Numerical investigation of vortical evolution in a backward-facing step expansion flow

Applied Mathematical Modelling

Volumn 23, Issue 12, 1999, Pages 915-932

  Chiang, T P ^a   Sheu, Tony W H ^a   Fang, C C ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLE FORMATION; HYDROSTATIC PRESSURE; LAMINAR FLOW; REYNOLDS NUMBER; VISCOSITY; VORTEX FLOW;

EDDY DISTORTION; PEARSON VORTEX PROBLEM; VORTICAL EVOLUTION;

NUMERICAL METHODS;

FLOW ANALYSIS; MATHEMATICAL ANALYSIS; STEP (SURFACE STRUCTURE); VORTEX;

EID: 0033372092     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0307-904X(99)00019-0     Document Type: Article

References (19)

1. Armaly B.F., Durst F., Pereira J.C.F., Schonung B. Experimental and theoretical investigation of backward-facing step. J. Fluid Mech. 127:1983;473-496.
2. K. Morgan, J. Periaux, F. Thomasset (Eds.), Analysis of Laminar Flow Over a Backward Facing Step, in: Proc. GAMM wkshp, Bievres, France, 1983.
3. Ghoniem A.F., Cagnon Y. Vortex simulation of laminar recirculating flow. J. Comput. Phys. 68:1987;346-377.
4. Thangam T., Knight D.D. Effect of stepheight on the separated flow past a backward facing step. Phys. Fluids. A1(3):1989;604-606.
5. Kaiktsis L., Karniadakis G.EM, Orszag S.A. Onset of three-dimensionality, equilibria, and early transition in flow over a backward-facing step. J. Fluid Mech. 231:1991;501-528.
6. O.A. Ladyzhenskaya, Mathematical problems in the dynamics of viscous incompressible flow, Gordon and Breach, New York, 1963.
7. Harlow F.H., Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids. 8:1965;2182-2189.
8. Van Doormall J.P., Raithby G.D. Enhancements of the SIMPLE method for predicting incompressible fluid flows. Numer. Heat Transfer. 7:1984;147-163.
9. Chiang T.P., Hwang R.R., Sheu W.H. Finite volume analysis of spiral motion in a rectangular lid-driven cavity. Int. J. Numer. Meth. in Fluids. 23:1996;325-346.
10. Leonard B.P. A stable and accurate convective modeling procedure based on quadratic upstream interpolation. Comput. Meth. Appl. Mech. Engrg. 19:1979;59-98.
11. Chorin A.J. Numerical solution of the Navier-Stokes equations. Mathematics of Comput. 22:1968;745-762.
12. Perez Guerrero J.S., Cotta R.M. Benchmark integral transformation results for flow over a backward-facing step. Comput. Fluids. 25(5):1996;527-540.
13. Hunt J.C.R., Abell C.J., Peterka J.A., Woo H. Kinematical studies of the flows around free and surface-mounted obstacles; applying topology to flow visualization. J. Fluid Mech. 88(1):1978;179-200.
14. Sethian J.A., Ghoniem A.F. Validation study of vortex methods. J. Comput. Phys. 74:1988;283-317.
15. Kim J., Moin P. Applications of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59:1985;308-323.
16. Honji H. The starting flow down a step. J. Fluid Mech. 69:1975;229.
17. H. Bateman, Notes on a differential equation which occurs in the two-dimensional motion of a compressible fluid and the associated variational problem, Prof. Roy. Soc., London, Sec. A., 125 (1929) 799.
18. W.H. Sheu, A variational finite element method for three-dimensional, steady, compressible, viscous flows, PhD dissertation, Department of Mechanical Engineering, Purdue University, 1987.
19. Ecer A., Akay H.U., Sheu W.H. A variational finite element formulation for viscous compressible flows, Numerical methods for compressible flows-finite difference, element and volume techniques. ASME AMD. 78:1986;5-17.