Simulating Three-Dimensional Free Surface Viscoelastic Flows using Moving Finite Difference Schemes

作     者：Yubo Zhang Tao Tang 

作者机构：Department of Computer Science2063 Kemper HallUniversity of California at DavisOne Shields AvenueDavisCA 95616-8562USA Department of MathematicsHong Kong Baptist UniversityKowloon TongKowloonHong Kong 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2011年第4卷第1期

页      面：92-112页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Moving mesh free surface viscoelastic flow solution interpolation 

摘      要：An efficient finite difference framework based on moving meshes methodsis developed for the three-dimensional free surface viscoelastic flows. The basic modelequations are based on the incompressible Navier-Stokes equations and the Oldroyd-Bconstitutive model for viscoelastic flows is adopted. A logical domain semi-Lagrangianscheme is designed for moving-mesh solution interpolation and convection. Numericalresults show that harmonic map based moving mesh methods can achieve better accuracy for viscoelastic flows with free boundaries while using much less memory andcomputational time compared to the uniform mesh simulations.