An h-adaptive implicit immersed boundary-lattice Boltzmann flux solver based on JASMIN AMR package

In order to efficiently simulate flows with complex geometries, an implicit immersed boundary-lattice Boltzmann flux solver (IB-LBFS) combined with an h-adaptive mesh refinement (AMR) technology is proposed and implemented on JASMIN infrastructure. In the present implementation, the original velocity-splitting IB-LBFS is modified by a momentum-splitting during the factional step. Four benchmark problems are used to validate the present method, including the flow over a stationary circular cylinder, the sedimentation of a two-dimensional elliptical particle, the flow around a stationary sphere and the sedimentation of a single sphere. The simulated results are in good agreements with previously published data, which demonstrates the accuracy and the capability of the proposed method in simulating flow problems with stationary or moving boundaries.