用速度-涡量方法解具有表面抽吸的圆柱绕流问题  

Computation of the flow around a circular cylinder with surface suction by vorticity-velocity method

作　　者：方健雯[1] 凌国平[2] 

机构地区：[1]苏州大学财经学院,江苏苏州215021 [2]苏州大学理学院数学系,江苏苏州215006

出　　处：《苏州大学学报（自然科学版）》2002年第3期8-15,共8页Journal of Soochow University(Natural Science Edition)

摘　　要：用有限差分法计算了不可压缩粘性流体绕具有表面抽吸圆柱的流动 .控制方程采用涡量 -速度形式的N -S方程 ,并引入对数极坐标变换 ,以使近壁处的网格加密 .其中涡量输运方程采用二步R -K方法求解 ,速度泊松方程采用LSOR方法求解 ,并对速度进行了无散修正 .计算表明合理选择抽吸的位置与强度 ,可有效减少阻力和升力 。A finite difference method is used to investigate the characteristics of the incompressible flow around a circular cylinder with surface suction. The Navier-Stokes equations are expressed in terms of vorticity-velocity variables. The logarithmic-polar coordinate system is adopted, in which the grid around the near-wake is fined . The vorticity transport equation is solved by the two-stage Runge-Kutta method. The velocity Poisson equation is solved by LSOR method, then the non-divergence correction scheme is done to velocity. The computed results show that the reasonal choice of the suction position and strength can efficiently reduce the drag and lift forces, and get good flow control results.

关 键 词：有限差分法 涡量-速度形式的N-S方程 圆柱绕流 流动控制 

分 类 号：O357[理学—流体力学] O241[理学—力学]