Modeling a no-slip flow boundary with an external force field
Journal of Computational Physics
Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method
Journal of Computational Physics
Lattice Boltzmann method on curvilinear coordinates system: flow around a circular cylinder
Journal of Computational Physics
Preconditioned multigrid methods for unsteady incompressible flows
Journal of Computational Physics
Journal of Computational Physics
An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
Journal of Computational Physics
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
Journal of Computational Physics
Combined immmersed-boundary finite-difference methods for three-dimensional complex flow simulations
Journal of Computational Physics
An immersed-boundary finite-volume method for simulations of flow in complex geometries
Journal of Computational Physics
Journal of Computational Physics
The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems
Journal of Computational Physics
Proteus: a direct forcing method in the simulations of particulate flows
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A solution-adaptive lattice Boltzmann method for two-dimensional incompressible viscous flows
Journal of Computational Physics
Computers & Mathematics with Applications
Journal of Computational Physics
Application of a ghost fluid approach for a thermal lattice Boltzmann method
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.48 |
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 momentum flux as well as the discrete lattice effect. In this model, the velocity is contributed by two parts. One is from the density distribution function and can be termed as intermediate velocity, and the other is from the external force and can be considered as velocity correction. In the conventional IB-LBM, the force density (external force) is explicitly computed in advance. As a result, we cannot manipulate the velocity correction to enforce the non-slip boundary condition at the boundary point. In the present work, the velocity corrections (force density) at all boundary points are considered as unknowns which are computed in such a way that the non-slip boundary condition at the boundary points is enforced. The solution procedure of present IB-LBM is exactly the same as the conventional IB-LBM except that the non-slip boundary condition can be satisfied in the present model while it is only approximately satisfied in the conventional model. Numerical experiments for the flows around a circular cylinder and an airfoil show that there is no any penetration of streamlines to the solid body in the present results. This is not the case for the results obtained by the conventional IB-LBM. Another advantage of the present method is its simple calculation of force on the boundary. The force can be directly calculated from the relationship between the velocity correction and the force density.