On the finite difference-based lattice Boltzmann method in curvilinear coordinates
Journal of Computational Physics
Grid refinement for lattice-BGK models
Journal of Computational Physics
An accurate curved boundary treatment in the lattice Boltzmann method
Journal of Computational Physics
Lattice Boltzmann method for 3-D flows with curved boundary
Journal of Computational Physics
Computer Architecture, Fourth Edition: A Quantitative Approach
Computer Architecture, Fourth Edition: A Quantitative Approach
An improved bounce-back scheme for complex boundary conditions in lattice Boltzmann method
Journal of Computational Physics
Hi-index | 31.45 |
In lattice Boltzmann (LB) simulations, the widely used wall boundary conditions (BCs) proposed by Filipova and Hanel (FH) and Mei, Luo and Shyy (MLS) result in constant mass leakage in certain circumstances. In this paper, we have analyzed the source of the leakage. Based on this analysis, we propose a second-order accurate mass conserving wall BC. In our BC, the distribution function at a wall node is decomposed into its equilibrium and non-equilibrium parts. The mass conservation is guaranteed by enforcing a mass conserving rule in the construction of the fictitious equilibrium distribution part. We have shown through several benchmark test problems involving steady and unsteady flows that our new BC not only eliminates the constant mass leakage, but also has many other advantages over the FH and MLS BCs.