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A lattice Boltzmann model with random dynamical constraints

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Abstract.

In this paper we introduce a modified lattice Boltzmann model (LBM) with the capability of mimicking a fluid system with dynamic heterogeneities. The physical system is modeled as a one-dimensional fluid, interacting with finite-lifetime moving obstacles. Fluid motion is described by a lattice Boltzmann equation and obstacles are randomly distributed semi-permeable barriers which constrain the motion of the fluid particles. After a lifetime delay, obstacles move to new random positions. It is found that the non-linearly coupled dynamics of the fluid and obstacles produces heterogeneous patterns in fluid density and non-exponential relaxation of two-time autocorrelation function.

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Authors and Affiliations

  1. Istituto Applicazioni Calcolo, CNR, Sezione di Bari, Via Amendola 122/D, 70126, Bari, Italy

    A. Lamura

  2. Istituto Applicazioni Calcolo, CNR, V.le del Policlinico 137, 00161, Roma, Italy

    S. Succi

Authors
  1. A. Lamura
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  2. S. Succi
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Corresponding author

Correspondence to A. Lamura.

Additional information

Received: 19 March 2004, Published online: 29 June 2004

PACS:

47.11. + j Computational methods in fluid dynamics - 05.70.Ln Nonequilibrium and irreversible thermodynamics

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Lamura, A., Succi, S. A lattice Boltzmann model with random dynamical constraints. Eur. Phys. J. B 39, 241–247 (2004). https://doi.org/10.1140/epjb/e2004-00187-8

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  • DOI: https://doi.org/10.1140/epjb/e2004-00187-8

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