A Navier Stokes Phase Field Crystal Model for Colloidal Suspensions

Abstract

We develop a fully continuous model for colloidal suspensions with hydrodynamic interactions. The Navier Stokes Phase Field Crystal (NS-PFC) model combines ideas of dynamic density functional theory with particulate flow approaches and is derived in detail and related to other dynamic density functional theory approaches with hydrodynamic interactions. The derived system is numerically solved using adaptive finite elements and used to analyse colloidal crystallization in flowing environments demonstrating a strong coupling in both directions between the crystal shape and the flow field. We further validate the model against other computational approaches for particulate flow systems for various colloidal sedimentation problems.

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Cited by in corpus (10)

• Classical dynamical density functional theory: from fundamentals to applications
• Consistent Hydrodynamics for Phase Field Crystals
• A mesoscopic field theoretical approach for active systems
• Coarse-grained modeling of crystals by the amplitude expansion of the phase-field crystal model: an overview
• Jerky active matter: a phase field crystal model with translational and orientational memory
• A microscopic field theoretical approach for binary mixtures of active and passive particles
• Development and Analysis of a Block-Preconditioner for the Phase-Field Crystal Equation
• On the Thermodynamics of the Swift-Hohenberg Theory
• Long wavelength properties of phase field crystal models with second order dynamics
• The influence of finite size particles on fluid velocity and transport though porous media