Vortex simulation of laminar recirculating flow
Journal of Computational Physics
A novel thermal model for the lattice Boltzmann method in incompressible limit
Journal of Computational Physics
Lattice Boltzmann algorithm for simulating thermal flow in compressible fluids
Journal of Computational Physics
Future Generation Computer Systems - Special issue: Computational science of lattice Boltzmann modelling
Multidimensional upwinding for incompressible flows based on characteristics
Journal of Computational Physics
Flux modelling in the finite-volume lattice Boltzmann approach
International Journal of Computational Fluid Dynamics
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In this paper, Thermal Finite-Volume Lattice Boltzmann Method is developed. To demonstrate the temperature field, the Double Distribution Function (DDF) of thermal lattice Boltzmann equation is used. The upwind biasing factors based on pressure and temperature are defined and applied as flux corrector in the thermo-hydrodynamic lattice Boltzmann equations. A consistent open and solid boundary treatment of flow is also addressed. The unknown energy distribution at the boundary cells are decomposed into its equilibrium and non-equilibrium parts. Then the non-equilibrium part is approximated with extrapolation of the non-equilibrium part of the populations at the neighboring nodes. This treatment enlarges the domain stability and led up to faster convergence. Two test cases namely, thermo-hydrodynamic in a backward-facing step and around a circular cylinder inserted within a backward-facing step are carried out. The results are compared with the available solutions in the technical literature.