A direct-forcing fictitious domain method for particulate flows

Journal of Computational Physics

Volumn 227, Issue 1, 2007, Pages 292-314

  Yu, Zhaosheng ^a   Shao, Xueming ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Direct forcing; Fictitious domain method; Immersed boundary; Lagrange multiplier; Particulate flows

Indexed keywords

BUOYANCY; CYLINDERS (SHAPES); DELTA FUNCTIONS; LAGRANGE MULTIPLIERS; REYNOLDS NUMBER; TURBULENT FLOW;

COUETTE FLOWS; DIRECT-FORCING; DIRECT-FORCING FICTITIOUS DOMAIN METHODS; EULERIAN; FICTITIOUS DOMAIN METHOD; FORCINGS; IMMERSED BOUNDARY; IMMERSED BOUNDARY METHODS; LAGRANGIAN; PARTICULATE FLOWS;

SPHERES;

EID: 35348846550     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.07.027     Document Type: Article

References (44)

1. Mittal R., and Iaccarino G. Immersed boundary methods. Annu. Rev. Fluid Mech. 37 (2005) 239-261
2. Marella S., Krishnan S., Liu H., and Udaykumar H.S. Sharp interface Cartesian grid method I: an easily implemented technique for 3D moving boundary computations. J. Comput. Phys. 210 (2005) 1-31
3. Glowinski R., Pan T.-W., and Périaux J. A fictitious domain method for Dirichlet problems and applications. Comp. Meth. Appl. Mech. Eng. 111 (1994) 283-303
4. Bertrand F., Tanguy P.A., and Thibault F. A three-dimensional fictitious domain method for incompressible fluid flow problems. Int. J. Numer. Meth. Fluids 25 (1997) 719-736
5. Glowinski R., Pan T.-W., Hesla T.I., and Joseph D.D. A distributed Lagrange multiplier/fictitious domain method for particulate flows. Int. J. Multiphase Flow 25 (1999) 755-794
6. Glowinski R., Pan T.-W., Hesla T.I., Joseph D.D., and Periaux J. A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. J. Comput. Phys. 169 (2001) 363-426
7. Yu Z., Shao X., and Wachs A. A fictitious domain method for particulate flows with heat transfer. J. Comput. Phys. 217 (2006) 424-452
8. Peskin C.S. Numerical analysis of blood flow in the heart. J. Comput. Phys. 25 (1977) 220-252
9. Lai M.-C., and Peskin C. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. J. Comput. Phys. 160 (2000) 705-719
10. Höfler K., and Schwarzer S. Navier-Stokes simulation with constraint forces: finite-difference method for particle-laden flows and complex geometries. Phys. Rev. E 61 (2000) 7146-7160
11. Uhlmann M. An immersed boundary method with direct forcing for the simulation of particulate flows. J. Comput. Phys. 209 (2005) 448-476
12. Yang J., and Balaras E. An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries. J. Comput. Phys. 215 (2006) 12-40
13. Kim D., and Choi H. Immersed boundary method for flow around an arbitrarily moving body. J. Comput. Phys. 212 (2006) 662-680
14. Fadlun E.A., Verzicco R., Orlandi P., and Mohd-Yusof J. Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. J. Comput. Phys. 161 (2000)
15. Le D.V., Khoo B.C., and Peraire J. An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries. J. Comput. Phys. 220 (2006) 109-138
16. Xu S., and Wang Z.J. An immersed interface method for simulating the interaction of a fluid with moving boundaries. J. Comput. Phys. 216 (2006) 454-493
17. Kang M., Fedkiw R.P., and Liu X.-D. A boundary condition capturing method for multiphase incompressible flow. J. Sci. Comput. 15 (2000) 323-360
18. Hwang W.R., Hulsen M.A., and Meijer H.E.H. Direct simulations of particle suspensions in a viscoelastic fluid in sliding bi-periodic frames. J. Non-Newtonian Fluid Mech. 121 (2004) 15-33
19. Yu Z., Phan-Thien N., Fan Y., and Tanner R.I. Viscoelastic mobility problem of a system of particles. J. Non-Newtonian Fluid Mech. 104 (2002) 87-124
20. Yu Z., Phan-Thien N., and Tanner R.I. Dynamical simulation of sphere motion in a vertical tube. J. Fluid Mech. 518 (2004) 61-93
21. Yu Z., Wachs A., and Peysson Y. Numerical simulation of particle sedimentation in shear-thinning fluids with a fictitious domain method. J. Non-Newtonian Fluid Mech. 136 (2006) 126-139
22. Yu Z., and Wachs A. A fictitious domain method for dynamic simulation of particle sedimentation in Bingham fluids. J. Non-Newtonian Fluid Mech. 145 (2007) 78-91
23. Sharma N., and Patankar N.A. A fast computation technique for the direct numerical simulation of rigid particulate flows. J. Comput. Phys. 205 (2005) 439-457
24. Veeramani C., Minev P.D., and Nandakumar K. A fictitious domain formulation for flows with rigid particles: a non-Lagrange multiplier version. J. Comput. Phys. (2006) 10.1016/j.jcp.2006.10.028
25. Diaz-Goano C., Minev P., and Nandakumar K. A fictitious domain/finite element method for particulate flows. J. Comput. Phys. 192 (2003) 105-123
26. Yu Z. A DLM/FD method for fluid/flexible-body interactions. J. Comput. Phys. 207 (2005) 1-27
27. Shi X., and Phan-Thien N. Distributed Lagrange multiplier/fictitious domain method in the framework of lattice Boltzmann method for fluid-structure interactions. J. Comput. Phys. 206 (2005) 81-94
28. Peskin C.S. The immersed boundary method. Acta Numer. (2002) 1-39
29. Saiki E.M., and Biringen S. Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method. J. Comput. Phys. 123 (1996) 450-465
30. Su S.-W., Lai M.-C., and Lin C.-A. An immersed boundary technique for simulating complex flows with rigid boundary. Comp. Fluids 36 (2007) 313-324
31. Ladd A.J.C., and Verberg R. Lattice-Boltzmann simulations of particle-fluid suspensions. J. Stat. Phys. 104 (2001) 1191-1251
32. M.Uhlmann, New Results on the Simulation of Particulate Flows, Technical Report No. 1038, CIEMAT, Madrid, Spain, 2003, ISSN 1135-9420.
33. Z. Yu, Dynamic Simulation of Particulate Flows with the DLM Method, Ph.D. Thesis, University of Sydney, 2003.
34. Rapaport D.C. The Art of Molecular Dynamics Simulation (1995), Cambridge University Press
35. Liu C., Zheng X., and Sung C. Preconditioned multigrid methods for unsteady incompressible flows. J. Comput. Phys. 139 (1998) 35-57
36. Canuto C., Hussaini M.H., Quarteroni A., and Zang T.A. Spectral Methods in Fluid Dynamics (1988), Springer-Verlag, New York
37. Patera A.T. A spectral element method for fluid dynamics: laminar flow in a channel expansion. J. Comput. Phys. 54 (1984) 468-488
38. Happel J., and Brenner H. Low Reynolds Number Hydrodynamics (1965), Prentice-Hall, New York
39. Clift R., Grace J.R., and Weber M.E. Bubbles, Drops, and Particles (1978), Academic Press
40. Jeffrey R.C., and Pearson J.R. Particle motion in laminar vertical tube flow. J. Fluid Mech. 22 (1965) 721-735
41. Pan T.-W., and Glowinski R. Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuilles flow. C.R. Mec. 333 (2005) 884
42. Yang B., Wang J., Joseph D., Hu H., Pan T., and Glowinski R. Migration of a sphere in a tube flow. J. Fluid Mech. 540 (2005) 109-131
43. Mikulencak D.R., and Morris J.F. Stationary shear flow around fixed and free bodies at finite Reynolds number. J. Fluid Mech. 520 (2004) 215-242
44. Jeffery G.B. The motion of ellipsoidal particles immersed in a viscous fluid. Proc. R. Soc. London A 102 (1922) 161-179