2016/10/05 by Wojciech Regulski, Regulski, Wojciech, Christoper Ross Leonardi +3
Engineering · #Aerosol Filtration and Electrostatic Precipitation #Cellular Automata and Lattice Gases (nlin.CG) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Vibration Analysis #Lattice Boltzmann Simulation Studies
paper · pdf · doi:10.48550/arxiv.1610.01388
openalex publication_date 2016/10/05 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
In this paper, the performance of two lattice Boltzmann method formulations\nfor yield-stress (i.e. viscoplastic) fluids has been investigated. The first\napproach is based on the popular Papanastasiou regularisation of the fluid\nrheology in conjunction with explicit modification of the lattice Boltzmann\nrelaxation rate. The second approach uses a locally-implicit formulation to\nsimultaneously solve for the fluid stress and the underlying particle\ndistribution functions. After investigating issues related to the lattice\nsymmetry and non-hydrodynamic Burnett stresses, the two models were compared in\nterms of spatial convergence and their behaviour in transient and inertial\nflows. The choice of lattice and the presence of Burnett stresses was found to\ninfluence the results of both models, however the latter did not significantly\ndegrade the velocity field. Using Bingham flows in ducts and synthetic porous\nmedia, it was found that the implicitly-regularised model was superior in\ncapturing transient and inertial fluid behaviour. This result presents\npotential implications for the application of the Papanastasiou-regularised\nmodel in such scenarios. In creeping flows the performance of both models was\nfound to be both similar and satisfactory.\n