Central-moment lattice Boltzmann schemes with fixed and moving immersed boundaries

Lattice Boltzmann (LB) schemes based on the relaxation of central moments have recently proved valuable in simulating flows with an improved stability with respect to the original single-relaxation-time BGK formulation, while preserving the accuracy of the latter. This has been assessed mainly for flows in simple geometries, e.g. in periodic domains or with fixed rigid straight boundaries. In the present study, the properties of central-moment LB schemes have been investigated against flow configurations involving arbitrarily-shaped, possibly moving, boundaries within the framework of the so-called immersed boundary (IB) method. Namely, the presence of boundaries is accounted by an external force acting on the fluid that is encompassed in the central-moment LB algorithm. Accuracy and stability issues are examined in comparison with existing results from the literature and LB simulations based on the original BGK scheme. Our results show that central-moment LB schemes accompanied by the IB method provide an efficient tool for fluid–structure interaction simulations.