RANS/Laplace Calculations of Nonlinear Waves Induced by Surface-Piercing Bodies
Publication: Journal of Engineering Mechanics
Volume 125, Issue 11
Abstract
An interactive zonal numerical method has been developed for the prediction of free surface flows around surface-piercing bodies, including both viscous and nonlinear wave effects. In this study, a Laplace solver for potential flow body-wave problems is used in conjunction with a Reynolds-averaged Navier-Stokes (RANS) method for accurate resolution of viscous, nonlinear free surface flows around a vertical strut and a series 60 ship hull. The Laplace equation for potential flow is solved in the far field to provide the nonlinear waves generated by the body. The RANS method is used in the near field to resolve the turbulent boundary layers, wakes, and nonlinear waves around the body. Both the kinematic and dynamic boundary conditions are satisfied on the exact free surface to ensure accurate resolution of the divergent and transverse waves. The viscous-inviscid interaction between the potential flow and viscous flow regions is captured through a direct matching of the velocity and pressure fields in an overlapping RANS and potential flow computational region. The numerical results demonstrate the capability of an interactive RANS/Laplace coupling method for accurate and efficient resolution of the body boundary layer, the viscous wake, and the nonlinear waves induced by surface-piercing bodies.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Campana, E., Di Marscio, A., Esposito, P. G., and Lalli, F. (1993). “Domain decomposition in free surface viscous flows.” Proc., 6th Int. Conf. on Numer. Ship Hydrodynamics, 329–339.
2.
Chan, R. K. C. (1977). “Finite-difference simulation of the planar motion of a ship.” Proc., 2nd Int. Conf. on Numer. Ship Hydrodynamics, University of California, Berkeley, Calif., 39–52.
3.
Chen, H. C. (1995a). “Submarine flows studied by second-moment closure.”J. Engrg. Mech., ASCE, 121(10), 1136–1146.
4.
Chen, H. C. (1995b). “Assessment of a Reynolds stress closure model for appendage-hull junction flows.” J. Fluids Engrg., 117(4), 557–563.
5.
Chen, H. C., and Korpus, R. ( 1993). “A multi-block finite-analytic Reynolds-averaged Navier-Stokes method for 3D incompressible flows.” Individual Papers in Fluids Engrg., ASME FED, Vol. 150, pp. 113–121.
6.
Chen, H. C., and Lee, S. K. (1996). “Interactive RANS/LAPLACE method for nonlinear free surface flows.”J. Engrg. Mech., 122(2), 153–162.
7.
Chen, H. C., Lin, W. M., and Weems, K. M. (1993). “Interactive zonal approach for ship flow including viscous and nonlinear wave effects.” Proc., 6th Int. Conf. on Numer. Ship Hydrodynamics, 341–363.
8.
Chen, H. C., Lin, W. M., and Weems, K. M. (1994a). “Calculations of viscous nonlinear free-surface flows using interactive zonal approach.” Proc., CFD Workshop Tokyo 1994, Vol. I, 105–114.
9.
Chen, H. C., Lin, W. M., and Weems, K. M. (1994b). “Second-moment RANS calculations of viscous flow around ship hulls.” Proc., CFD Workshop Tokyo 1994, Vol. I, 275–284.
10.
Chen, H. C., and Liu, T. (1999). “Turbulent flow induced by full-scale ship in harbor.” J. Engrs. Mech., 125(7), 827–835.
11.
Chen, H. C., and Patel, V. C. (1988). “Near-wall turbulence models for complex flows including separation.” AIAA J., 26(6), 641–648.
12.
Chen, H. C., and Patel, V. C. (1989). “The flow around wing-body junctions.” Proc., 4th Symp. on Numer. and Phys. Aspects of Aerodynamic Flows.
13.
Chen, H. C., Patel, V. C., and Ju, S. (1990). “Solutions of Reynolds-averaged Navier-Stokes equations for three-dimensional incompressible flows.” J. Computational Phys., 88(2), 305–336.
14.
Farmer, J., Martinelli, L., and Jameson, A. (1994a). “Multigrid solutions of the Euler and Navier-Stokes equations for a series of 60 Cb = 0.6 ship hull for Froude numbers 0.160, 0.220 and 0.316.” Proc., CFD Workshop Tokyo 1994, Vol. I, 56–65.
15.
Farmer, J., Martinelli, L., and Jameson, A. (1994b). “Fast multigrid method for solving incompressible hydrodynamic problems with free surfaces.” AIAA J., 32(6), 1175–1182.
16.
Hubbard, B., and Chen, H. C. (1994). “A Chimera scheme for incompressible viscous flows with applications to submarine hydrodynamics.” Proc., 25th AIAA Fluid Dyn. Conf.
17.
Lee, S. K., and Chen, H. C. (1995). “A multiblock RANS/LAPLACE method for the solutions of nonlinear body wave problems.” COE Rep. No. 342, Texas Engrg. Experiment Station, Texas A&M University, College Station, Tex.
18.
Letcher, J., Weems, K., Oliver, C., Shook, D., and Salveson, N. (1989). “SLAW: Ship lift and wave, theory, implementation, and numerical results.” SAIC 89/1196, Science Applications International Corporation.
19.
Lighthill, M. J. (1958). “On displacement thickness.” J. Fluid Mech., 4(4), 383–392.
20.
Lin, W. M., and Yue, D. K. P. (1990). “Numerical solutions for large-amplitude ship motions in the time-domain.” Proc., 18th Symp. on Naval Hydrodynamics, University of Michigan, Ann Arbor, Mich.
21.
Lock, R. C., and Williams, B. R. (1987). “Viscous-inviscid interactions in external aerodynamics.” Prog. Aerosp. Sci., 24, 51–171.
22.
Miyata, H., Zhu, M., and Watanabe, O. (1992). “Numerical study on a viscous flow with free-surface waves about a ship in steady straight course by a finite-volume method.” J. Ship Res., 36(4), 332–345.
23.
Orlanski, I. (1976). “A simple boundary condition for unbounded hyperbolic flows.” J. Computational Phys., 21, 251–269.
24.
Romate, J. E. (1992). “Absorbing boundary conditions for free surface waves.” J. Computational Phys., 99, 135–145.
25.
Sankar, L. N., Bharadvaj, B. K., and Tsung, F.-L. (1993). “Three dimensional Navier-Stokes/full potential coupled analysis for viscous transonic flow.” AIAA J., 31(10), 1857–1862.
26.
Tahara, Y., and Stern, F. (1994). “A large-domain approach for calculating ship boundary layers and wakes for nonzero Froude number.” Proc., CFD Workshop Tokyo 1994, Vol. I, 45–55.
27.
Tahara, Y., Stern, F., and Rosen, B. (1990). “An interactive approach for calculating ship boundary layers and wakes for nonzero Froude number.” Proc., 18th ONR Symp. on Naval Ship Hydrodynamics.
28.
Toda, Y., Stern, F., and Longo, J. (1993). “Mean-flow measurements in the boundary layer and wake and wave field of a series 60 CB = .6 ship model—Part 1: Froude numbers .16 and .316.” J. Ship Res., 36(4), 360–377.
29.
Todd, F. H. (1963). “Series 60 methodical experiments with models of single-screw merchant ship.” Rep. 1712, Bethesda, David Taylor Model Basin, Md.
30.
Wigley, W. C. S. (1934). “A comparison of experiment and calculated wave-profiles and wave resistance for a form having parabolic waterlines.” Proc., Royal Soc., London, A144, 144–159.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 125 • Issue 11 • November 1999
Pages: 1231 - 1242
History
Received: Jul 8, 1996
Published online: Nov 1, 1999
Published in print: Nov 1999
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.