Improvement of Solid-Fluid Interaction Scheme in Lattice Boltzmann Immiscible Pseudopotential Models

Abstract

The pseudopotential model within the Lattice Boltzmann Method (LBM) framework has emerged as a prominent approach in computational fluid dynamics due to its dual strengths in physical intuitiveness and computational tractability. However, when modeling wettability phenomenon, existing solid-fluid interaction schemes exhibit persistent challenges in multi-component immiscible fluid systems, notably manifested through spurious velocity artifacts and unphysical mass-transfer boundary layers. This study presents an improved interaction scheme that preserves implementation simplicity while effectively mitigating these numerical artifacts. Furthermore, leveraging the enhanced isotropy characteristics of eighth-order discrete schemes, we develop a novel boundary treatment methodology addressing second-layer lattice data reconstruction at complex interfaces. To verify the universality of the proposed optimization scheme, four benchmark scenarios, including static contact angle measurement on cylindrical surface, droplet dynamics through confined geometries, immiscible displacement processes, and co-current flow in microchannels, are simulated to demonstrate the proposed scheme's capability. The results show that the improved scheme can well simulate various complex immiscible multiphase flows.

References in corpus (12)

• On pressure and velocity flow boundary conditions and bounceback for the lattice Boltzmann BGK model
• Lattice Boltzmann methods for multiphase flow and phase-change heat transfer
• Generalized Lattice Boltzmann Method with multi-range pseudo-potential
• A Lattice Boltzmann Model for Multi-phase Fluid Flows
• Forcing scheme in pseudopotential lattice Boltzmann model for multiphase flows
• Contact angles in the pseudopotential lattice Boltzmann modeling of wetting
• Implementation of contact angles in the pseudopotential lattice Boltzmann simulations with curved boundaries
• Eliminating spurious velocities in the free energy lattice Boltzmann method
• Three-dimensional non-orthogonal multiple-relaxation-time lattice Boltzmann model for multiphase flows
• A mesoscopic model for microscale hydrodynamics and interfacial phenomena: Slip, films, and contact angle hysteresis
• An improved multicomponent pseudopotential lattice Boltzmann method for immiscible fluid displacement in porous media
• Multiphase curved boundary condition in lattice Boltzmann method