Multi-component lattice Boltzmann models for accurate simulation of flows with wide viscosity variation

• Published in: Computers & fluids Vol. 172; pp. 674 - 682
• Main Authors: Otomo, Hiroshi, Crouse, Bernd, Dressler, Marco, Freed, David M., Staroselsky, Ilya, Zhang, Raoyang, Chen, Hudong
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 30.08.2018; Elsevier BV
• Subjects: Boundary conditions; Computer simulation; Computing time; Fingering; Flow simulation; Flow velocity; Fluid dynamics; Laminar flow; Lattice Boltzmann; Lattice theory; Mathematical models; Multi-component flow; Regulated collision operator; Robustness (mathematics); Shan–Chen model; Simulation; Viscosity; Viscosity ratio; Wettability; Multi-component flow; Viscosity; Shan–Chen model; Lattice Boltzmann; Regulated collision operator; Fingering
• ISSN: 0045-7930; 1879-0747
• DOI: 10.1016/j.compfluid.2018.02.001

•Multi-component LB models operating at various fluid viscosities are developed.•The algorithm is constructed with the goal to enable engineering applications.•Numerical tests includes comparison to previous studies and analytical solutions. Multi-component lattice Boltzmann models operating in a wide range of fluid viscosity values are developed and examined. The algorithm is constructed with the goal to enable engineering applications without sacrificing simplicity and computational efficiency present in the original Shan–Chen model and D3Q19 lattice scheme. Boundary conditions for modeling friction and wettability effects are developed for discrete representation of surfaces within a volumetric approach, which results in accurate flow simulation in complex geometry. Numerical validation of our models includes comparison to previous studies and analytical solutions. The results are shown to be robust and accurate up to an extremely small kinematic viscosity value of 0.0017 lattice units and the extremely high ratio of components’ kinematic viscosities of hundreds and up to a thousand. This improvement is significant compared to previous studies with Shan–Chen model [1,25,26], in which reasonable accuracy was kept only at the viscosity ratio up to 10 in the Poiseuille flow and the fingering simulation.