Department of Mathematics
Simulating two-phase viscoelastic flows using moving finite element methods
Phase-field models provide a way to model fluid interfaces as having finite thickness; the interface between two immiscible fluids is treated as a thin mixing layer across which physical properties vary steeply but continuously. One of the main challenges of this approach is in resolving the sharp gradients at the interface. In this paper, moving finite-elementmethods are used to simulate interfacial dynamics of two-phase viscoelastic flows. The finite-element scheme can easily accommodates complex flow geometry and the moving mesh strategy can cluster more grid points near the thin interfacial areaswhere the solutions have large gradients. A diffusedmonitor function is used to ensure high quality meshes near the interface. Several numerical experiments are carried out to demonstrate the effectiveness of the moving mesh strategy. © 2010 Global-Science Press.
Moving finite-element method, Non-Newtonian flow, Two-phase flow, Viscoelastic flow
Source Publication Title
Communications in Computational Physics
Global Science Press
Link to Publisher's Edition
Zhang, Yubo, Heyu Wang, and Tao Tang. "Simulating two-phase viscoelastic flows using moving finite element methods." Communications in Computational Physics 7.2 (2010): 333-349.