Submarine Flows Studied by Second-Moment Closure
Publication: Journal of Engineering Mechanics
Volume 121, Issue 10
Abstract
A multiblock numerical method has been employed for the calculations of viscous flow around two appended submarine configurations used in the DARPA SUBOFF experiments. The method solves Reynolds-averaged Navier-Stokes equations in conjunction with a near-wall second-order Reynolds stress (second-moment) closure model and a two-layer isotropic eddy viscosity model. Comparison of second-moment and two-layer calculations with experimental data clearly demonstrated the significant influence of Reynolds stress anisotropy in the vortex-induced spatial nonuniformity of the propulsor inflow. The second-moment solutions are shown to capture the most important features of submarine flows including the formation and evolution of the appendage root and tip vortices, the development of thick stern boundary layer, and the complex interaction among the horseshoe vortex system and appendage wakes.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Baldwin, B. S., and Lomax, H. (1978). “Thin layer approximation and algebraic model for separated turbulence flows.”AIAA Paper 78-257; AIAA 16th Aerosp. Sci. Meeting, AIAA, Huntsville, Ala.
2.
Benek, J. A., Donegan, T. L., and Suhs, N. E. (1987). “Extended Chimera grid embedding scheme with applications to viscous flows.”AIAA Paper No. 87-1126.
3.
Chen, H. C. (1993). “Calculations of submarine flows by a multiblock Reynolds-averaged Navier-Stokes method.”Engineering turbulence modeling and experiments 2, W. Rodi and F. Martelli, eds., Elsevier Science Publishers B.V., 711–720.
4.
Chen, H. C., and Korpus, R. (1993). “A multi-block finite-analytic Reynolds averaged Navier-Stokes method for 3D incompressible flows.”Individuals papers in fluids engineering; ASME FED-Vol. 150, Fluid Engrg. Conf., F. M. White, ed., Am. Soc. of Mech. Engrs. (ASME), New York, N.Y.
5.
Chen, H. C., Lin, W. M., and Weems, K. M. (1994). “Second-moment RANS calculations of viscous flow around ship hulls.”Proc., CFD Workshop Tokyo 1994, Ship Res. Inst., Tokyo, Japan, Vol. 1, 275–284.
6.
Chen, H. C., and Patel, V. C. (1988). “Near-wall turbulence models for complex flow including separation.”AIAA J., Vol. 26, 641–648.
7.
Chen, H. C., Patel, V. C., and Ju, S.(1990). “Solutions of Reynolds-averaged Navier-Stokes equations for three-dimensional incompressible flows.”J. Computational Physics, 88(2), 305–316.
8.
Daly, B. J., and Harlow, F. H. (1970). “Transport equations in turbulence.”The Physics of Fluids, Vol. 13, 2634–2649.
9.
Deng, G. B., Queutey, P., and Visonneau, M. (1994). “Navier-Stokes computations of ship stern flows: a detailed comparative study of turbulence models and discretization schemes.”Proc., 6th Int. Conf. on Numerical Ship Hydrodynamics, V. C. Patel and F. Stern, ed., National Academy Press, Washington, D.C., 367–386.
10.
Dickinson, S. C. (1986). “An experimental investigation of appendage–flat plate junction flow, volume 1: description; volume II: elliptical nose appendage data base.”DTNSRDC-86/052, David Taylor Res. Ctr., Bethesda, Md.
11.
Hogg, S., and Leschziner, M. A.(1989). “Computation of highly swirling confined flow with a Reynolds stress turbulence model.”AIAA J., 27(1), 57–63.
12.
Huang, T. T., Liu, H. L., Groves, N. C., Forlini, T. J., Blanton, J. N., and Gowing, S. (1992). “Measurements of flows over an axisymmetric body with various appendages (DARPA SUBOFF experiments).”Proc., 19th Symp. on Naval Hydrodynamics, Seoul, South Korea.
13.
Hubbard, B., and Chen, H. C. (1994). “A Chimera scheme for incompressible viscous flows with application to submarine hydrodynamics.”AIAA Paper 94-2210, 25th AIAA Fluid Dynamics Conf., AIAA, Colorado Springs, Colo.
14.
Launder, B. E.(1989). “Second-moment closure: present . . . and future?”Int. J. Heat and Fluid Flow, 10(4), 282–300.
15.
Shima, N. (1988). “A Reynolds-stress model for near-wall and low-Reynolds-number regions.”J. Fluid Engrg., Vol. 110, 38–44.
16.
So, R. M. C., Lai, Y. G., Zhang, H. S., and Hwang, B. C.(1991). “Second-order near-wall turbulence closures: a review.”AIAA J., 29(11), 1819–1835.
17.
So, R. M. C., Lai, Y. G., and Hwang, B. C.(1991). “Near-wall turbulence closure for curved flows.”AIAA., 29(8), 1202–1213.
18.
Speziale, C. G. (1991). “Analytical methods for the development of Reynolds-stress closure in turbulence.”Annu. Rev. of Fluid Mech., Vol. 23, 107–157.
19.
Speziale, C. G., Sarkar, S., and Gatski, T. B. (1991). “Modelling the pressure-strain correlation of turbulence: an invariant dynamical systems approach.”J. Fluid Mech., Vol. 227, 245–272.
20.
Steinbrenner, J. P., Chawner, J. R., and Fouts, C. L. (1990). “The GRIDGEN 3D multiple block grid generation system.”Vols. I & II, WRDC-TR-90-3022, Wright Patterson AFB, Ohio.
21.
Sung, C. H., Tsai, J. F., Huang, T. T., and Smith, W. E. (1994). “Effects of turbulence models on axisymmetric stern flows computed by an incompressible viscous flow solver.”Proc., 6th Int. Conf. on Numerical Ship Hydrodynamics, V. C. Patel and F. Stern, eds., National Academy Press, Washington, D.C., 387–405.
Information & Authors
Information
Published In
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Oct 1, 1995
Published in print: Oct 1995
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.