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Consistent two-population lattice Boltzmann model for thermal flows.

I V Karlin1, D Sichau1, S S Chikatamarla1

  • 1Aerothermochemistry and Combustion Systems Lab, ETH Zurich, 8092 Zurich, Switzerland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 4, 2014
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Summary
This summary is machine-generated.

This study revisits two-population lattice Boltzmann equations for thermal flow simulations, conserving mass and momentum on one lattice and energy on another. This approach enhances thermal flow simulation accuracy and efficiency.

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Area of Science:

  • Computational Fluid Dynamics
  • Thermodynamics
  • Statistical Mechanics

Background:

  • Lattice Boltzmann methods are widely used for fluid flow simulations.
  • Existing models face challenges in accurately conserving energy in thermal flow simulations.
  • A need exists for improved theoretical frameworks for thermal flow simulations.

Purpose of the Study:

  • To revisit and refine the theory of two-population lattice Boltzmann equations for thermal flow simulations.
  • To develop a consistent division of conservation laws between two lattices.
  • To demonstrate the advantages of explicit energy conservation in model construction.

Main Methods:

  • Developed a novel theoretical framework for two-population lattice Boltzmann equations.
  • Ensured mass and momentum conservation on the first lattice.
  • Ensured energy conservation on the second lattice.
  • Specified the theory on standard lattices for thermal flow simulations.
  • Extended the formulation to subgrid entropic lattice Boltzmann models.

Main Results:

  • Successfully implemented a consistent division of conservation laws.
  • Demonstrated the advantages of energy conservation in the model.
  • Validated the theory with 2D simulations of planar Couette flow and natural convection.
  • Achieved accurate and efficient thermal flow simulations.

Conclusions:

  • The revisited two-population lattice Boltzmann theory provides an accurate and efficient method for thermal flow simulations.
  • Explicit energy conservation significantly improves model performance.
  • The developed framework is suitable for various thermal flow phenomena.