Simulating three-dimensional free surface viscoelastic flows using moving finite difference schemes

Yubo Zhang*, Tao TANG

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)92-112
Number of pages21
JournalNumerical Mathematics
Volume4
Issue number1
DOIs
Publication statusPublished - Feb 2011

Scopus Subject Areas

  • Modelling and Simulation
  • Control and Optimization
  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Free surface
  • Moving mesh
  • Solution interpolation
  • Viscoelastic flow

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