Skip to Main content Skip to Navigation
Reports

Free-energy-dissipative schemes for the Oldroyd-B model

Abstract : In this article, we analyze the stability of various numerical schemes for differential models of viscoelastic fluids. More precisely, we consider the prototypical Oldroyd-B model, for which a free energy dissipation holds, and we show under which assumptions such a dissipation is also satisfied for the numerical scheme. Among the numerical schemes we analyze, we consider some discretizations based on the log-formulation of the Oldroyd-B system proposed by Fattal and Kupferman, which have been reported to be numerically more stable than discretizations of the usual formulation in some benchmark problems. Our analysis gives some tracks to understand these numerical observations.
Document type :
Reports
Complete list of metadata

Cited literature [46 references]  Display  Hide  Download

https://hal.inria.fr/inria-00204620
Contributor : Rapport De Recherche Inria Connect in order to contact the contributor
Submitted on : Tuesday, January 15, 2008 - 1:58:05 PM
Last modification on : Friday, February 4, 2022 - 3:10:29 AM
Long-term archiving on: : Tuesday, September 21, 2010 - 3:04:42 PM

Files

RR-6413.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00204620, version 2
  • ARXIV : 0801.2248

Citation

Sébastien Boyaval, Tony Lelièvre, Claude Mangoubi. Free-energy-dissipative schemes for the Oldroyd-B model. [Research Report] RR-6413, INRIA. 2008, pp.53. ⟨inria-00204620v2⟩

Share

Metrics

Record views

311

Files downloads

265