【摘要】 用拉格朗日 欧拉方法模拟计算了各种流场中牛顿流体的流动问题 ,并以此来验证该算法的正确性 .其中 ,对具有准确解的二维Poiseuille流动、Couette流动以及同心圆筒间的流动 ,将模拟得到的数值解与数学解析解直接加以比较 ;对没有准确解的绕圆柱的平面流动、平面收缩和扩张流动 ,将模拟结果同一些已经发表的模拟或实验结果相比较 .从文中可见 ,该方法得到的各种结果都是合理、准确的 .更多还原

【Abstract】 The Lagrangian\|eulerian method has been used to simulate two dimensional creeping flows of Newtonian fluids in various flow fields.For Poiseuille and Couette flow and flow between rotating cylinders,the numerical results have been directly examined by the analytical solutions. For the flow around a cylinder between parallel plates, the present results are compared with the previous reports given by Mitsoulis and Liu \%et al\%..The dimensionless drag of 130\^94 is consistent fair well with the values given by Mitsoulis (132\^31) and by Lu \%et al\%.(132\^34),respectively.For the flow through abrupt contraction geometry,the numerical results have been compared with the experimental observations of Nguyen and the numerical prediions of Viriyayuthakorn and Caswell. The size of the upstream vortex, measured in terms of a dimensionless re\|attachment length is 0.18,excellently agrees with the previous reports. For the flow through reounded re\|entrant corner,excellent agreement between the present results and the experimental observations of Walters and Webster is obtained. In conclusion, the Lagrangian-Eulerian method has predicted accurate results for all cases of the flows presented in this paper.更多还原