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Overrelaxation in a diffusive integer lattice gas.

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|July 20, 2022
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Summary
This summary is machine-generated.

Standard lattice gas methods have limited transport parameters compared to lattice Boltzmann methods. This study demonstrates over-relaxation for integer lattice gases by adding a flipping operation, enabling a multirelaxation time scheme.

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Area of Science:

  • Computational physics
  • Fluid dynamics
  • Numerical methods

Background:

  • Standard lattice gas methods offer limited transport parameter ranges.
  • Lattice Boltzmann methods commonly use over-relaxation for small transport parameters.
  • Achieving small transport parameters is crucial for simulating various physical phenomena.

Purpose of the Study:

  • To demonstrate the feasibility of implementing over-relaxation in integer lattice gas models.
  • To extend the range of achievable transport parameters in lattice gas simulations.
  • To bridge the gap between lattice gas and lattice Boltzmann methods regarding parameter flexibility.

Main Methods:

  • Focusing on lattice gases for the diffusion equation for simplicity.
  • Introducing a flipping operation to the standard lattice gas model.
  • Analyzing the resulting scheme in the Boltzmann limit.

Main Results:

  • Successfully implemented over-relaxation for integer lattice gases.
  • The addition of a flipping operation transforms the lattice gas into a multirelaxation time lattice Boltzmann scheme.
  • Demonstrated over-relaxation capabilities within the Boltzmann limit.

Conclusions:

  • Over-relaxation is achievable in integer lattice gas models.
  • The proposed method enhances the flexibility of lattice gas simulations.
  • This work integrates features of lattice Boltzmann methods into lattice gas models.