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Conservative phase-field lattice Boltzmann model for interface tracking equation.

Martin Geier1, Abbas Fakhari2, Taehun Lee2

  • 1TU Braunschweig, Institute for Computational Modeling in Civil Engineering (iRMB), TU-Braunschweig, Pockelsstrasse 3, 38106 Braunschweig, Germany.

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Summary
This summary is machine-generated.

We developed a new conservative lattice Boltzmann method for tracking fluid interfaces. This method conserves mass and offers a local approach for parallel computing, improving accuracy and stability in fluid dynamics simulations.

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Area of Science:

  • Computational fluid dynamics
  • Multiphase flow modeling

Background:

  • Accurate tracking of interfaces between different fluids is crucial in many scientific and engineering applications.
  • Existing lattice Boltzmann methods for two-phase flow often face challenges with mass conservation and computational efficiency.

Purpose of the Study:

  • To propose a conservative lattice Boltzmann method (LBM) for tracking fluid interfaces based on phase-field theory.
  • To develop a model that conserves mass locally and globally and recovers the conservative phase-field equation.

Main Methods:

  • Implementation of a conservative LBM incorporating phase-field theory.
  • Development of two distinct methods for calculating the phase-field gradient: one using finite-difference stencils and another using central moments.
  • Assessment of model accuracy and stability through benchmark problem simulations.

Main Results:

  • The proposed LBM model successfully conserves mass both locally and globally.
  • The central moments approach for gradient calculation results in a fully local method, suitable for parallel implementation, unlike the non-local finite-difference approach.
  • Benchmark tests confirm the accuracy and stability of the developed model.

Conclusions:

  • The conservative LBM with phase-field theory provides an accurate and mass-conserving approach for two-phase flow simulations.
  • The local gradient calculation method enhances computational efficiency and scalability for massive parallel processing.
  • This method offers a robust tool for simulating complex fluid interface dynamics.