Simulating Two-Phase Viscoelastic Flows Using Moving Finite Element Methods

作     者：Yubo Zhang Heyu Wang Tao Tang 

作者机构：Department of MathematicsHong Kong Baptist UniversityKowloon TongHong Kong Department of MathematicsZhejiang UniversityHangzhouZhejiang 310027China 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2010年第7卷第2期

页      面：333-349页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0702[理学-物理学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：The research of the second author was supported by National Natural Science Foundation of China(No.10801120) 

主　　题：Moving finite-element method two-phase flow viscoelastic flow non-Newtonian flow 

摘      要：Phase-field models provide a way to model fluid interfaces as having finitethickness;the interface between two immiscible fluids is treated as a thin mixing layeracross which physical properties vary steeply but continuously. One of the main chal-lenges of this approach is in resolving the sharp gradients at the interface. In this paper,moving finite-element methods are used to simulate interfacial dynamics of two-phaseviscoelastic flows. The finite-element scheme can easily accommodates complex flowgeometry and the moving mesh strategy can cluster more grid points near the thin in-terfacial areas where the solutions have large gradients. A diffused monitor function isused to ensure high quality meshes near the interface. Several numerical experimentsare carried out to demonstrate the effectiveness of the moving mesh strategy.