Application of Regularized Lattice Boltzmann Method for Incompressible Flow Simulation at High Reynolds Number and Flow with Curved Boundary

Abstract

Single-relaxation time lattice Boltzmann method lacks the required numerical stability for high Reynolds number flow simulations. The method is also restricted to Cartesian grid, making it difficult to be implemented in flow with curved boundary applications. In this work, we proposed a regularized lattice Boltzmann method with non-equilibrium extrapolation boundary condition as a remedy for both issues. The proposed method was applied to two-dimensional lid-driven cavity flow at high Reynolds number simulation to validate its numerical stability. Flow past two-dimensional circular cylinder at moderately high Reynolds number was simulated to demonstrate the method viability for flow with curved boundary. Results obtained from the proposed method were in excellent agreement with other method in literatures. In conclusion, the proposed method was found to be more effective than the standard lattice Boltzmann method for high Reynolds number simulations and flow with curved boundary.

Keywords

• regularized lattice boltzmann method
• high reynolds number
• virtual flux method