Fluid Mechanics in the Driven Cavity

Agarwal RK. 1981. A third-order-accurate upwind scheme for Navier-Stokes solutions at high Reynolds numbers.AIAA Pap. No. 81-0112

Aidun CK, Triantafillopoulos NG, Benson JD. 1991. Global stability of a lid-driven cavity with through flow: flow visualization studies.Phys. Fluids A3:2081–91

10.1017/S0022112056000123

Batchelor GK. 1967.An Introduction to Fluid Dynamics.Cambridge, UK: Cambridge Univ. Press

10.1016/0021-9991(79)90160-8

1978, Fluid Mech.-Soviet Res., 7, 101

10.1017/S0022112066000545

10.1002/(SICI)1097-0363(19960830)23:4<325::AID-FLD420>3.0.CO;2-7

10.1002/(SICI)1097-0363(19980315)26:5<557::AID-FLD638>3.0.CO;2-R

10.1016/S0169-5983(97)00043-9

Deshpande MD, Milton SG, Balaji S. 1994.A detailed description of transitional and turbulent flow in a three-dimensional cavity. Natl. Aerosp. Lab. Doc. PD CF 9430.Bangalore, India: Natl. Aerosp. Lab.

1994, Curr. Sci., 66, 767

Deshpande MD, Shankar PN. 1994b.Transitional and turbulent flow in a three-dimensional cavity. Natl. Aerosp. Lab. Doc. PD CF 9411.Bangalore, India: Natl. Aerosp. Lab.

10.1016/0021-9991(82)90058-4

10.1017/S0022112092001538

Higdon JJL. 1985. Stokes flow in arbitrary two-dimensional domains: shear flow over ridges and cavities.J. Fluid Mech.159:195–226

Ishii K, Iwatsu R. 1989. Numerical simulation of the Lagrangian flow structure in a driven-cavity. InTopological Fluid Mechanics,ed. HK Moffatt, A Tsinobar, pp. 54–63. Cambridge, UK: Cambridge Univ. Press

10.1016/0169-5983(90)90030-3

Iwatsu R, Ishii K, Kawamura T, Kuwahara K, Hyun JM. 1989. Simulation of transition to turbulence in a cubic cavity.AIAA Pap. No. 98-0040

10.1017/S0022112080002145

10.1115/1.2910296

10.1137/0134002

10.1007/BF00280038

10.1143/JPSJ.16.2307

10.1093/qjmam/49.4.635

10.1115/1.3242393

10.1115/1.3243135

Koseff JR, Street RL. 1984c. The lid-driven cavity flow: a synthesis of qualitative and quantitative observations.J. Fluids Eng.106:390–98

10.1016/0021-9991(87)90190-2

Kuhlmann HC, Wanschura M, Rath HJ. 1997. Flow in two-sided lid-driven cavities: non-uniqueness, instabilities and cellular structures.J. Fluid Mech.336:267–99

10.1017/S0022112089003186

10.1098/rspa.1996.0106

Milton SG, Deshpande MD. 1996.Study of sensitivity of numerically simulated turbulent flow field to initial conditions. Natl. Aerosp. Lab. Document PD CF 9602.Bangalore, India: Natl. Aerosp. Lab.

10.1017/S0022112064000015

10.1017/S002211206700237X

Perng C-Y, Street RL. 1989. Three-dimensional unsteady flow simulations: alternative strategies for a volume averaged calculation.Int. J. Numer. Methods Fluids9:341–62

10.1063/1.857491

1994, Phys. Fluids, 6, 2691

Reynolds WC. 1990. The potential and limitations of direct and large eddy simulations. InWhither Turbulence? Turbulence at the Crossroads,ed. JL Lumley, pp. 313–43. Berlin/Heidelberg: Springer-Verlag

10.1007/BF00261322

10.1143/JPSJ.48.1763

10.1016/0021-9991(83)90119-5

10.1017/S0022112093001491

10.1017/S0022112097005454

10.1063/1.869581

Shankar PN. 1998b. On a class of three-dimensional corner eddies.Pramana—J. Phys.51:489–503

Srinivasan R. 1995. Accurate solutions for steady plane flow in the driven cavity. I. Stokes flow.Z. Angew Math. Phys.46:524–45

10.1143/JPSJ.46.1935

Tennekes H, Lumley JL. 1972.A First Course in Turbulence.Cambridge, MA: MIT Press

Verstappen RWCP, Veldman AEP. 1994. Direct numerical simulation of a 3D turbulent flow in a driven cavity atRe= 10,000. InComputational Fluid Dynamics '94,ed. S Wagner et al, pp. 558–65. New York: Wiley & Sons

10.1063/1.858675

Zumbrunnen DA, Miles KC, Liu YH. 1995. Auto-processing of very fine scale composite materials by chaotic mixing of melts.Composites Part A27A:37–47