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Pressure evolution lattice-Boltzmann-equation method for two-phase flow with phase change.

Taehun Lee1, Ching-Long Lin

  • 1Department of Mechanical and Industrial Engineering, IIHR-Hydroscience & Engineering, The University of Iowa, Iowa City, IA 52242, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 6, 2003
PubMed
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This study introduces a novel lattice-Boltzmann-equation method for simulating nonideal gas two-phase flow with phase change. The new approach enhances numerical stability and accurately models fluid compressibility during phase transitions.

Area of Science:

  • Computational fluid dynamics
  • Thermodynamics
  • Nonideal fluid behavior

Background:

  • Simulating two-phase flow with phase change in nonideal gases presents numerical challenges.
  • Existing methods often suffer from spurious pressure fluctuations at phase interfaces.

Purpose of the Study:

  • To develop an improved lattice-Boltzmann-equation method for simulating isothermal two-phase fluid flow with phase change.
  • To enhance numerical stability and accurately capture fluid compressibility during phase transitions.

Main Methods:

  • A lattice-Boltzmann-equation method was augmented with a pressure evolution equation derived from the equation of state for nonideal gases.
  • The pressure field was evolved using this new equation, rather than direct updates from the equation of state.

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Main Results:

  • The proposed method successfully avoided spurious pressure fluctuations at phase interfaces.
  • It accurately permitted fluid compressibility during phase change induced by pressure variations.
  • Numerical simulations of an isothermal phase change process showed excellent agreement with the analytical solution.

Conclusions:

  • The novel pressure evolution equation enhances the numerical stability of lattice-Boltzmann methods for nonideal gas two-phase flow.
  • This approach provides a more accurate simulation of phase change processes involving compressibility.