JOURNAL BROWSE
Search
Advanced SearchSearch Tips
A Momentum-Exchange/Fictitious Domain-Lattice Boltzmann Method for Solving Particle Suspensions
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
A Momentum-Exchange/Fictitious Domain-Lattice Boltzmann Method for Solving Particle Suspensions
Jeon, Seok Yun; Yoon, Joon Yong; Kim, Chul Kyu; Shin, Myung Seob;
  PDF(new window)
 Abstract
This study presents a Lattice Boltzmann Method (LBM) coupled with a momentum-exchange approach/fictitious domain (MEA/FD) method for the simulation of particle suspensions. The method combines the advantages of the LB and the FD methods by using two unrelated meshes, namely, a Eulerian mesh for the flow domain and a Lagrangian mesh for the solid domain. The rigid body conditions are enforced by the momentum-exchange scheme in which the desired value of velocity is imposed directly in the particle inner domain by introducing a pseudo body force to satisfy the constraint of rigid body motion, which is the key idea of a fictitious domain (FD) method. The LB-MEA/FD method has been validated by simulating two different cases, and the results have been compared with those through other methods. The numerical evidence illustrated the capability and robustness of the present method for simulating particle suspensions.
 Keywords
Lattice Boltzmann Method;Fluid-Particle Interaction;Momentum Exchange Model;Particle Sedimentation;
 Language
Korean
 Cited by
 References
1.
Hu, H. H., 1996, "Direct Simulation of Flows of Solid-liquid Mixtures," International Journal of Multiphase Flow, Vol. 22, pp. 335-352. crossref(new window)

2.
Peskin, C. S., 1977, "Numerical Analysis of Blood Flow in the Heart," Journal of Computational Physics, Vol. 25, pp. 220-252. crossref(new window)

3.
Glowinski, R., Pan, T. W., Hesla, T. I., Joseph, D. and Periaux, J., 2001, "A Fictitious Domain Approach to the Direct Numerical Simulation of Incompressible Viscous Flow Past Moving Rigid Bodies: Application to Particulate Flow," Journal of Computational Physics, Vol. 169, pp. 363-426. crossref(new window)

4.
Yu, Z. and Shao, X., 2007, "A Direct-forcing Fictitious Domain Method for Particulate Flows," Journal of Computational Physics, Vol. 227, pp. 292-314. crossref(new window)

5.
Fadlun, E. A., Verzicco, R., Orlandi, P. and Mohd-Y., 2000, "Combined Immersed-boundary Finite-difference Methods for Three-dimensional Complex Flow Imulations," Journal of Computational Physics, Vol. 161, pp. 35-60. crossref(new window)

6.
Chen, S. and Doolen, G. D., 1998, "Lattice Boltzmann Method for Fluid Flows," Annual Review of Fluid Mechanics, Vol. 30, pp. 329-364. crossref(new window)

7.
Aidun, C. K. and Clausen, J. R., 2010, "Lattice-Boltzmann Method for Complex Flows," Annual Review of Fluid Mechanics, Vol. 42, pp. 439-472. crossref(new window)

8.
Ladd, A. J., 1994, "Numerical Simulations of Particulate Suspensions Via a Discretized Boltzmann Equation: Part 1. Theoretical Foundation," Journal of Fluid Mechanics, Vol. 271, pp. 285-309. crossref(new window)

9.
Ladd, A. J., 1994, "Numerical Simulations of Particulate Suspensions Via a Discretized Boltzmann Equation: Part 2. Numerical Results," Journal of Fluid Mechanics, Vol. 271, pp. 311-339. crossref(new window)

10.
Aidun, C. K., Lu, Y. N. and Ding, E. J., 1998, "Direct Analysis of Particle Suspensions with Inertia Using the Discrete Boltzmann Equation," Journal of Fluid Mechanics, Vol. 373, pp. 287-311. crossref(new window)

11.
Chopard, B. and Marconi, S., 2002, "Lattice Boltzmann Solid Particles in a Lattice Boltzmann Fluid," Journal of Statistical Physics, Vol. 107, pp. 23-37. crossref(new window)

12.
Guo, Z. and Shu, C., 2013, Lattice Boltzmann Method and its Applications in Engineering, World Scientific, Singapore, pp. 66-78.

13.
Joseph, D. D., Lundgren, T. S., Jackson, R. and Saville, D.A., 1990, "Ensemble Averaged and Mixture Theory Equations for Incompressible Fluid-Particle Suspensions," International Journal of Multiphase Flow, Vol. 16, pp. 35-42. crossref(new window)

14.
Feng, J., Hu, H. H. and Joseph, D. D., 1994, "Direct Simulation of Initial Value Problems for the Motion of Solid Bodies in a Newtonian Fluid. Part 2. Couette and Poiseuille Flows," Journal of Fluid Mechanics, Vol. 277, pp. 271-301. crossref(new window)

15.
Zou, Q. and He, X., 1997, "On Pressure and Velocity Boundary Conditions for the Lattice Boltzmann BGK Model," Physics of fluids, Vol. 9, pp. 1591-1598. crossref(new window)

16.
Niu, X. D., Shu, D., Chew, Y. T. and Peng, Y., 2006, "A Momentum Exchange-Based Immersed Boundary-Lattice Boltzmann Method for Simulating Incompressible Viscous Flow," Physics Letters A, Vol. 354, pp. 173-182. crossref(new window)

17.
Wan, D. and Turek, S., 2006, "Direct Numerical Simulation of Particulate Flow Via Multigrid FEM Techniques and the Fictitious Boundary Method," International Journal for Numerical Methods in Fluids, Vol. 51, pp. 531-566. crossref(new window)

18.
Nie, D. and Lin, J., 2010, "A LB-DF/FD Method for Particle Suspensions," Communications in Computational Physics, Vol. 7, pp. 544-563.