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Simulating Brownian suspensions with fluctuating hydrodynamics.

Blaise Delmotte1, Eric E Keaveny2

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Summary
This summary is machine-generated.

We developed a new computational method combining fluctuating hydrodynamics and a drifter-corrector scheme to efficiently simulate Brownian suspensions. This approach accurately models particle movement and interactions in complex fluid systems.

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Area of Science:

  • Computational physics
  • Fluid dynamics
  • Colloid science

Background:

  • Simulating Brownian suspensions requires accounting for fluid hydrodynamics and particle Brownian motion.
  • Existing methods like Stokesian Dynamics can be computationally intensive, especially for large-scale simulations.
  • The overdamped limit necessitates including a Brownian drift term for accurate particle position updates.

Purpose of the Study:

  • To present an efficient computational method for dynamic simulation of Brownian suspensions using fluctuating hydrodynamics.
  • To introduce a novel midpoint time-integration scheme, the drifter-corrector (DC), for resolving the Brownian drift term.
  • To provide an approximation comparable to Stokesian Dynamics for dilute and semidilute suspensions with reduced computational cost.

Main Methods:

  • Combining the fluctuating force-coupling method (FCM) with the new drifter-corrector (DC) time-integration scheme.
  • Implementing the DC scheme to efficiently handle the Brownian drift term in fluctuating hydrodynamics simulations.
  • Imposing constraints on fluid flow once per time step to obtain stresslet corrections for hydrodynamic interactions.

Main Results:

  • The drifter-corrector (DC) scheme resolves the drift term at minimal computational cost.
  • Simulations demonstrate that the DC with fluctuating FCM accurately reproduces equilibrium distributions and the evolution of particulate suspensions.
  • The method is effective in both periodic and bounded domains, showing versatility.

Conclusions:

  • Fluctuating FCM coupled with the DC is an efficient and accurate method for large-scale dynamic simulations of colloidal dispersions.
  • This approach facilitates the study of complex colloidal processes like colloidal gelation.
  • The DC scheme significantly reduces computational cost, making advanced simulations more accessible.