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Force approach for the pseudopotential lattice Boltzmann method.

L E Czelusniak1, V P Mapelli1, M S Guzella2

  • 1Heat Transfer Research Group, Department of Mechanical Engineering, São Carlos School of Engineering, University of São Paulo, São Carlos, SP, Brazil.

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Summary
This summary is machine-generated.

This study enhances the pseudopotential method for multiphase flow simulations by controlling surface tension and phase densities. The improved method ensures thermodynamic consistency and stability, accurately replicating macroscopic behaviors in complex scenarios.

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Area of Science:

  • Computational Fluid Dynamics
  • Multiphase Flow Simulation
  • Mesoscopic Physics

Background:

  • The original pseudopotential method offers simplicity but lacks thermodynamic consistency and precise surface tension control.
  • Existing improvements like multirange potentials and modified forcing schemes address these limitations.
  • A need exists for a unified approach combining these enhancements with nearest-neighbor interactions.

Purpose of the Study:

  • To devise a strategy combining pseudopotential method enhancements for improved thermodynamic consistency and surface tension control.
  • To implement an external force using the Guo forcing scheme based on a desired pressure tensor.
  • To analyze the physical consistency and stability of the enhanced method in various flow conditions.

Main Methods:

  • Developed a novel strategy integrating nearest-neighbor interactions with enhanced pseudopotential methods.
  • Implemented the external force using the classical Guo forcing scheme.
  • Conducted numerical tests including static flow, droplet oscillation, and droplet impact simulations.

Main Results:

  • Static tests confirmed accurate control of surface tension and phase densities, with a derived solution for phase densities in droplets.
  • Identified and analyzed a physical inconsistency in the pseudopotential method, dependent on the equation of state (EOS).
  • Demonstrated method stability and accuracy through droplet oscillation (7.5% deviation) and impact tests (density ratio ~2400, Re=373).

Conclusions:

  • The proposed method effectively controls surface tension and phase densities, enhancing thermodynamic consistency in pseudopotential simulations.
  • The Carnahan-Starling EOS parameters can mitigate identified physical inconsistencies.
  • The method proves stable and accurate for simulating complex multiphase flows, including high-density ratios and Reynolds numbers.