An improved momentum exchanged-based immersed boundary–lattice Boltzmann method by using an iterative technique

A novel immersed boundary–lattice Boltzmann method (IB–LBM) is proposed for incompressible viscous flows in complex geometries. Based on the momentum exchanged-based IB–LBM, an iterative technique is introduced to enforce the non-slip boundary condition at the boundary points. Moreover, the proposed IB–LBM overcomes the drawback that the numerical results of the previous work (Wu and Shu, 2009) which is affected by the distribution of Lagrangian points. A simple theoretical analysis is developed to obtain the optimal iteration parameters. Numerical results show that the present scheme has second-order accuracy and is not affected by the distribution of Lagrangian points. It also shows that the non-slip boundary condition is satisfied on the boundary. This verifies that our IB–LBM is capable of simulating flow problems with complex boundaries.