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Area of Science:

  • Computational Fluid Dynamics
  • Fluid Mechanics
  • Numerical Methods

Background:

  • The lattice Boltzmann method (LBM) is a powerful computational fluid dynamics tool.
  • A significant limitation of LBM is its inability to accurately simulate flows across a wide range of Mach numbers, particularly low Mach number flows.

Purpose of the Study:

  • To develop a generalized lattice Boltzmann model (LBM) capable of simulating the entire spectrum of fluid flows.
  • To overcome the low Mach number limitation inherent in traditional LBM schemes.

Main Methods:

  • Implementation of a multispeed lattice structure.
  • Accurate evaluation of equilibrium distribution functions.
  • Incorporation of entropic relaxation for the collision step.

Main Results:

  • The modified LBM successfully simulates flows from weakly compressible (low Mach) to transonic and supersonic regimes.
  • Demonstrated capability through simulations of a bow shock over an airfoil.
  • Validated by simulating decaying compressible turbulence featuring shocklets.

Conclusions:

  • The presented LBM offers a unified approach for simulating diverse fluid flow regimes.
  • The modifications significantly enhance the applicability of LBM in high-speed and complex flow scenarios.