为验证拉格朗日 欧拉方法的准确性 ,对高分子溶液的 4∶1平面收缩流动问题进行了数值模拟 ,采用单松弛时间的PhanThien Tanner本构方程 ,得到PIB/C1 4溶液在De =3 0的收缩流动的计算结果 ,同Quinzani等所做的收缩流动实验中的稳态流场物理量的测量结果进行了比较 ,在定量上取得较好的一致性 .证明拉格朗日 欧拉方法能够在定性上乃至在定量上准确地预报高分子复杂流体的流动行为 ,在描述真实的物理过程时是合理、准确的 . In order to verify the accuracy of the Lagrange Eulerian method, the 4: 1 plane shrinkage problem of polymer solution was numerically simulated. The PhanThien Tanner’s constitutive equation with single relaxation time was used to obtain the PIB / C1 4 solution at De = The calculated results of the contracted flow of 30 are compared with those of the steady-state flow field measured by Quinzani et al in the experiment of contractile flow to obtain a good agreement in quantitative analysis. It is proved that the Lagrange Eulerian method It is reasonable and accurate to describe the flow behavior of polymer complex fluids both qualitatively and quantitatively.