Abstract
A substantial number of algorithms exists for the simulation of moving particles suspended in fluids. However, finding the best method to address a particular physical problem is often highly non-trivial and depends on the properties of the particles and the involved fluid(s) together. In this report, we provide a short overview on a number of existing simulation methods and provide two state of the art examples in more detail. In both cases, the particles are described using a Discrete Element Method (DEM). The DEM solver is usually coupled to a fluid-solver, which can be classified as grid-based or mesh-free (one example for each is given). Fluid solvers feature different resolutions relative to the particle size and separation. First, a multicomponent lattice Boltzmann algorithm (mesh-based and with rather fine resolution) is presented to study the behavior of particle stabilized fluid interfaces and second, a Smoothed Particle Hydrodynamics implementation (mesh-free, meso-scale resolution, similar to the particle size) is introduced to highlight a new player in the field, which is expected to be particularly suited for flows including free surfaces.
Similar content being viewed by others
References
M.M. Dupin, I. Halliday, C.M. Care, L. Alboul, L.L. Munn, Phys. Rev. E 75, 066707 (2007)
C. Aidun, J. Clausen, Annu. Rev. Fluid Mech. 42, 439 (2010)
T. Krüger, F. Varnik, D. Raabe, Comput. Math. Appl. 61, 3485 (2011)
F. Janoschek, F. Toschi, J. Harting, Phys. Rev. E 82, 056710 (2010)
H.L. Goldsmith, R. Skalak, Annu. Rev. Fluid Mech. 7, 213 (1975)
A. Leonardi, F. Wittel, M. Mendoza, H. Herrmann, Multiphase debris flow simulations with the discrete element method coupled with a lattice-Boltzmann fluid. In Proceedings of III International Conference on Particle-based Methods, PARTICLES 2013 (2013)
G. Sauermann, A. Poliakov, P. Rognon, H. Herrmann, Geomorphology 36, 47 (2000)
A. Araújo, E. Partelli, T. Pöschel, J. AndradeJr., H. Herrmann, Sci. Rep. 3, 2858 (2013)
A. Lorke, M. Winterer, R. Schmechel, C. Schulz, Nanoparticles from the Gas Phase – Formation, Structure, Properties (Springer, Berlin, 2012)
M.R. Robinson, S. Luding, M. Ramioli, Grain sedimentation with SPH-DEM and its validation. In Powders and Grains 2013 – AIP Conf. Proc., Vol. 1542 (2013), p. 1079
Y. Tsuji, T. Oshima, Y. Morikawa, KONA 3, 38 (1985)
T. Tanaka, T. Kawaguchi, Y. Tsuji, Int. J. Modern Phys. B 7, 1889 (1993)
W. Kalthoff, S. Schwarzer, G. Ristow, H. Herrmann, Int. J. Mod. Phys. C 7, 543 (1996)
K. Chu, A. Yu, Powder Technol. 179, 104 (2008)
J. Link, L. Cuypers, N. Deen, J. Kuipers, Chem. Eng. Sci. 60, 3425 (2005)
N. Deen, M.V.S. Annaland, M.V.D. Hoef, J. Kuipers, Chem. Eng. Sci. 62, 28 (2007)
M.V.D. Hoef, M.V.S. Annaland, N. Deen, J. Kuipers, Annu. Rev. Fluid Mech. 40, 47 (2008)
M.R. Robinson, M. Ramioli, S. Luding, Int. J. Multiphase Flow 59, 121 (2013)
S. Srivastava, K. Yazdchi, S. Luding, Phil. Trans. R. Soc. A 372, 20130386 (2014)
A. Leonardi, F. Wittel, M. Mendoza, H. Herrmann, Comput. Part. Mech. 1, 3 (2014)
W. Ge, L. Lu, J. Xu, Y. Yue, X. Liu, L. Li, EMMS-based discrete particle method (EMMS-DPM) for simulation of gas-solid flows (2014) under review
N. Guo, J. Zhao, Int. J. Numer. Meth. Engng. (2014) (in press) – DOI: 10.1002/nme.4702
M. Hütter, J. Colloid Int. Sci. 231, 337 (2000)
D. Petera, M. Muthukumar, J. Chem. Phys. 111, 7614 (1999)
P. Ahlrichs, R. Everaers, B. Dünweg, Phys. Rev. E 64, 040501 (2001)
L.E. Silbert, J.R. Melrose, R.C. Ball, Phys. Rev. E 56, 7067 (1997)
G. Bossis, J.F. Brady, J. Chem. Phys. 80, 5141 (1984)
A. Sierou, J.F. Brady, J. Fluid Mech. 448, 115 (2001)
T. Phung, J. Brady, G. Bossis, J. Fluid Mech. 313, 181 (1996)
J.F. Brady, G. Bossis, Annu. Rev. Fluid Mech. 20, 111 (1988)
M. Loewenberg, E. Hinch, J. Fluid. Mech. 321, 395 (1996)
H.A. Knudsen, J.H. Werth, D.E. Wolf, Eur. Phys. J. E 27, 161 (2008)
P. Español, P. Warren, Europhys. Lett. 30, 191 (1995)
A. Ladd, R. Verberg, J. Stat. Phys. 104, 1191 (2001)
A. Komnik, J. Harting, H. Herrmann, J. Stat. Mech: Theor. Exp., P12003 (2004)
G. Gompper, T. Ihle, D. Kroll, R. Winkler, Multi-Particle Collision dynamics: A Particle-Based Mesoscale Simulation Approach to the Hydrodynamics of Complex Fluids (Springer, 2009), p. 1
A. Malevanets, R. Kapral, J. Chem. Phys. 110, 8605 (1999)
A. Malevanets, R. Kapral, J. Chem. Phys. 112, 7260 (2000)
M. Hecht, J. Harting, T. Ihle, H. Herrmann, Phys. Rev. E 72, 011408 (2005)
M. Hecht, J. Harting, M. Bier, J. Reinshagen, H. Herrmann, Phys. Rev. E 74, 021403 (2006)
M.R. Robinson, S. Luding, M. Ramioli, SPH-DEM simulations of grain dispersion by liquid injection. In Powders and Grains 2013 – AIP Conf. Proc., Vol. 1542 (2013), p. 1122
A. Fogelson, C. Peskin, J. Comput. Phys. 79, 50 (1988)
S. Schwarzer, K. Höfler, B. Wachmann, Comp. Phys. Comm. 268, 121 (1999)
K. Höfler, S. Schwarzer, Phys. Rev. E 61, 7146 (2000)
F. Fonseca, H. Herrmann, Physica A 342, 447 (2004)
F. Fonseca, H. Herrmann, Physica A 345, 341 (2005)
S. McNamara, E. Flekkøy, K. Måløy, Phys. Rev. E 61, 658 (2000)
M. Strauß, H. Herrmann, S. McNamara, G. Niederreiter, K. Sommer, Particle Technol. 162, 16 (2006)
M. Strauß, S. McNamara, H. Herrmann, Granular Matter 9, 35 (2007)
W. Ramsden, Proc. R. Soc. London 72, 156 (1903)
S. Pickering, J. Chem. Soc., Trans. 91, 2001 (1907)
S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (Oxford University Press, Oxford, 2001)
X. Shan, H. Chen, Phys. Rev. E 47, 1815 (1993)
X. Shan, H. Chen, Phys. Rev. E 49, 2941 (1994)
M.R. Swift, E. Orlandini, W.R. Osborn, J.M. Yeomans, Phys. Rev. E 54, 5041 (1996)
S. Lishchuk, C. Care, I. Halliday, Phys. Rev. E 67, 036701 (2003)
J. Harting, H. Herrmann, E. Ben-Naim, Europhys. Lett. 83, 30001 (2008)
K. Stratford, R. Adhikari, I. Pagonabarraga, J.-C. Desplat, M. Cates, Science 309, 2198 (2005)
A. Joshi, Y. Sun, Phys. Rev. E 79, 066703 (2009)
F. Jansen, J. Harting, Phys. Rev. E 83, 046707 (2011)
S. Frijters, F. Günther, J. Harting, Soft Matter 8, 6542 (2012)
F. Günther, F. Janoschek, S. Frijters, J. Harting, Comput. Fluids 80, 184 (2013)
B. Binks, T. Horozov, Colloidal Particles at Liquid Interfaces (Cambridge University Press, 2006)
B. Binks, Cur. Opin. Colloid Interface Sci. 7, 21 (2002)
E. Kim, K. Stratford, R. Adhikari, M. Cates, Langmuir 24, 6549 (2008)
A. Joshi, Y. Sun, Phys. Rev. E 82, 041401 (2010)
N.-Q. Nguyen, A. Ladd, Phys. Rev. E 66, 046708 (2002)
F. Janoschek, J. Harting, F. Toschi (submitted) (2014)
G. Taylor, Proc. R. Soc. Lond. Ser. A 138, 41 (1932)
G. Taylor, Proc. R. Soc. Lond. Ser. A 146, 501 (1934)
B. Kaoui, J. Harting, C. Misbah, Phys. Rev. E 83, 066319 (2011)
T. Anderson, R. Jackson, Ind. Eng. Chem. Fundam. 6, 527 (1967)
J.J. Monaghan, Rep. Prog. Phys. 68, 1703 (2005)
M. Robinson, J. Monaghan, Int. J. Num. Meth. Fluids 70, 37 (2012)
D. Price, J. Comp. Phys. 231, 759 (2012)
R. Di Felice, Int. J. Multiph. Flow 20, 153 (1994)
J.J. Monaghan, J. Comp. Phys. 110, 399 (1994)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Harting, J., Frijters, S., Ramaioli, M. et al. Recent advances in the simulation of particle-laden flows. Eur. Phys. J. Spec. Top. 223, 2253–2267 (2014). https://doi.org/10.1140/epjst/e2014-02262-3
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjst/e2014-02262-3