A new immersed boundary-lattice Boltzmann method (IB-LBM) is proposed and validated in this work by its application to simulate incompressible viscous flows. The conventional IB-LBM based on the lattice Boltzmann equation with external forcing term, which contains a boundary velocity to represent the effect that the moving boundary exerts on the bounce-back distribution functions, whereas the p...

The axisymmetric flows with swirl or rotation were solved by a hybrid scheme with lattice Boltzmann method for the axial and radial velocities and finite-difference method for the azimuthal (or swirl) velocity and the temperature. An incompressible axisymmetric lattice Boltzmann D2Q9 model was proposed to solve the axial and radial velocities through inserting source terms into the two-dimensio...

The Lattice Boltzmann Method is applied to incompressible, steady, laminar flows at high Reynolds numbers varying in a range form 50 to 2000. The developing channel flow and the lid driven cavity flow are analyzed. The effect of the model Mach number on accuracy is investigated by performing computations at different Mach numbers in the range 0.1 0.4 and comparing the results with finite-volume...

Compared to conventional techniques in computational fluid dynamics, the lattice Boltzmann method (LBM) seems to be a completely different approach to solve the incompressible Navier-Stokes equations. The aim of this article is to correct this impression by showing the close relation of LBM to two standard methods: relaxation schemes and explicit finite difference discretizations. As a side eff...

A version of immersed boundary-lattice Boltzmann method (IB-LBM) is proposed in this work. It is based on the lattice Boltzmann equation with external forcing term proposed by Guo et al. [Z. Guo, C. Zheng, B. Shi, Discrete lattice effects on the forcing term in the lattice Boltzmann method, Phys. Rev. E 65 (2002) 046308], which can well consider the effect of external force to the momentum and ...

We compare the lattice Boltzmann equation (LBE) and the gas-kinetic scheme (GKS) applied to 2D incompressible laminar flows. Although both methods are derived from the Boltzmann equation thus share a common kinetic origin, numerically they are rather different. The LBE is a finite difference method, while the GKS is a finite-volume one. In addition, the LBE is valid for near incompressible flow...