Energy dissipative characteristic schemes for the diffusive Oldroyd-B viscoelastic fluid

Mária Lukáčová-Medvid'ová, Hirofumi Notsu, Bangwei She*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


In this paper, we propose new energy dissipative characteristic numerical methods for the approximation of diffusive Oldroyd-B equations that are based either on the finite element or finite difference discretization. We prove energy stability of both schemes and illustrate their behavior on a series of numerical experiments. Using both the diffusive model and the logarithmic transformation of the elastic stress, we are able to obtain methods that converge as mesh parameter is refined.

Original languageEnglish
JournalInternational Journal for Numerical Methods in Fluids
Publication statusAccepted/In press - 2015


  • Characteristic finite difference
  • Characteristic finite element
  • Energy stable
  • High Weissenberg
  • Logarithmic transformation
  • Viscoelastic fluids

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics
  • Applied Mathematics
  • Mechanical Engineering
  • Mechanics of Materials


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