Lattice Boltzmann method for viscoelastic fluids

Details Lattice Boltzmann method for viscoelastic fluids Lattice Boltzmann method for viscoelastic fluids

2001-10-23

arxiv.org/abs/cond-mat/0110503v1

Physics

Condensed Matter

Materials Science

4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.65.056704

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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