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中文摘要：
在石油、化工和材料等工业领域，存在大量黏弹性流动现象，如石油管道输送、聚合物加工成型和纸浆的流动等。研究这些流动对指导工业生产具有非常重要的现实意义。随着计算机和计算流体力学的发展，黏弹性流体流动的数值研究日益活跃。目前，模拟聚合物复杂流动最常用的两种方法是连续性（宏观）方法和微观一宏观（多尺度）方法，
英文摘要：
Deterministic simulation approach was which, the SIMPLE algorithm based on collocated applied to simulating viscoelastic complex flows, in grid was used to solve the conservation equations on the macroscopic level and the spectral method was used to solve the Fokker-Planck equation on the mesoscopic level. Here, the transient 4 ： 1 planar contraction flow for dilute polymer solution was computed by using the coupled technique and the calculated polymeric stress distributions at steady state were identical with the results of continuum approach as well as the corresponding references. Therefore, the presented results indicated that the SIMPLE algorithm based on collocated grid coupled with the spectral method can be used to simulate viscoelastic complex flows effectively. Moreover, the influence of Deborah number and viscosity ratio on polymeric stress was also investigated.
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