This paper shows the su cient conditions for the existence of a Lyapunov function in the class of quasi-polynomial dynamical systems. We focus on the cases where the system's parameters are numerically speciΓΏed. A numerical algorithm to analyze this problem is presented, which involves the resolutio
Numerical stability of the method of Brownian configuration fields
β Scribed by Claude Mangoubi; Martien A. Hulsen; Raz Kupferman
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 827 KB
- Volume
- 157
- Category
- Article
- ISSN
- 0377-0257
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β¦ Synopsis
We investigate numerical aspects of the Brownian configuration fields method, and in particular its numerical stability as the Weissenberg number increases. Our results show the method to be immune to the type of instability leading to numerical blowup in the simulation of macroscopic models. We discuss this finding in the light of the stability criterion proposed in Fattal et al. [R. Fattal, R. Kupferman, Time-dependent simulation of viscoelastic flows at high Weissenberg using the log-conformation representation, J. Non Newtonian Fluid Mech. 126 (2005) 23-37].
π SIMILAR VOLUMES
The various problems that are encountered in searching with ERATO the limits of stability of axisymmetric toroidal equilibria are described and illustrated with specific examples.