,
B. T.
,
Bredmose
,
H.
,
Bingham
,
H.
, and
Jacobsen
,
N.
,
2014
, “
Forcing of a Bottom-Mounted Circular Cylinder by Steep Regular Water Waves at Finite Depth
,”
J. Fluid. Mech.
,
755
, pp.
1
34
.
3.
Shen
,
Z.
,
Wan
,
D.
, and
Carrica
,
P. M.
,
2015
, “
Dynamic Overset Grids in Openfoam With Application to KCS Self-Propulsion and Maneuvering
,”
Ocean Eng.
,
108
, pp.
287
306
.
4.
Chen
,
H.
, and
Christensen
,
E. D.
,
2016
, “
Investigations on the Porous Resistance Coefficients for Fishing Net Structures
,”
J. Fluids Struct.
,
65
, pp.
76
107
.
5.
Chen
,
H.
, and
Christensen
,
E.
,
2017
, “
Development of a Numerical Model for Fluid-Structure Interaction Analysis of Flow Through and Around an Aquaculture Net Cage
,”
Ocean Eng.
,
142
, pp.
597
615
.
6.
Chen
,
H.
, and
Christensen
,
E. D.
,
2018
, “
Simulating the Hydrodynamic Response of a Floater-Net System in Current and Waves
,”
J. Fluids Struct.
,
79
, pp.
50
75
.
7.
Ma
,
Z.
,
Qian
,
L.
,
Martínez-Ferrer
,
P.
,
Causon
,
D.
,
Mingham
,
C.
, and
Bai
,
W.
,
2018
, “
An Overset Mesh Based Multiphase Flow Solver for Water Entry Problems
,”
Comput. Fluids
,
172
, pp.
689
705
.
8.
Martínez-Ferrer
,
P. J.
,
Qian
,
L.
,
Ma
,
Z.
,
Causon
,
D. M.
, and
Mingham
,
C. G.
,
2018
, “
Improved Numerical Wave Generation for Modelling Ocean and Coastal Engineering Problems
,”
Ocean Eng.
,
152
, pp.
257
272
.
9.
Yu
,
Y. H.
, and
Li
,
Y.
,
2013
, “
Reynolds-Averaged Navier-Stokes Simulation of the Heave Performance of a Two-Body Floating-Point Absorber Wave Energy System
,”
Comput. Fluids
,
73
, pp.
104
114
.
10.
Palm
,
J.
,
Eskilsson
,
C.
,
Moura Paredes
,
G.
, and
Bergdahl
,
L.
,
2016
, “
Coupled Mooring Analysis of Floating Wave Energy Converters Using CFD
,”
Int. J. Marine Energy
,
16
, pp.
83
99
.
11.
Chen
,
H.
,
Qian
,
L.
,
Ma
,
Z.
,
Bai
,
W.
,
Li
,
Y.
,
Causon
,
D.
, and
Mingham
,
C.
,
2019
, “
Application of an Overset Mesh Based Numerical Wave Tank for Modelling Realistic Free-Surface Hydrodynamic Problems
,”
Ocean Eng.
,
176
, pp.
97
117
.
12.
Lin
,
Z.
,
Chen
,
H.
,
Qian
,
L.
,
Ma
,
Z.
,
Causon
,
D.
, and
Mingham
,
C.
,
2021
, “
Simulating Focused Wave Impacts on Point Absorber Wave Energy Converters
,”
Proc. Inst. Civil Eng.-Eng. Comput. Mech.
,
174
(
1
), pp.
19
31
.
13.
Lin
,
Z.
,
Qian
,
L.
, and
Bai
,
W.
,
2021
, “
A Coupled Overset CFD and Mooring Line Model for Floating Wind Turbine Hydrodynamics
,”
31st International Ocean and Polar Engineering Conference
,
Virtual
,
June 20–25
,
OnePetro
.
14.
Eça
,
L.
, and
Hoekstra
,
M.
,
2014
, “
A Procedure for the Estimation of the Numerical Uncertainty of CFD Calculations Based on Grid Refinement Studies
,”
J. Comput. Phys.
,
262
, pp.
104
130
.
15.
Roy
,
C. J.
,
2005
, “
Review of Code and Solution Verification Procedures for Computational Simulation
,”
J. Comput. Phys.
,
205
(
1
), pp.
131
156
.
16.
Stern
,
F.
,
Wilson
,
R. V.
,
Coleman
,
H. W.
, and
Paterson
,
E. G.
,
2001
, “
Comprehensive Approach to Verification and Validation of CFD Simulations–Part 1: Methodology and Procedures
,”
ASME J. Fluids Eng.
,
123
(
4
), p.
793
.
17.
Ferziger
,
J. H.
, and
Peric
,
M.
,
2001
,
Computational Methods for Fluid Dynamics
, 3rd ed.,
Springer-Verlag Berlin Heidelberg
,
New York
.
18.
Ren
,
B.
,
He
,
M.
,
Dong
,
P.
, and
Wen
,
H.
,
2015
, “
Nonlinear Simulations of Wave-Induced Motions of a Freely Floating Body Using WCSPH Method
,”
Appl. Ocean Res.
,
50
, pp.
1
12
.
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