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. (C) 2014 Elsevier Ltd. All rights reserved.