References
- Baaijens, F.P.T., 1998, Mixed finite element methods for viscoelastic flow analysis: a review, J. Non-Newtonian Fluid Mech. 79, 361-385 https://doi.org/10.1016/S0377-0257(98)00122-0
- Batchelor, G.K., 1970, The stress system in a suspension of forcefree particles J. Fluid Mech. 41, 545-570 https://doi.org/10.1017/S0022112070000745
- Brady, J.F., 1984, The Einstein viscosity correction in n dimensions, Int. J. Multiphase Flow 10, 113-114 https://doi.org/10.1016/0301-9322(83)90064-2
- Chung, H.T., S.H. Kang and W.R. Hwang, 2005, Numerical simulations of elliptic particle suspensions in sliding bi-periodic frames, Korea-Australia Rheol. J. 17, 171-180
- Fortin, M. and A. Fortin, 1989, A new approach for the FEM simulation of viscoelastic flows, J. Non-Newtonian Fluid Mech. 32, 295-310 https://doi.org/10.1016/0377-0257(89)85012-8
- Glowinski, R., T.-W. Pan, T.I. Hesla and D.D. Joseph, 1999, A distributed Lagrangian multiplier/fictitious domain method for particulate flows, Intern. J. Multiphase Flows 25, 755-749 https://doi.org/10.1016/S0301-9322(98)00048-2
- Guenette, R. and M. Fortin, 1995, A new mixed finite element method for computing viscoelastic flows, J. Non-Newtonian Fluid Mech. 60, 27-52 https://doi.org/10.1016/0377-0257(95)01372-3
- Heyes, D.M., 1985, Molecular dynamics simulations of extensional, sheet and unidirectional flow, Chemical Physics 98, 15-27 https://doi.org/10.1016/0301-0104(85)80090-2
- Hwang, W.R., M.A. Hulsen and H.E.H. Meijer, 2004a, Direct simulation of particle suspensions in sliding bi-periodic frames, J. Comput. Phys. 194, 742-772 https://doi.org/10.1016/j.jcp.2003.09.023
- Hwang, W.R., M.A. Hulsen and H.E.H. Meijer, 2004b, Direct simulation of particle suspensions in a viscoelastic fluid in sliding bi-periodic frames, J. Non-Newtonian Fluid Mech. 121, 15- 33 https://doi.org/10.1016/j.jnnfm.2004.03.008
- Hwang, W.R., M.A. Hulsen, H.E.H. Meijer and T.H. Kwon, 2004c, Direct numerical simulations of suspensions of spherical particles in a viscoelastic fluid in sliding tri-periodic domains, Proceedings of the XIVth International Congress on Rheology August 22-27, 2004; Editors: J.W. Lee and S.J. Lee, Seoul, Korea, CR10-1 to CR10-3
- Hwang, W.R., P.D. Anderson and M.A. Hulsen, 2005, Chaotic advection in a cavity flow with rigid particles, Phys. Fluids 17, 043602-1--043602-12 https://doi.org/10.1063/1.1884465
- Hwang, W.R. and M.A. Hulsen, 2006, Direct numerical simulations of hard particle suspensions in planar elongational flow, J. Non-Newtonian Fluid Mech. 136, 167-178 https://doi.org/10.1016/j.jnnfm.2006.04.004
- Kraynik, A.M. and D.A. Reinelt, 1992, Extensional motions of spatially periodic lattices, Intern. J. Multiphase Flow 18, 1045- 1059 https://doi.org/10.1016/0301-9322(92)90074-Q
- Lees, A.W. and S.F. Edwards, 1972, The computer study of transport processes under extreme conditions, J. Phys. C: Solid State Phys. 5, 1921-1929 https://doi.org/10.1088/0022-3719/5/15/006
- Mall-Gleissle, S.G., W. Gleissle, G.H. McKinley and H. Buggisch, 2002, The normal stress behaviour of suspensions with viscoelastic matrix fluids, Rheol. Acta 41, 61-76 https://doi.org/10.1007/s003970200006
- Ohl, N. and W. Gleissle, 1993, The characterization of the steadystate shear and normal stress functions of highly concentrated suspensions formulated with viscoelastic liquids, J. Rheol. 37, 381-406 https://doi.org/10.1122/1.550449
- Patankar, N.A., P. Singh, D.D. Joseph, R. Glowinski and T.-W. Pan, 2000, A new formulation of the distributed Lagrangian multipliers/fictitious domain method for particulate flows, Intern. J. Multiphase Flow 26, 1509-1524 https://doi.org/10.1016/S0301-9322(99)00100-7
- Patankar, N.A. and H.H. Hu, 2001, Rheology of a suspension of particles in viscoelastic fluids, J. Non-Newtonian Fluid Mech. 96, 423-443
- Schrauwen, B.A.G., L.E. Govaert, G.W.M. Peters and H.E.H. Meijer, 2002, The influence of flow-induced crystallization on the impact toughness of high-density polyethylene, Macromol. Symp. 185, 89-102
- Seshaijer, P. and M. Suri, 2000, hp submeshing via non-conforming finite element methods, Comput. Methods Appl. Mech. Engrg. 189, 1011-1030 https://doi.org/10.1016/S0045-7825(99)00414-4
- Sierou, A. and J.F. Brady, 2002, Rheology and microstructure in concetrated noncolloidal suspensions, J. Rheol. 46, 1031-1056 https://doi.org/10.1122/1.1501925
- Tanaka, H. and J.L. White, 1980, Experimental investigations of shear and elongational flow properties of polystylene melts reinforced with calcium carbonate, titanium dioxide, and carbon black, Polym. Eng. Sci. 20, 949-956 https://doi.org/10.1002/pen.760201406
- Vermant, J. and M.J. Solomon, 2005, Flow-induced structure in colloidal suspensions, J. Phys.: Condens. Matter 17, R187- R216 https://doi.org/10.1088/0953-8984/17/4/R02
- Yu, Z., N. Phan-Thien, Y. Fan and R.I. Tanner, 2002, Viscoelastic mobility problem of a system of particles, J. Non-Newtonian Fluid Mech. 104, 87-124 https://doi.org/10.1016/S0377-0257(02)00014-9