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Mohammad Hossein Saadat1, Benedikt Dorschner1, Ilya Karlin1

  • 1Department of Mechanical and Process Engineering, ETH Zurich, 8092 Zurich, Switzerland.

Entropy (Basel, Switzerland)
|April 30, 2021
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Summary
This summary is machine-generated.

A new lattice Boltzmann model formulation improves fluid dynamics simulations by correcting stress tensor errors. This enhanced model supports higher flow velocities and temperatures, increasing computational efficiency.

Keywords:
Galilean invarianceextended equilibriumlattice Boltzmann method

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Area of Science:

  • Computational fluid dynamics
  • Fluid mechanics
  • Numerical analysis

Background:

  • Conventional lattice Boltzmann models (LBM) exhibit stress tensor errors, limiting their accuracy at high flow velocities and certain temperatures.
  • These limitations restrict the applicability and efficiency of LBM in complex fluid dynamics simulations.

Purpose of the Study:

  • To introduce a unified formulation for LBM that addresses the stress tensor error.
  • To restore Galilean invariance and stress tensor isotropy in LBM.
  • To extend LBM applicability to higher flow velocities and temperatures, enhancing computational efficiency.

Main Methods:

  • Development of a unified LBM formulation incorporating an extended equilibrium.
  • Modification of the standard LBM to ensure Galilean invariance and stress tensor isotropy.
  • Validation through simulations of 2D and 3D benchmark fluid dynamics problems.

Main Results:

  • The proposed formulation successfully restores Galilean invariance and stress tensor isotropy.
  • The extended LBM accurately simulates fluid dynamics at higher flow velocities and temperatures.
  • The model demonstrates validity for stretched lattices, beneficial for flows with directional gradients.

Conclusions:

  • The unified LBM formulation offers a significant advancement for fluid dynamics simulations.
  • This enhanced model provides greater accuracy, broader applicability, and improved computational efficiency.
  • The validated model is suitable for diverse fluid dynamics problems, including turbulent flows.