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| A WCCBS_SU method for solving weakly compressible visco-elastic flow problems |
| Received:August 22, 2009 Revised:May 04, 2010 |
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| DOI：10.7511/jslx201104017 |
| KeyWord:weakly compressible CBS visco-elasticity Weissenberg number Oldroyd-B |
| Author | Institution |
| 栗雪娟 |
西北工业大学 应用数学系, 西安 |
| 欧阳洁 |
西北工业大学 应用数学系, 西安 |
| 蒋涛 |
西北工业大学 应用数学系, 西安 |
| 张小华 |
三峡大学 理学院, 宜昌 |
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| Abstract: |
| A WCCBS_SU method based on Oldroyd-B constitutive model is developed for solving the weakly compressible visco-elastic flow problems. The planar Poiseuille visco-elastic flow and the 4:1 contraction visco-elastic flow are simulated by WCCBS_SU method under weakly compressible condition. Comparisons between the numerical and analytic solutions for the Poiseuille flow show high accuracy and better stability of the method. In the simulation of the 4:1 contraction visco-elastic flow, the changes of the stream lines and stresses and growing of the lip vortex and salient corner vortex versus the Weissenberg numbers are discussed. All the numerical results show that WCCBS_SU method developed in this paper is valid for the weakly compressible visco-elastic flow problems. |