| 基于对数构型压力稳定分步算法的黏弹性流动模拟 |
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| 引用本文： | 王宣平,李锡夔.基于对数构型压力稳定分步算法的黏弹性流动模拟[J].计算物理,2011,28(6):853-860. |
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| 作者姓名： | 王宣平 李锡夔 |
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| 作者单位： | 大连理工大学工业装备结构分析国家重点实验室, 辽宁 大连 116023 |
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| 基金项目： | 国家自然科学基金(11072046,90715011,10590354,10672033); 国家973(2010CB731502)资助项目; 大连理工大学高性能计算平台提供支持 |
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| 摘 要： | 利用近年来发展的对数构型方法,通过有限增量过程引入稳定化机制,提出对数构型压力稳定分步算法,显著降低每个迭代步的计算量,避免对构型张量梯度的差分近似.引入压力稳定化机制,不仅避开了LBB条件的限制、允许待求变量采用等低阶插值,且显著地增强了算法稳定性.黏弹性流体圆柱绕流问题的数值模拟表明,对数构型压力稳定分步算法具有优良的稳定性和精度.
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| 关 键 词： | 粘弹性 对数构型张量 分步算法 压力稳定 有限元 |
| 收稿时间： | 2010-11-24 |
| 修稿时间： | 2011-03-31 |
Log-conformation-based Pressure-stabilized Fractional Step Algorithm for Viscoelastic Flows |
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| WANG Xuanping,LI Xikui.Log-conformation-based Pressure-stabilized Fractional Step Algorithm for Viscoelastic Flows[J].Chinese Journal of Computational Physics,2011,28(6):853-860. |
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| Authors: | WANG Xuanping LI Xikui |
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| Institution: | State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, China |
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| Abstract: | Based on log-conformation method developed recently,a log-conformation-based fractional step algorithm with stabilization mechanism is proposed by virtue of the finite increment calculus(FIC) process.The algorithm remarkably reduces computational cost within each iteration step compared with existed coupled solution schemes.Meanwhile it bypasses finite difference approximation for gradient of conformation tensor.As FIC process is introduced as pressure stabilization mechanism,restrictions on u-p interpolati... |
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| Keywords: | Viscoelasticity log-conformation tensor fractional step algorithm pressure stabilization finite element method |
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