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@article{Plan:2017:10.1017/jfm.2017.267,
author = {Plan, ELCM and Gupta, A and Vincenzil, D and Gibbons, JD},
doi = {10.1017/jfm.2017.267},
journal = {Journal of Fluid Mechanics},
title = {Lyapunov dimension of elastic turbulence},
url = {http://dx.doi.org/10.1017/jfm.2017.267},
volume = {822},
year = {2017}
}

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TY  - JOUR
AB  - Low-Reynolds-number polymer solutions exhibit a chaotic behaviour known as ‘elastic turbulence’ when the Weissenberg number exceeds a critical value. The two-dimensional Oldroyd-B model is the simplest constitutive model that reproduces this phenomenon. To make a practical estimate of the resolution scale of the dynamics, one requires the assumption that an attractor of the Oldroyd-B model exists; numerical simulations show that the quantities on which this assumption is based are bounded. We estimate the Lyapunov dimension of this assumed attractor as a function of the Weissenberg number by combining a mathematical analysis of the model with direct numerical simulations.
AU  - Plan,ELCM
AU  - Gupta,A
AU  - Vincenzil,D
AU  - Gibbons,JD
DO  - 10.1017/jfm.2017.267
PY  - 2017///
SN  - 0022-1120
TI  - Lyapunov dimension of elastic turbulence
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/jfm.2017.267
UR  - http://hdl.handle.net/10044/1/57669
VL  - 822
ER  -

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