Mathematics – Numerical Analysis
Scientific paper
2008-01-15
Mathematics
Numerical Analysis
Scientific paper
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.
Boyaval Sébastien
Lelievre Tony
Mangoubi Claude
No associations
LandOfFree
Free-energy-dissipative schemes for the Oldroyd-B model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Free-energy-dissipative schemes for the Oldroyd-B model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Free-energy-dissipative schemes for the Oldroyd-B model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-150716