A coupled immersed boundary–lattice Boltzmann method and its simulation for biomimetic problems

A coupled immersed boundary–lattice Boltzmann method (IB–LBM) is introduced to solve biomimetic problems. Compared to the conventional IB–LBM, the strict satisfaction of no-slip boundary condition is implemented in the current method. Consequently, the phenomenon of flow penetration that is frequently observed in the conventional IB–LBM is fully prevented, and subsequently the force on the boundary can be calculated more accurately. This feature is of importance for the simulation of biomimetic problems. Moreover, by applying the relationship between the velocity correction and forcing term, the boundary force can be calculated easily. Several biomimetic problems are then simulated. Based on the good agreement between the current results and those in the literature, it may be concluded that the present IB–LBM has the capability to handle various biomimetic problems