Multi-Particle Collision Dynamics -- a Particle-Based Mesoscale Simulation Approach to the Hydrodynamics of Complex Fluids

By Gerhard Gompper, T. Ihle, D. M. Kroll, Roland G. Winkler. 2008

528 citations recorded by the source corpus.

In this review, we describe and analyze a mesoscale simulation method for fluid flow, which was introduced by Malevanets and Kapral in 1999, and is now called multi-particle collision dynamics (MPC) or stochastic rotation dynamics (SRD). The method consists of alternating streaming and collision steps in an ensemble of point particles. The multi-particle collisions are performed by grouping particles in collision cells, and mass, momentum, and energy are locally conserved. This simulation technique captures both full hydrodynamic interactions and thermal fluctuations. The first part of the review begins with a description of several widely used MPC algorithms and then discusses important features of the original SRD algorithm and frequently used variations. Two complementary approaches for deriving the hydrodynamic equations and evaluating the transport coefficients are reviewed. It is then shown how MPC algorithms can be generalized to model non-ideal fluids, and binary mixtures with a consolute point. The importance of angular-momentum conservation for systems like phase-separated liquids with different viscosities is discussed. The second part of the review describes a number of recent applications of MPC algorithms to study colloid and polymer dynamics, the behavior of vesicles and cells in hydrodynamic flows, and the dynamics of viscoelastic fluids.

Subfields: Computational Mechanics, Fluid Flow and Transfer Processes, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/f54b894226893357b84dad51b7e1137db067b123

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In Computational Mechanics

In Fluid Flow and Transfer Processes

In Materials Chemistry

Citations in the corpus

Enhanced bacterial swimming speeds in macromolecular polymer solutions (2017, methodology): “This is a coarse-grained solver of the Navier Stokes equations which naturally includes thermal fluctuations [34, 35].”
Physics of microswimmers—single particle motion and collective behavior: a review (2014, methodology): “When the microswimmer comes closer to the wall, so that the dipole approximation is no longer justified, mesoscale simulations (see, e.g. reviews by Kapral (2008) and Gompper et al. (2009)) can be employed to elucidate the physical mechanism of attraction to the wall (Elgeti et al., 2010).”
Active Particles in Complex and Crowded Environments (2016, background): “…a particle and an obstacle (Chilukuri et al., 2014; Kreuter et al., 2013; Sipos et al., 2015; Takagi et al., 2014), and to the complicated many-body hydrodynamic interactions in a 11 dense suspension of swimmers (Alexander et al., 2009; Gompper et al., 2009; Kapral, 2008; Reigh et al., 2012).”
Challenges in Multiscale Modeling of Polymer Dynamics (2013, methodology): “In order to avoid modeling the solvent explicitly, some techniques have been developed recently, such as dissipative particle dynamics [362], stochastic rotation dynamics [363,364] and the lattice Boltzmann method [365,366].”