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Related Concept Videos

Adiabatic Processes for an Ideal Gas01:18

Adiabatic Processes for an Ideal Gas

When an ideal gas is compressed adiabatically, that is, without adding heat, work is done on it, and its temperature increases. In an adiabatic expansion, the gas does work, and its temperature drops. Adiabatic compressions actually occur in the cylinders of a car, where the compressions of the gas-air mixture take place so quickly that there is no time for the mixture to exchange heat with its environment. Nevertheless, because work is done on the mixture during the compression, its...
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Lattice Boltzmann method for adiabatic acoustics.

Yanbing Li1, Xiaowen Shan

  • 1Exa Corporation, Burlington, MA 01803, USA.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|May 4, 2011
PubMed
Summary
This summary is machine-generated.

The lattice Boltzmann method (LBM) can now simulate adiabatic sound waves in computational aero-acoustics. This advancement extends LBM

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Area of Science:

  • Computational fluid dynamics
  • Aero-acoustics
  • Kinetic theory

Background:

  • The lattice Boltzmann method (LBM) is widely used in computational fluid dynamics.
  • Historically, LBM applications in computational aero-acoustics (CAA) were limited to isothermal sound wave simulations.
  • Recent advancements provide a theoretical framework to extend LBM beyond isothermal conditions.

Purpose of the Study:

  • To demonstrate the capability of LBM in simulating adiabatic sound waves in CAA.
  • To extend the application of LBM to non-isothermal sound wave simulations.

Main Methods:

  • Utilizing a kinetic theory-based reformulation of LBM.
  • Ensuring adequate recovery of the full Navier-Stokes-Fourier (NS) equations.
  • Simulating low-frequency adiabatic sound waves.

Main Results:

  • LBM accurately simulates adiabatic sound waves at low frequencies.
  • The method's accuracy depends on lattice design and distribution function for NS equation recovery.

Conclusions:

  • LBM can be effectively applied to simulate adiabatic sound waves in CAA.
  • This extends LBM's utility beyond isothermal simulations, opening new research avenues.