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Related Experiment Videos

Single relaxation time model for entropic lattice Boltzmann methods.

Santosh Ansumali1, Iliya V Karlin

  • 1Department of Materials, Institute of Polymers, ETH-Zürich, ETH-Zentrum, Sonneggstrasse 3, ML J 19, CH-8092 Zürich, Switzerland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 13, 2002
PubMed
Summary

We developed a new collision integral for entropy-based lattice Boltzmann methods, simplifying transport coefficient identification and enhancing stability in hydrodynamic simulations.

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Area of Science:

  • Computational physics
  • Fluid dynamics
  • Numerical methods

Background:

  • Lattice Boltzmann methods (LBM) are widely used for simulating fluid dynamics.
  • Entropy functions in LBM offer theoretical advantages but can be complex to implement.
  • Identifying transport coefficients and constructing equilibrium states are key challenges in LBM.

Purpose of the Study:

  • To derive a novel collision integral for entropy-based LBM.
  • To simplify the identification of transport coefficients.
  • To improve the stability of LBM simulations.

Main Methods:

  • Derivation of a collision integral based on entropy functions.
  • Implementation of the derived method for two-dimensional hydrodynamics.
  • Comparison of stability with conventional LBM schemes.

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Main Results:

  • A new collision integral was successfully derived.
  • The method allows for straightforward identification of transport coefficients.
  • The two-dimensional hydrodynamics implementation showed significantly improved stability.

Conclusions:

  • The developed collision integral offers a more direct approach to LBM analysis.
  • Entropy-based LBM with this collision integral provides enhanced numerical stability.
  • This work advances the application of LBM in computational fluid dynamics.