Paper Info
Title
A conservative lubrication dynamics method for the simulation of dense non-colloidal suspensions with particle spin
Abstract
In this paper, a novel semi-implicit lubrication dynamics method that can efficiently simulate dense non-colloidal suspensions is proposed. To reduce the computational cost in the presented methodology, inter-particle lubrication-based forces and torques alone are considered together with a short-range repulsion to enforce finite inter-particle separation due to surface roughness, Brownian forces or other excluded volume effects. Given that the lubrication forces are singular, i.e. scaling inversely with the inter-particle gap, the strategy to expedite the calculations is severely compromised if explicit integration schemes are used, especially at high concentrations. To overcome this issue, an efficient semi-implicit splitting integration scheme to solve for the particles translational and rotational velocities is presented. To validate the proposed methodology, a suspension under simple shear test is simulated in three dimensions and its rheology is compared against benchmark results. To demonstrate the stability/speed-up in the calculations, performance of the proposed semi-implicit scheme is compared against a classical explicit Velocity-Verlet scheme. The predicted viscometric functions for a non-colloidal suspension with a Newtonian matrix are in excellent agreement with the reference data from the literature. Moreover, the presented semi-implicit algorithm is found to be significantly faster than the classical lubrication dynamics methods with Velocity-Verlet integration schemes.
Year
DOI
Venue
2021
10.1016/j.jcp.2020.110001
Journal of Computational Physics
Keywords
DocType
Volume
Numerical,Rheology,Non-colloidal,Suspensions,Complex fluids
Journal
427
ISSN
Citations 
PageRank 
0021-9991
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
S.S. Prasanna Kumar100.34
A. Vázquez-Quesada200.34
Marco Ellero3215.89