A multiblock numerical method, for the solution of the Reynolds-Averaged Navier-Stokes equations, has been used in conjunction with a near-wall Reynolds stress closure and a two-layer isotropic eddy viscosity model for the study of turbulent flow around a simple appendage-hull junction. Comparisons of calculations with experimental data clearly demonstrate the superior performance of the present second-order Reynolds stress (second-moment) closure over simpler isotropic eddy viscosity models. The second-moment solutions are shown to capture the most important features of appendage-hull juncture flows, including the formation and evolution of the primary and secondary horseshoe vortices, the complex three-dimensional separations, and interaction among the hull boundary layer, the appendage wake and the root vortex system.

1.
Baker
C. J.
,
1979
, “
The Laminar Horseshoe Vortex
,”
Journal of Fluid Mechanics
, Vol.
95
, Part 2, pp.
347
367
.
2.
Baker
C. J.
,
1980
, “
The Turbulent Horseshoe Vortex
,”
Journal of Wind Engineering and Industrial Aerodynamics
, Vol.
6
, No.
11-12
, pp.
9
23
.
3.
Chen
C. L.
, and
Hung
C. M.
,
1992
, “
Numerical Study of Juncture Flows
,”
AIAA Journal
, Vol.
30
, No.
7
, pp.
1800
1807
.
4.
Chen, H. C., 1992, “Calculations of Submarine Flows by a Second-Moment RANS Method,” COE Report No. 325, Texas A & M University Research Foundation, College Station, TX.
5.
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., pp. 711–720.
6.
Chen, H. C., 1994, “Assessment of Reynolds Stress Closure Models for Submarine and Ship Flows,” COE Report No. 333, Texas A & M University Research Foundation, College Station, TX.
7.
Chen, H. C., 1995, “Studies of Submarine Flows By a Second-Moment Closure,” Journal of Engineering Mechanics, to appear.
8.
Chen, H. C., and Korpus, R., 1993, “A Multi-block Finite-Analytic Reynolds Averaged Navier-Stokes Method for 3D Incompressible Flows,” ASME FED-Vol. 150, Individual Papers in Fluid Engineering, pp. 113–121.
9.
Chen, H. C., Lin, W. M., and Weems, K. M., 1994, “Interactive Zonal Approach for Ship Flows Including Viscous and Nonlinear Wave Effects,” Proceedings of the 6th International Conference on Numerical Ship Hydrodynamics, V. C. Patel and F. Stern, eds., National Academy Press, Washington, D.C., pp. 341–363.
10.
Chen
H. C.
, and
Patel
V. C.
,
1988
, “
Near-Wall Turbulence Models for Complex Flows Including Separation
,”
AIAA Journal
, Vol.
26
, pp.
641
648
.
11.
Chen, H. C., and Patel, V. C., 1989, “The Flow Around Wing-Body Junctions,” Proceedings of the 4th Symposium on Numerical and Physical Aspects of Aerodynamic Flows, Jan., Long Beach, CA, pp. 16–19.
12.
Daly
B. J.
, and
Harlow
F. H.
,
1970
, “
Transport Equations in Turbulence
,”
The Physics of Fluids
, Vol.
13
, pp.
2634
2649
.
13.
Devenport
W. J.
, and
Simpson
R. L.
,
1990
, “
Time-Dependent and Time-Averaged Turbulence Structure Near the Nose of a Wing-Body Junctions
,”
Journal of Fluid Mechanics
, Vol.
210
, pp.
23
55
.
14.
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 Research Center, MD.
15.
Hung
C. M.
,
Sung
C. H.
, and
Chen
C. L.
,
1992
, “
Computation of Saddle Point of Attachment
,”
AIAA Journal
, Vol.
30
, No.
6
, pp.
1561
1569
.
16.
Kawahashi
M.
, and
Hosai
K.
,
1989
, “
Beam-Sweep Laser Speckle Velocimetry
,”
Experiments in Fluids
, Vol.
8
, No.
1/2
, pp.
109
111
.
17.
Launder
B. E.
,
1989
, “
Second-Moment Closure: Present . . . and Future?
International Journal of Heat and Fluid Flow
, Vol.
10
, No.
4
, pp.
282
300
.
18.
Lumley, J. L., 1980, “Second-Order Modeling of Turbulent Flows,” Prediction Methods for Turbulent Flows, W. Kollmann, ed., Hemisphere, NY, pp. 1–31.
19.
Pierce
F. J.
, and
Harsh
M. D.
,
1988
, “
The Mean Flow Structure Around and Within a Turbulent Junction or Horseshoe Vortex-Part II. The Separated and Junction Vortex Flow
,”
ASME JOURNAL OF FLUIDS ENGINEERING
, Vol.
110
, pp.
415
423
.
20.
Shima
N.
,
1988
, “
A Reynolds-Stress Model for Near-Wall and Low-Reynolds-Number Regions
,”
ASME JOURNAL OF FLUIDS ENGINEERING
, Vol.
110
, pp.
38
44
.
21.
So
R. M. C.
,
Lai
Y. G.
,
Zhang
H. S.
, and
Hwang
B. C.
,
1991
, “
Second-Order Near-Wall Turbulence Closures: A Review
,”
AIAA Journal
, Vol.
29
, No.
11
, pp.
1819
1835
.
22.
Speziale
C. G.
,
1991
, “
Analytical Methods for the Development of Reynolds-stress Closure in Turbulence
,”
Annual Review of Fluid Mechanics
, Vol.
23
, pp.
107
157
.
23.
Speziale
C. G.
,
Sarkar
S.
, and
Gatski
T. B.
,
1991
, “
Modelling the Pressure-Strain Correlation of Turbulence: An Invariant Dynamical Systems Approach
,”
Journal of Fluid Mechanics
, Vol.
227
, pp.
245
272
.
24.
Sung, C. H., and Yang, C. I., 1988, “Validation of Turbulent Horseshoe Vortex Flows,” Proceedings of the 17th ONR Symposium on Naval Hydrodynamics, The Hague, The Netherlands, pp. 241–255.
25.
Visbal
M. R.
,
1991
, “
Structure of Laminar Juncture Flows
,”
AIAA Journal
, Vol.
29
, No.
8
, pp.
1273
1282
.
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