Direct simulation of flows of solid-liquid mixtures

International Journal of Multiphase Flow

Volumn 22, Issue 2, 1996, Pages 335-352

  Hu, H H ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MIXTURES; SIMULATION; SOLID/LIQUID;

ALGORITHMS; CALCULATIONS; COMPUTER SIMULATION; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; HYDRODYNAMICS; ITERATIVE METHODS; NEWTONIAN LIQUIDS; PARTICLES (PARTICULATE MATTER); PRESSURE EFFECTS; REYNOLDS NUMBER; VELOCITY;

LAGRANGIAN EULERIAN TECHNIQUE; MESH GRIDS; MOVING UNSTRUCTURED GRIDS; POISEUILLE FLOW; PRESSURE GRADIENT; SOLID LIQUID MIXTURES;

MULTIPHASE FLOW;

EID: 0030111555     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/0301-9322(95)00068-2     Document Type: Article

References (38)

1. Anderson, T. B. & Jackson, R. 1967 A fluid mechanical description of fluidized beds: equations of motion. Ind. Engng Chem. Fundam. 6, 527-539.
2. Behr, M. & Tezduyar, T. E., 1994 Finite element solution strategies for large-scale flow simulations. Comput. Methods Appl. Mech. Engng 112, 3-24.
3. Brady, J. F. 1993 Stockesian dynamics simulation of particulate flows. In Particulate Two-phase Flow (Edited by Roco, M. C.), pp. 971-998. Butterworth-Heinemann, New York.
4. Brady, J. F. & Bossis, G. 1988 Stokesian dynamics. A. Rev. Fluid Mech. 20, 111-157.
5. Brenner, H. 1966 Hydrodynamic resistance of particles at small Reynolds numbers. Adv. Chem. Engng 6, 287-439.
6. Cox, G. & Mason, S. G. 1971 Suspended particles in fluid flow through tubes. A. Rev. Fluid Mech. 3, 291-316.
7. Drew, D. 1983 Mathematical modeling of two-phase flow. A. Rev. Fluid Mech. 15, 261-291.
8. Esmaeeli, A. 1995 Numerical simulations of bubbly flows. Ph.D. thesis, University of Michigan. Advisor: G. Tryggvason.
9. Feng, J., Hu, H. H. & Joseph, D. D. 1994a Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 1: sedimentation. J. Fluid Mech. 261, 95-134.
10. Feng, J., Hu, H. H. & Joseph, D. D. 1994b Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 2: Couette and Poiseuille flows. J. Fluid Mech. 277, 271-301.
11. Feng, J., Huang, P. Y. & Joseph, D. D. 1995 Dynamic simulation of the motion of capsules in pipelines. J. Fluid Mech. 282, 233-245.
12. George, P. L. 1991 Automatic Mesh Generation, Application to Finite Element Methods. Wiley, New York.
13. Hansbo, P. 1992 The characteristic streamline diffusion method for the time-dependent incompressible Navier-Stokes equations. Comput. Meth. Appl. Mech. Engng 99, 171-186.
14. 2, a mesh editor for two dimensional contours. INRIA Report 118.
15. Helsa, T. I., Singh, P. & Joseph, D. D. 1996 The dynamical simulation of two-dimensional fluid/particle systems. In preparation.
16. Hu, H. H. 1996 "Motion of a circular cylinder in a viscous liquid between parallel plates". Theor. Comput. Fluid Dynam. In press.
17. Hu, H. H., Joseph, D. D. & Crochet, M. J. 1992 Direct simulation of fluid particle motions. Theoret. Comput. Fluid Dynam. 3, 285-306.
18. Huang, P. Y., Feng, J. & Joseph, D. D. 1994 The turning couples on an elliptic particle settling in a vertical channel. J. Fluid Mech. 271, 1-16.
19. Huerta, A. & Liu, W. K. 1988 Viscous flow with large free surface motion. Comput. Meth. Appl. Mech. Engng 69, 277-324.
20. Hughes, T J. R., Franca L. P. & Mallet, M. 1987 A new finite element formulation for computational fluid dynamics: VI. Convergence analysis of the generalized SUPG formulation for linear time-dependent multi-dimensional advective-diffusive systems. Comput. Meth. Appl. Mech. Engng 63, 97-112.
21. Hughes, T. J. R. & Hulbert, G. M. 1988 Space-time finite element methods for elasti-dynamics: formulations and error estimates. Comput. Meth. Appl. Mech. Engng 66, 339-363.
22. Ishii, M. 1975 Thermo-fluid Dynamic Theory of Two-phase Flows. Eyrolles, Paris.
23. Johnson, A. & Tezduyar, T. E. 1994 Mesh update strategies in parallel finite element computations of flow with moving boundaries and interfaces. Research Report 94-018, Army High Performance Computing Research Center, University of Minnesota,
24. Johnson, A. & Tezduyar, T. E. 1995 Mesh generation and update strategies for parallel computation of 3D flow problems. Research Report 95-008, Army High Performance Computing Research Center, University of Minnesota.
25. Joseph, D. D. & Lundgren, T. S. 1990 Ensemble averaged and mixture theory equations for incompressible fluid particle suspensions. Int. J. Multiphase Flow 16, 35-42.
26. Joseph, D. D. 1994, Interrogation of numerical simulation for modeling of flow induced microstructure. In Liquid-Solid Flows 1994, Vol. 189, pp. 31-40. American Society of Mechanical Engineers.
27. Karnis, A., Goldsmith, H. L. & Mason, S. G. 1966 The flow of suspensions through tubes, V. Inertial effects. Can. J. Chem. Engng 44, 181-193.
28. Ladd, A. J. C. 1994 Numerical simulations of particulate suspensions via a discretized Boltzmann equation. J. Fluid Mech. 271, 285-339.
29. Ladd, A. J. C., Colvin, M. E. & Frenkel, D. 1988 Applications of lattice-gas cellular automata to the Brownian motion of solids in suspension. Phys. Rev. Lett. 60, 975-978.
30. Nomura T. & Hughes, T. J. R. 1992 An arbitrary Lagrangian-Eulerian finite element method for interaction of fluid and a rigid body. Comput. Meth. Appl. Mech. Engng 95, 115-138.
31. Saad Y. & Schultz, M. 1986 GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Scient. Statist. Comput. 7, 856-869.
32. Sangani, A. S. & Didwania, A. K. 1993 Dynamic simulations of flows of bubbly liquids at large Reynolds numbers. J. Fluid Mech. 250, 307-337.
33. Sangani, A. S. & Prosperetti, A. 1993 Numerical simulation of the motion of particles at large Reynolds numbers. In Particulate Two-phase Flow (Edited by Roco, M. C.), pp. 971-998. Butterworth-Heinemann, New York.
34. Smereka, P. 1993 On the motion of bubbles in a periodic box. J. Fluid Mech. 254, 79-112.
35. Tezduyar, T. E., Liou, J. & Behr, M. 1992a A new strategy for finite element computations involving moving boundaries and interfaces - the DSD/ST procedure: I. The concept and the preliminary numerical tests. Comput. Meth. Appl. Mech. Engng 94, 339-351.
36. Tezduyar, T. E., Liou, J., Behr, M. & Mittal, S. 1992b A new strategy for finite element computations involving moving boundaries and interfaces - the DSD/ST procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drafting cylinders. Comput. Meth. Appl. Mech. Engng 94, 353-371.
37. Unverdi, S. O. & Tryggvason, G. 1992 A front-tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys. 100, 25-37.
38. Zhang, D. Z., & Prosperetti, A. 1994 Averaged equations for inviscid disperse two-phase flow. J. Fluid Mech. 267, 185-219.