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Lattice Boltzmann approach for complex nonequilibrium flows.

A Montessori1, P Prestininzi1, M La Rocca1

  • 1Department of Engineering, University of Rome, "Roma Tre" Via Vito Volterra 62, 00146 Rome, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 14, 2015
PubMed
Summary
This summary is machine-generated.

We developed a lattice Boltzmann method to simulate nonequilibrium fluid flows using Grad's extended hydrodynamics. This approach accurately predicts mass flow across various conditions, bridging hydrodynamic and ballistic regimes.

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Area of Science:

  • Computational physics
  • Fluid dynamics
  • Nonequilibrium thermodynamics

Background:

  • Grad's extended hydrodynamic approach offers a more comprehensive description of fluid behavior than classical hydrodynamics.
  • Simulating nonequilibrium flows is computationally challenging, especially across different Knudsen number regimes.
  • Lattice Boltzmann methods provide a powerful framework for simulating complex fluid dynamics.

Purpose of the Study:

  • To develop and validate a lattice Boltzmann realization of Grad's extended hydrodynamic approach.
  • To accurately model nonequilibrium fluid flows from the hydrodynamic to the ballistic regime.
  • To assess the method's performance in benchmark flow configurations.

Main Methods:

  • Utilized higher-order isotropic lattices within the lattice Boltzmann framework.
  • Implemented a higher-order regularization procedure to align with Grad's theory.
  • Applied the method to simulate flow across parallel plates and in three-dimensional porous media.

Main Results:

  • The lattice Boltzmann realization demonstrated excellent agreement with analytical and numerical solutions.
  • Accurate prediction of mass flow was achieved across the full range of Knudsen numbers.
  • The method successfully captured flow behavior from the hydrodynamic to the ballistic motion regime.

Conclusions:

  • The presented lattice Boltzmann method is a robust and accurate tool for simulating nonequilibrium flows.
  • This approach effectively bridges the gap between classical hydrodynamics and kinetic theory.
  • The validated method holds promise for applications in microfluidics and rarefied gas dynamics.