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Phys Rev E Stat Nonlin Soft Matter Phys. 2002 May;65(5 Pt 2):056704. Epub 2002 May 3.

Lattice Boltzmann method for viscoelastic fluids.

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  • 1Centre for the Physics of Materials, Physics Department, Rutherford Building, McGill University, 3600 rue University, Montréal, Québec, Canada, H3A 2T8.


A lattice Boltzmann model for viscoelastic flow simulation is proposed. Elastic effects are taken into account within the framework of a Maxwell model. To test the approach, we estimate the transverse velocity autocorrelation function for a freely evolving system, and find clear manifestations of shear at large frequencies. We then characterize boundary-driven shear waves, and the resonant enhancement of shear oscillations in a periodically driven fluid confined within a capillary. The measured shear-wave dispersion relation is compared to that obtained from the Navier-Stokes equation with a Maxwell viscoelastic term, and good agreement is obtained.

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