SUPG方法解粘弹性流动问题

高Ｗｉ数下粘弹性流动的数值模拟一直是一个比较困难的研究领域，这主要是因为控制方程类型向双典型转变，常规Ｇａｌｅｒｋｉｎ有限元不适用于离散双曲型问题，计算结果产生失真振荡。本文采用原始变量的Ｎ－Ｓ方程和Ｏｌｄｒｏｙｄ－Ｂ本构方程，采用ＳＵＰＧ方法离散本构方程，计算了绕圆管内一珠的流动。计算结果表明，ＳＵＰＧ方法可以成功地用于离散本构方程，使计算的极限Ｗｉ数达到１．９。

Streamline-Upwind Petrov-Galerkin Finite Element method for Viscoelastic Flow

The numerical simulation of viscoelastic flow at high values of the Weissenberg number is a difficult problem in rheology.It was indeed found that numerical inaccuracy can produce artifical changes of type of the governing equations in their discrete version.The results ofGalerkin methods produced wiggles.We calculated the flow around a sphere in a tube using SUPG for discretizing the constitutive equation.SUPG finite element method is succesful for the calculation of viscoelastic flow,while the upper method.Limit for the Weissenberg number extends to 1.9.