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Mesoscale simulations: Lattice Boltzmann and particle algorithms

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  • Yeomans, J.M.

Abstract

I introduce two mesoscale algorithms, lattice Boltzmann and stochastic rotation dynamics, and show how they can be used to investigate the hydrodynamics of complex fluids. For each method I describe the algorithm, show that it solves the Navier–Stokes equations, and then discuss physical problems where it is particularly applicable. For lattice Boltzmann the examples I choose are phase ordering in a binary fluid and drop dynamics on a chemically patterned surface. For stochastic rotation dynamics I consider the hydrodynamics of dilute polymer solutions, concentrating on shear thinning and translocation across a barrier.

Suggested Citation

  • Yeomans, J.M., 2006. "Mesoscale simulations: Lattice Boltzmann and particle algorithms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(1), pages 159-184.
    • Handle: RePEc:eee:phsmap:v:369:y:2006:i:1:p:159-184
    DOI: 10.1016/j.physa.2006.04.011
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    Cited by:

    1. Reyes-Arango, Denisse & Quintana-H., Jacqueline & Armas-Pérez, Julio C. & Híjar, Humberto, 2020. "Defects around nanocolloids in nematic solvents simulated by Multi-particle Collision Dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    2. Skartlien, R. & Furtado, K. & Sollum, E. & Meakin, P. & Kralova, I., 2011. "Lattice–Boltzmann simulations of dynamic interfacial tension due to soluble amphiphilic surfactant," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2291-2302.

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