A Lagrangian-Eulerian Mapping Solver for Direct Numerical Simulation of Bubble-Laden Turbulent Shear Flows Using the Two-Fluid Formulation

Journal of Computational Physics

Volumn 154, Issue 1, 1999, Pages 174-196

  Druzhinin, O A ^a,b   Elghobashi, S E ^a  

^a University of California at Irvine   (United States)

^b INSTITUTE OF APPLIED PHYSICS   (Russian Federation)

Author keywords

Bubble laden flow; Finite difference scheme; Homogeneous shear turbulent flow; Integration along characteristics; Lagrangian Eulerian mapping; Particle laden flows; Preferential accumulation; Two fluid formulation

Indexed keywords

DIFFUSION IN LIQUIDS; FINITE DIFFERENCE METHOD; LAGRANGE MULTIPLIERS; MAPPING; NUMERICAL MODELS; SHEAR FLOW; TURBULENT FLOW;

BUBBLE-LADEN FLOW; EULERIAN; FINITE DIFFERENCE SCHEME; HOMOGENEOUS SHEAR TURBULENT FLOW; INTEGRATION ALONG CHARACTERISTIC; LADEN FLOW; LAGRANGIAN; LAGRANGIAN-EULERIAN MAPPING; PARTICLE LADEN FLOWS; PREFERENTIAL ACCUMULATION; SHEAR TURBULENT FLOW; TWO-FLUID; TWO-FLUID FORMULATION;

DIRECT NUMERICAL SIMULATION;

EID: 0005340207     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1999.6311     Document Type: Article

References (20)

1. O. A. Druzhinin and S. E. Elghobashi, Direct numerical simulations of bubble-laden turbulent flows using the two-fluid formulation, Phys. Fluids 10, 685 (1998).
2. S. E. Elghobashi, On predicting particle-laden turbulent flows, Appl. Sci. Res. 52, 309 (1994).
3. M. R. Maxey, The motion of small spherical particles in a cellular flow field, Phys. Fluids 30, 1915 (1987).
4. L.-P. Wang and M. R. Maxey, Settling velocity and concentration distribution of heavy particles in homogenous isotropic turbulence, J. Fluid Mech. 256, 27 (1993).
5. J. K. Eaton and J. R. Fessler, Preferential concentration of particles by turbulence, Int. J. Multiphase Flow 20, 169 (1994).
6. J. C. Tannehill, D. A. Anderson, and R. H. Pletcher, Computational Fluid Mechanics and Heat Transfer, 2nd ed. (Taylor & Francis, Washington, 1997), p. 177.
7. G. I. Taylor, On the decay of vortices in a viscous fluid, Philos. Mag. 46, 671 (1923).
8. O. A. Druzhinin and S. E. Elghobashi, Direct numerical simulation of a three-dimensional spatially-developing turbulent bubble-laden mixing layer with two-way coupling, submitted.
9. P. S. Lowery and W. C. Reynolds, Numerical Simulation of a Spatially-Developing, Forced, Plane Mixing Layer, Report No. TF-26, Mech. Eng. Department, Stanford University, Stanford, CA, September 1986.
10. R. Wilhelmson and J. Ericksen, Direct solution for Poisson's equation in three dimensions J. Comput. Phys. 25, 319 (1977).
11. U. Schumann and R. A. Sweet, Fast Fourier transforms for direct solution of Poisson's equation with staggered boundary conditions, J. Comput. Phys. 75, 123 (1988).
12. H. Schmidt, U. Schumann, and H. Volker, Three-Dimensional, Direct and Vectorized Elliptic Solvers for Various Boundary Conditions, Report DFVLR-Mitt. 84-15, 1984.
13. N. D. Sandham and W. C. Reynolds, Some inlet plane effects on the numerically simulated spatially developing two-dimensional mixing layer, in Turbulent Shear Flows (Springer-Verlag, New York, 1989), Vol. 6, p. 441.
14. F. H. Champagne, V. G. Harris, and S. Corrsin, Experiments on nearly homogeneous turbulent shear flow, J. Fluid Mech. 41, 81 (1970).
15. S. Tavoularis and U. Karnik, Further experiments on the evolution of turbulent stresses in uniformly sheared turbulence, J. Fluid Mech. 204, 457 (1989).
16. S. Kida and M. Tanaka, Reynolds stress and vortical structure in a uniformly sheared turbulence, J. Phys. Soc. Jpn. 61, 4400 (1992).
17. S. Kida and M. Tanaka, Dynamics of vortical structures in a homogeneous shear flow, J. Fluid Mech. 274, 43 (1994).
18. F. Mashayek, Droplet-turbulence interactions in low-Mach-number homogeneous shear two-phase flows, J. Fluid Mech. 367, 163 (1998).
19. T. Gerz, U. Schumann, and S. Elghobashi, Direct simulation of stably stratified homogeneous turbulent shear flows, J. Fluid Mech. 200, 563 (1989).
20. U. Schumann, Realizability of Reynolds-stress turbulence models, Phys. Fluids 20, 721 (1977).