Modeling a no-slip flow boundary with an external force field
Journal of Computational Physics
Simulation of cavity flow by the lattice Boltzmann 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
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
A ghost-cell immersed boundary method for flow in complex geometry
Journal of Computational Physics
Journal of Computational Physics
The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems
Journal of Computational Physics
A lattice Boltzmann method for incompressible two-phase flows with large density differences
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
An immersed boundary method with direct forcing for the simulation of particulate flows
Journal of Computational Physics
Implicit velocity correction-based immersed boundary-lattice Boltzmann method and its applications
Journal of Computational Physics
Journal of Computational Physics
Computers & Mathematics with Applications
Journal of Computational Physics
A curved no-slip boundary condition for the lattice Boltzmann method
Journal of Computational Physics
Application of Lattice Boltzmann Method to sensitivity analysis via complex differentiation
Journal of Computational Physics
Computers & Mathematics with Applications
Journal of Computational Physics
A novel iterative direct-forcing immersed boundary method and its finite volume applications
Journal of Computational Physics
Computers & Mathematics with Applications
Hi-index | 31.49 |
A novel immersed boundary velocity correction-lattice Boltzmann method is presented and validated in this work by its application to simulate the two-dimensional flow over a circular cylinder. The present approach is inspired from the conventional immersed boundary method (IBM). In the conventional IBM, the effect of rigid body on the surrounding flow is modeled through a forcing term, which is in turn used to correct the surrounding velocity field. It was found that this process is actually an iterative procedure, trying to satisfy the non-slip boundary condition at the solid wall. In this work, a new concept of immersed boundary velocity correction approach is proposed, which directly corrects the velocity to enforce the physical boundary condition. The main advantage of the new method is that it is simple in concept and easy for implementation, and the convergence of numerical computation is faster and more stable than the conventional IBM. One challenging issue of conventional IBM is that some streamlines may pass through the solid body since there is no mechanism to enforce the non-slip condition at the boundary. As shown in the present numerical results, this unphysical phenomenon is avoided in our new method since the non-slip condition is enforced. The present results for the steady and unsteady flows compare very well with available data in the literature.