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arXiv · 1907.11936

Computational geometric methods for preferential clustering of particle suspensions

Benjamin K. Tapley·Helge I. Andersson·Elena Celledoni·Brynjulf Owren
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Abstract

A geometric numerical method for simulating suspensions of spherical and non-spherical particles with Stokes drag is proposed. The method combines divergence-free matrix-valued radial basis function interpolation of the fluid velocity field with a splitting method integrator that preserves the sum of the Lyapunov spectrum while mimicking the centrifuge effect of the exact solution. We discuss how breaking the divergence-free condition in the interpolation step can erroneously affect how the volume of the particulate phase evolves under numerical methods. The methods are tested on suspensions of $10^4$ particles evolving in discrete cellular flow field. The results are that the proposed geometric methods generate more accurate and cost-effective particle distributions compared to conventional methods.

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Benjamin K. Tapley, Helge I. Andersson, Elena Celledoni, Brynjulf Owren. 2019-07-27. Computational geometric methods for preferential clustering of particle suspensions. https://arxiv.org/abs/1907.11936

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