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Abstract: In this paper, to study the characteristics of the flow in a laminar regime, an immersed boundary-lattice Boltzmann flux solver (IB-LBFS) is applied to numerically simulate the unsteady viscous flows around two fixed and rotating circular cylinders in side-by-side arrangement. This method applies finite volume discretization to solve the macroscopic governing equations with the flow variables defined at cell centers. At the cell interface, numerical fluxes are physically evaluated by a local lattice Boltzmann solution. In addition, the no-slip boundary condition is accurately imposed by using the implicit boundary condition-enforced immersed boundary method. Due to the simplicity and high efficiency of IB-LBFS on non-uniform grids, it is suitable for simulating fluid flows with complex geometries and moving boundaries. Firstly, numerical simulations of laminar flow past two side-by-side cylinder are performed with different gap spacings at Reynolds numbers of 100 and 200. The simulation results show that a small gap spacing induces a biased flow and forms an irregular big wake behind two cylinders at a low Reynolds number. As the gap spacing increases, an in-phase or anti-phase flow is observed. Then, the effects of the main important parameters on flow characteristics are analyzed for flow past two side-by-side rotating cylinders, including the rotational speed, Reynolds number, and gap spacing. As the rotational speed is increased, the numerical results illustrate that unsteady wakes are suppressed and the flow becomes steady. As the gap spacing is increased, two separate vortex streets behind each cylinder are formed with a definite phase relationship and single shedding frequency.

In this paper the authors carried out a numerical study on the flow characteristics around two side by side cylinders by using the immersed boundary lattice Boltzmann flux solver (IB-LBFS). The IB-LBFS applied in this work was first validated through several numerical examples. After that, both of the stationary and rotating cylinders in flows at low Reynolds numbers were considered. The effects of gap ratios between the cylinders and Reynolds numbers on the flow pattern, vortex structures and forces were well compared. As a new alternative method for CFD, it is quite interesting to see new successfully applications of the IB-LBFS to flow problems with complex geometries and moving boundaries.

基于浸入边界-格子波尔兹曼通量求解法的并列双圆柱流动特性数值研究

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