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H Yoo1, G Wissocq1, J Jacob1

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Summary
This summary is machine-generated.

This study enhances the Lattice Boltzmann Method (LBM) for simulating high Mach number flows with moving geometries. The new approach improves stability and accuracy, enabling complex fluid dynamics simulations.

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Area of Science:

  • Computational Fluid Dynamics
  • Fluid Mechanics
  • Numerical Analysis

Background:

  • The Lattice Boltzmann Method (LBM) faces numerical instability challenges at high Mach and Reynolds numbers, limiting its use in complex scenarios like moving geometries.
  • Simulating compressible flows with moving boundaries requires robust numerical methods that maintain stability and accuracy.

Purpose of the Study:

  • To develop and validate a Lattice Boltzmann Method (LBM) scheme for simulating high Mach number compressible flows involving moving geometries.
  • To extend the applicability of LBM to complex fluid dynamics problems by addressing numerical stability and accuracy concerns.

Main Methods:

  • Combined the compressible LBM with rotating overset grids (Chimera method).
  • Utilized a compressible hybrid recursive regularized collision model with fictitious forces in a noninertial rotating reference frame.
  • Employed polynomial interpolations for grid communication and coupled LBM with the MUSCL-Hancock scheme for thermal effects.

Main Results:

  • Extended the Mach stability limit for rotating grids in LBM simulations.
  • Maintained second-order accuracy comparable to the classic LBM through advanced numerical techniques.
  • Achieved excellent agreement in aerodynamic coefficients with experimental data and finite-volume methods.

Conclusions:

  • The proposed LBM approach effectively simulates high Mach compressible flows with moving geometries.
  • The method demonstrates enhanced stability and accuracy, overcoming previous limitations of LBM.
  • This work provides a validated framework for LBM applications in complex fluid dynamics scenarios.