Department of Mathematics
Simulating three-dimensional free surface viscoelastic flows using moving finite difference schemes
An efficient finite difference framework based on moving meshes methods is developed for the three-dimensional free surface viscoelastic flows. The basic model equations are based on the incompressible Navier-Stokes equations and the Oldroyd-B constitutive model for viscoelastic flows is adopted. A logical domain semi-Lagrangian scheme is designed for moving-mesh solution interpolation and convection. Numerical results show that harmonic map based moving mesh methods can achieve better accuracy for viscoelastic flows with free boundaries while using much less memory and computational time compared to the uniform mesh simulations. © 2011 Global-Science Press.
Free surface, Moving mesh, Solution interpolation, Viscoelastic flow
Source Publication Title
Numerical Mathematics -English Series-
Nanjing University Press ; Global Science Press
Link to Publisher's Edition
Zhang, Yubo, and Tao Tang. "Simulating three-dimensional free surface viscoelastic flows using moving finite difference schemes." Numerical Mathematics -English Series- 4.1 (2011): 92-112.