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arXiv 0808.2157cond-mat.softcond-mat.stat-mech
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多粒子碰撞动力学--一种基于粒子的复杂流体力学中尺度模拟方法

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

G. Gompper, T. Ihle, D. M. Kroll, R. G. Winkler

摘要:

在这篇综述中,我们描述和分析了一种中尺度模拟流体流动的方法,这是由Malevanets和Kapral在1999年提出的,现在被称为多粒子碰撞动力学(MPC)或随机旋转动力学(SRD)。该方法由交替流动和碰撞步骤的点粒子的合奏。多粒子碰撞通过将粒子分组在碰撞单元中来执行,并且质量、动量和能量局部守恒。这种模拟技术捕获了完整的流体动力学相互作用和热波动。审查的第一部分开始与几个广泛使用的MPC算法的描述,然后讨论了原始SRD算法的重要功能和经常使用的变化。两个互补的方法推导的流体动力学方程和评估的传输系数进行审查。然后展示了如何将MPC算法推广到非理想流体和具有会凝点的二元混合物的建模。讨论了角动量守恒对不同粘度的分相液体等系统的重要性。评论的第二部分介绍了一些最近的应用MPC算法来研究胶体和聚合物动力学,囊泡和细胞在流体动力学流动的行为,和粘弹性流体的动力学。

英文摘要:

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.

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