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Pressure evolution lattice-Boltzmann-equation method for two-phase flow with phase change
Journal article   Peer reviewed

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

Taehun Lee and Ching-Long Lin
Physical review. E, Statistical, nonlinear, and soft matter physics, Vol.67(5 Pt 2), pp.056703-056703
05/2003
DOI: 10.1103/PhysRevE.67.056703
PMID: 12786318

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Abstract

A lattice-Boltzmann-equation method for nonideal gases augmented by the pressure evolution equation is proposed to simulate isothermal two-phase fluid flow with phase change. The pressure evolution equation is derived by taking time derivative of the equation of state for nonideal gases. Unlike previous methods that use the equation of state to update pressure, the pressure field is evolved using the pressure evolution equation. The new approach has two advantages. First, it can avoid spurious pressure fluctuations at phase interfaces that develop owing to the pressure update by the equation of state, thus improving numerical stability of the method. Second, it permits compressibility of the fluid at phase interfaces when phase change occurs due to pressurization and depressurization. The proposed method is applied to simulate an isothermal phase change process. The numerical result is in excellent agreement with the analytical solution.

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