#5501. Computational geometric methods for preferential clustering of particle suspensions

August 2026publication date
Proposal available till 20-05-2025
4 total number of authors per manuscript0 $

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Journal’s subject area:
Applied Mathematics;
Numerical Analysis;
Computational Mathematics;
Modeling and Simulation;
Physics and Astronomy (all);
Physics and Astronomy (miscellaneous);
Computer Science Applications;
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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 104 particles evolving in a discrete cellular flow field.
Keywords:
Anisotropic particles; Particle-laden flows; Radial basis functions; Semi-Lagrangian; Splitting methods

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