A conservative lubrication dynamics method for the simulation of dense non-colloidal suspensions with particle spin

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 presented methodology, inter-particle lubrication-based forces and torques alone are considered together with short-range repulsion to enforce finite separation due surface roughness, Brownian or other excluded volume effects. Given singular, i.e. scaling inversely gap, strategy expedite calculations severely compromised if explicit integration schemes used, especially at high concentrations. overcome issue, an efficient splitting scheme solve for particles translational rotational velocities presented. validate proposed suspension under simple shear test simulated three dimensions its rheology compared against benchmark results. demonstrate stability/speed-up calculations, performance of classical Velocity-Verlet scheme. The predicted viscometric functions Newtonian matrix excellent agreement reference data from literature. Moreover, algorithm found be significantly faster than methods schemes.