A fluctuating lattice-Boltzmann model for direct numerical simulation of particle Brownian motion

Particuology

Volumn 7, Issue 6, 2009, Pages 501-506

  Nie, Deming ^a,b   Lin, Jianzhong ^a,b  

^a ZHEJIANG UNIVERSITY   (China)

^b CHINA JILIANG UNIVERSITY   (China)

Author keywords

Brownian motion; Direct numerical simulation; Fluctuating hydrodynamics; Lattice Boltzmann method

Indexed keywords

BROWNIAN MOTION; CHAPMAN-ENSKOG EXPANSION; FLUCTUATING COMPONENTS; LATTICE BOLTZMANN; LATTICE BOLTZMANN MODELS; LATTICE-BOLTZMANN METHOD; MEAN-SQUARE DISPLACEMENT; NUMERICAL RESULTS; SELF-DIFFUSION COEFFICIENTS; SPHERICAL PARTICLE; STRESS TENSORS; THEORETICAL RESULT; VELOCITY AUTOCORRELATION FUNCTIONS;

BOLTZMANN EQUATION; BROWNIAN MOVEMENT; DIRECT NUMERICAL SIMULATION; FLUID DYNAMICS; HYDRODYNAMICS; KINETIC THEORY; NAVIER STOKES EQUATIONS; REGRESSION ANALYSIS; SULFUR COMPOUNDS; THREE DIMENSIONAL;

SIMULATORS;

EID: 70849093803     PISSN: 16742001     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.partic.2009.06.012     Document Type: Article

References (20)

1. Aidun C.K., Lu Y.N., and Ding E.J. Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation. Journal of Fluid Mechanics 373 (1998) 287-311
2. Bossis G., and Brady J.F. Self-diffusion of Brownian particles in concentrated suspensions under shear. The Journal of Chemical Physics 87 9 (1987) 5437-5448
3. Brady J.F., and Bossis G. Stokesian dynamics. Annual Review of Fluid Mechanics 20 (1988) 111-157
4. Ermak D.L., and McCammon J.A. Brownian dynamics with hydrodynamic interactions. The Journal of Chemical Physics 69 4 (1978) 1352-1360
5. Feng Z.G., and Michaelides E.E. The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems. Journal of Computational Physics 195 (2004) 602-628
6. Foss D.R., and Brady J.F. Structure, diffusion and rheology of Brownian suspensions by Stokesian dynamics simulation. Journal of Fluid Mechanics 407 (2000) 167-200
7. Hansen J.P., and McDonald I.R. Theory of simple liquids (1986), Academic Press, London
8. Hauge E.H., and Martin-Löf A. Fluctuating hydrodynamics and Brownian motion. Journal of Statistical Physics 7 3 (1973) 259-281
9. Hinch E.J. Application of the Langevin equation to fluid suspensions. Journal of Fluid Mechanics 72 (1975) 499-511
10. Kao M.H., Yodh A.G., and Pine D.J. Observation of Brownian motion on the time scale of the hydrodynamic interaction. Physical Review Letters 70 (1993) 242-245
11. Keblinski P., Phillpot S.R., Choi S.U.S., and Eastman J.A. Mechanisms of heat flow in suspensions of nano-sized particles (nanofluids). International Journal of Heat and Mass Transfer 45 4 (2002) 855-863
12. Ladd A.J.C. Hydrodynamic transport coefficients of random dispersions of hard spheres. The Journal of Chemical Physics 93 (1990) 3484-3494
13. Ladd A.J.C. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part I. Theoretical foundation. Journal of Fluid Mechanics 271 (1994) 285-310
14. Ladd A.J.C. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part II. Numerical results. Journal of Fluid Mechanics 271 (1994) 311-339
15. Ladd A.J.C., and Verberg R. Lattice-Boltzmann simulation of particle-fluid suspensions. Journal of Statistical Physics 104 (2001) 1191-1251
16. Landau L.D., and Lifshitz E.M. Fluid mechanics (1959), Pergamon Press, London
17. Lee S., Choi S.U.S., Li S., and Eastman J.A. Measuring thermal conductivity of fluids containing oxide nanoparticles. Journal of Heat Transfer 121 (1999) 280-289
18. Niu X.D., Shu C., Chew Y.T., and Peng Y. A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating incompressible viscous flows. Physics Letter A 354 (2006) 173-182
19. Qi D.W. Lattice-Boltzmann simulations of particles in non-zero-Reynolds-number flows. Journal of Fluid Mechanics 385 (1999) 41-62
20. Zhu J.X., Durian D.J., Müller J., Weitz D.A., and Pine D.J. Scaling of transient hydrodynamic interactions in concentrated suspensions. Physical Review Letters 68 (1992) 2559-2562