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用基于一般曲线坐标系和交错网格的差分法求解原始变量二维不可压粘性流体的N- S方程 ,计算了雷诺数从 10 0到 1× 10 5范围内静止圆柱的非定常绕流和雷诺数从 5160到 630 0范围内的涡致振动。计算涡致振动时用动网格法分析圆柱和流体的耦合作用 ,N- S方程用二阶投影法和多重网格法求解 ,柱体的振动方程用 Newmark-β法求解。计算得到的静止圆柱涡脱频率和试验结果相当吻合 ,阻力系数令人满意 ,并成功地预测到了涡致振动的拍和锁定现象。计算得到的振幅和试验结果相差很小
Using the difference method based on the general curvilinear coordinate system and the staggered grid method to solve the N-S equation of two-dimensional incompressible viscous fluid of the original variables, the unsteady flow around the stationary cylinder with Reynolds number from 10 0 to 1 × 10 5 and Vortex-induced vibration with a Reynolds number ranging from 5160 to 630 0. The vortex-induced vibration is analyzed by the moving mesh method. The N-S equation is solved by the second-order projection method and the multi-grid method. The vibration equation of the cylinder is solved by Newmark-β method. The calculated frequency of stationary cylinder vortices is in good agreement with the experimental results, the resistance coefficient is satisfactory, and the vortex-induced vibration and locking phenomena are successfully predicted. The calculated amplitude differs little from the experimental result