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A lattice kinetic scheme for bubble flows.

Takaji Inamuro1, Takeshi Ogata

  • 1Department of Chemical Engineering, Katsura Campus, Kyoto University, Kyoto 615-8510, Japan. inamuro@cheme.kyoto-u.ac.jp

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|August 13, 2004
PubMed
Summary

A new lattice kinetic scheme effectively simulates two-phase immiscible fluid flows, even with density ratios up to 1000, by employing a projection method for stable interface and velocity field analysis.

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Area of Science:

  • Computational fluid dynamics
  • Multiphase flow modeling
  • Numerical methods for fluid mechanics

Background:

  • Simulating immiscible two-phase fluid flows, especially those with significant density differences, presents considerable numerical challenges.
  • Existing methods often struggle with stability and accuracy when dealing with large density ratios.

Purpose of the Study:

  • To develop and present a robust lattice kinetic scheme capable of handling two-phase immiscible fluid flows with large density ratios.
  • To resolve the difficulties associated with large density ratios in fluid flow simulations.
  • To validate the proposed method through a relevant application.

Main Methods:

  • Implementation of a lattice kinetic scheme.
  • Utilizing a projection method to overcome challenges posed by large density ratios.

Related Experiment Videos

  • Application to the simulation of multiple bubbles rising in a confined geometry (long square duct).

    • Main Results:

    • The developed method successfully simulates two-phase fluid flows with density ratios up to 1000.
    • Stable simulation of complex, unsteady interfacial structures was achieved.
    • Accurate simulation of the velocity field dynamics was demonstrated.

    Conclusions:

    • The lattice kinetic scheme with the projection method offers a stable and accurate approach for simulating two-phase immiscible flows with large density ratios.
    • This method enables the investigation of complex phenomena, such as bubble dynamics in confined flows.
    • The technique provides a valuable tool for researchers in computational fluid dynamics and related fields.