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TECHNICAL PAPERS

Three-Dimensional Numerical Prediction of the Hydrodynamic Loads and Motions of Offshore Structures

[+] Author and Article Information
Karl W. Schulz, Yannis Kallinderis

Offshore Technology Research Center, The University of Texas at Austin, Austin, TX 78712

J. Offshore Mech. Arct. Eng 122(4), 294-300 (Jul 05, 2000) (7 pages) doi:10.1115/1.1320440 History: Received November 20, 1999; Revised July 05, 2000
Copyright © 2000 by ASME
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References

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Schulz,  K. W., and Kallinderis,  Y., 1998, “Unsteady Flow Structure Interaction for Incompressible Flows Using Deformable Hybrid Grids,” J. Comput. Phys., 143, pp. 569–597.
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Meling, T. S., 1998, “Numerical Prediction of the Response of a Vortex-Excited Cylinder at High Reynolds Numbers,” Proc. International OMAE Symposium, Lisbon, Portugal.
Gresho,  P. M., 1991, “Some Current CFD Issues Relevant to the Incompressible Navier-Stokes Equations,” Comput. Methods Appl. Mech. Eng., 87, pp. 201–252.
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Chorin,  A. J., 1967, “A Numerical Method for Solving Incompressible Viscous Flow Problems,” J. Comput. Phys., 2, pp. 12–26.
Kwak,  D., Chang,  J. L., Shanks,  S. P., and Chakravarthy,  S. R., 1986, “A Three-Dimensional Incompressible Navier-Stokes Flow Solver Using Primitive Variables,” AIAA J., 24, pp. 390–396.
Chorin,  A. J., 1968, “Numerical Solution of Incompressible Flow Problems,” Studies in Numerical Analysis, 2, pp. 64–71.
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Kallinderis,  Y., Khawaja,  A., and McMorris,  H., 1996, “Hybrid Prismatic/Tetrahedral Grid Generation for Viscous Flows Around Complex Geometries,” AIAA J., 34, No. 2, pp. 291–298.
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Schulz, K. W., 1999, Numerical Prediction of the Hydrodynamic Loads and Motions of Offshore Structures, Ph.D. thesis, Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Aug.
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Figures

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Drag coefficients for a smooth sphere as a function of Reynolds number. ▪ Present numerical results; — experimental results from 16.
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Velocity streamlines about a sphere in a uniform current, Re=200. Note the formation of a vortex ring on the downstream side of the sphere.
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Drag coefficients for a smooth circular cylinder as a function of Reynolds number (three-dimensional results). ▪ Present numerical results; — experimental results from 16; - - experimental results from 21.
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Geometry configuration for four circular cylinders of varying aspect ratio—(a) L/D=5.0, (b) L/D=10.0, (c) L/D=15.0, (d) L/D=30.0.
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Lift coefficient histories for four circular cylinders with varying aspect ratios, Re=1×104. Note the increased variability present for the two longer cylinders indicating spanwise variations in the flowfield. (a) L/D=5.0, (b) L/D=10.0, (c) L/D=15.0, (d) L/D=30.0.
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Drag coefficient histories for four circular cylinders with varying aspect ratios, Re=1×104—(a) L/D=5.0, (b) L/D=10.0, (c) L/D=15.0, (d) L/D=30.0.
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Velocity stream-ribbons about a bare circular cylinder: L/D=15,Re=1×104. Note the slight deviation of the vortex-core downstream of the cylinder away from the cylinder surface.
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Velocity contours at two spanwise locations along a bare circular cylinder: L/D=30,Re=1×104. Zoomed-in views of the velocity field at these spanwise locations are shown in Fig. 9.
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Zoomed-in view of the velocity fields for the two span-wise coordinates shown in Fig. 8: L/D=30,Re=1×104. Note that the vortex shedding mechanism is completely out of phase between the two spanwise locations indicating a fully three-dimensional wake.
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Velocity fields at two spanwise locations on a fixed bare circular cylinder, L/D=12,Re=1.27×104. The two arrows point to the vortex core at each spanwise location which are out of phase with each other. Additional spanwise variation can be seen with the contours of v-momentum (transverse direction) shown along the entire span of the cylinder.
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Velocity fields at two spanwise locations on a bare cylinder freely vibrating in the transverse direction, L/D=12,Re=1.27×104,Ured=6.5. The velocity fields at each spanwise location are essentially identical, and the contours of v-momentum (transverse direction) indicate a strictly two-dimensional wake downstream of the cylinder.

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