[1]
Mand?, M., Yin, C., S?rensen, H. and Rosendahl, L. (2007) On the Modeling of Motion of Non-Spherical Particles in Two-Phase Flow. 6th International Conference on Multiphase Flow, ICMF 2007, S2_Mon_D_10, Leipzig, 9-13 July 2007.
[2]
Glowinski, R., Pan, T.W., Hesla, T.I. and Joseph, D.D. (1999) A Distributed Lagrangian Multiplier Fictitious Domain Method for Particulate Flow. International Journal of Multiphase Flow, 25, 775-794.
http://dx.doi.org/10.1016/S0301-9322(98)00048-2
[3]
Joseph, D.D. and Ocando, D. (2002) Slip Velocity and Lift. Journal of Fluid Mechanics, 454, 263-286.
http://dx.doi.org/10.1017/S0022112001007145
[4]
Johnson, A. and Tezduyar, T.E. (1997) 3D Simulation of Fluid-Particle Interactions with the Number of Particles Reaching 100. Computer Methods in Applied Mechanics and Engineering, 145, 301-321.
http://dx.doi.org/10.1016/S0045-7825(96)01223-6
[5]
Maxey, M.R., Patel, B.K., Chang, E.J. and Wang, L.-P. (1997) Simulations of Dispersed Turbulent Multiphase Flow. Fluid Dynamics Research, 20, 143-156.
http://dx.doi.org/10.1016/S0169-5983(96)00042-1
[6]
Hu, H., Patankar, N. and Zhu, M. (2001) Direct Numerical Simulations of Fluid-Solid Systems Using The Arbitrary Lagrangian-Eulerian Technique. Journal of Computational Physics, 169, 427-462.
http://dx.doi.org/10.1006/jcph.2000.6592
[7]
Liu, D., Maxey, M.R. and Karniadakis, G.E. (2002) A Fast Method For Particulate Microflows. Journal of Microelectromechanical Systems, 11, 691-702.
http://dx.doi.org/10.1109/JMEMS.2002.805209
[8]
Markauskas, D., (2006) Discrete Element Modeling of Complex Axisymmetric Particle Flow. Mechanika, 6, 32-38.
[9]
Amsden, A.A. and Hirt, C.W. (1973) YAQUI: An Arbitrary Lagrangian-Eulerian Computer Program for Fluid Flows at All Speeds. Report LA-5100, Los Alamos Scientific Laboratory, Los Alamos.
[10]
Hirt, C.W., Amsden, A.A. and Cook, J.L. (1997) An Arbitrary Lagrangian-Eulerian Computing Method for All Flow Speeds. Journal of Computational Physics, 135, 203-216.
http://dx.doi.org/10.1006/jcph.1997.5702
[11]
Apte, S., Martin, M. and Patankar, N.A. (2009) A Numerical Method for Fully Resolved Simulation (FRS) of Rigid Particle-Flow Interactions in Complex Flow. Journal of Computational Physics, 228, 2712-2738.
http://dx.doi.org/10.1016/j.jcp.2008.11.034
[12]
Bush, J.W.M., Stone, H.A. and Tanzosh, J.P. (1994) Particle Motion in Rotating Viscous Fluids: Historical Survey and Recent Developments. Current Topics in the Physics of Fluids, 1, 337-344.
[13]
Tanzosh, J.P. and Stone, H.A. (1994) Motion of a Rigid Particle in a Rotating Viscous Fluid: An Integral Equation Approach. Journal of Fluid Mechanics, 275, 225-256.
http://dx.doi.org/10.1017/S002211209400234X
[14]
Hynes, J.T., Kapral, R. and Weinberg, M. (1977) Particle Rotation and Translation in a Fluid With Spin. Physica A: Statistical Mechanics and Its Applications, 3, 427-452.
[15]
Bluemink, J.J., Lohse, D., Prosperetti, A. and Wijngaarden, V. (2010) Drag and Lift Forces on Particles in a Rotating Flow. Journal of Fluid Mechanics, 643, 1-31.
http://dx.doi.org/10.1017/S0022112009991881
[16]
Liu, Q. and Prosperetti, A. (2010) Wall Effects on a Rotating Shere. Journal of Fluid Mechanics, 657, 1-21.
http://dx.doi.org/10.1017/S002211201000128X
[17]
Lee, J. and Ladd, A.J.C. (2007) Particle Dynamics and Pattern Formation in a Rotating Suspension. Journal of Fluid Mechanics, 577, 183-209.
http://dx.doi.org/10.1017/S002211200700465X
[18]
Liu, D., Keaveny, E., Maxey, M. and Karniadakis, G.E. (2009) Force Coupling Method for Flows with Ellipsoidal Particles. Journal of Computational Physics, 228, 3559-3581.
http://dx.doi.org/10.1016/j.jcp.2009.01.020
[19]
Liu, D., Chen, Q. and Wang, Y. (2011) Spectral Element Modeling of Sediment Transport in Shear Flows. Computer Methods in Applied Mechanics and Engineering, 200, 1691-1707.
http://dx.doi.org/10.1016/j.cma.2011.01.009
[20]
Liu, D., Zheng, Y.-L. and Chen, Q. (2015) Grain-Resolved Simulation of Micro-Particle Dynamics in Shear and Oscillatory Flows. Computers and Fluids, 108, 129-141.
http://dx.doi.org/10.1016/j.compfluid.2014.12.003
[21]
Kim, S. and Karrila, S.J. (1991) Microhydrodynamics: Principles and Selected Applications. Dover Publications, Inc., Mineola, New York.
[22]
Liu, D. (2004) Spectral Element/Force Coupling Method: Application to Colloidal Micro-Devices and Self-Assembled Particles Structures in 3D Domains. Ph.D. Dissertation, Brown University, Providence.
[23]
Warburton, T.C., Sherwin, S.J. and Karniadakis, G.E. (1999) Spectral Basis Functions for 2D Hybrid hp Elements. SIAM Journal on Scientific Computation, 20, 1671-1695.
http://dx.doi.org/10.1137/S1064827597315716
[24]
Karniadakis, G.E. and Sherwin, S.J. (2005) Spectral/hp Element Methods for CFD. Oxford University Press, Oxford.
http://dx.doi.org/10.1093/acprof:oso/9780198528692.001.0001
[25]
Dance, S. (2002) Particle Sedimentation in Viscous Fluids. Ph.D. Dissertation, Brown University, Providence.