Relevance of angular momentum conservation in mesoscale hydrodynamics simulations

Abstract

The angular momentum is conserved in fluids with a few exceptions such as ferrofluids. However it can be violated locally in fluid simulations to reduce computational costs. The effects of this violation are investigated using a particle-based simulation method, multi-particle collision dynamics, which can switch on or off angular-momentum conservation. To this end, we study circular Couette flows between concentric and eccentric cylinders, where non-physical torques due to the lack of the angular-momentum conservation are found whereas the velocity field is not affected. In addition, in simulations of fluids with different viscosities in contact and star polymers in solvent, incorrect angular velocities occur. These results quantitatively agree with the theoretical predictions based on the macroscopic stress tensor.

10 pages, 11 figures

References in corpus (6)

• Hydrodynamic interactions and Brownian forces in colloidal suspensions: Coarse-graining over time and length-scales
• Simulation of Claylike Colloids
• Hydrodynamic and Brownian Fluctuations in Sedimenting Suspensions
• Particle-Based Mesoscale Hydrodynamic Techniques
• Mesoscopic Model for Diffusion-Influenced Reaction Dynamics
• Transport coefficients of dissipative particle dynamics with finite time step

Cited by in corpus (4)

• Multi-Particle Collision Dynamics -- a Particle-Based Mesoscale Simulation Approach to the Hydrodynamics of Complex Fluids
• Transport coefficients of off-lattice mesoscale-hydrodynamics simulation techniques
• Multi-particle collision dynamics modeling of viscoelastic fluids
• Efficient simulation of non-crossing fibers and chains in a hydrodynamic solvent