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Lattice Boltzmann method for viscoelastic fluids

Iaroslav Ispolatov·Martin Grant
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Abstract

Lattice Boltzmann model for viscoelastic flow simulation is proposed; elastic effects are taken into account in the framework of Maxwell model. The following three examples are studied using the proposed approach: a transverse velocity autocorrelation function for free evolving system with random initial velocities, a boundary-driven propagating shear waves, and a resonant enhancement of oscillations in a periodically driven fluid in a capillary. The measured shear wave dispersion relation is found to be in a good agreement with the theoretical one derived for the Navier-Stokes equation with the Maxwell viscoelastic term.

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Iaroslav Ispolatov, Martin Grant. 2001-10-23. Lattice Boltzmann method for viscoelastic fluids. https://doi.org/10.1103/physreve.65.056704

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