Simulation of three-dimensional flows over moving objects by an improved immersed boundary-lattice Boltzmann method

Abstract

An improved immersed boundary-lattice Boltzmann method (IB-LBM) developed recently [28] was applied in this work to simulate three-dimensional (3D) flows over moving objects. By enforcing the non-slip boundary condition, the method could avoid any flow penetration to the wall. In the developed IB-LBM solver, the flow field is obtained on the non-uniform mesh by the efficient LBM that is based on the second-order one-dimensional interpolation. As a consequence, its coefficients could be computed simply. By simulating flows over a stationary sphere and torus [28] accurately and efficiently, the proposed IB-LBM showed its ability to handle 3D flow problems with curved boundaries. In this paper, we further applied this method to simulate 3D flows around moving boundaries. As a first example, the flow over a rotating sphere was simulated. The obtained results agreed very well with the previous data in the literature. Then, simulation of flow over a rotating torus was conducted. The capability of the improved IB-LBM for solving 3D flows over moving objects with complex geometries was demonstrated via the simulations of fish swimming and dragonfly flight. The numerical results displayed quantitative and qualitative agreement with the date in the literature. © 2011 John Wiley & Sons, Ltd.