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A fast and effective mass-conserved diffuse interface method and its application for simulating multiphase flow
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DOI：10.1016/j.camwa.2025.10.009.png)
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Abstract
En 中文
In this study, we aim to achieve mass conservation of multiphase flow simulation by adding a mass source term into the Allen-Cahn (A-C) equation. In addition, we propose a new three-dimensional (3D) mass-conserved lattice Boltzmann flux solver (MCLBFS) to simulate two-phase flows with a large density ratio. There are two major advantages of the new model: The first one is that it can ensure the mass conservation of the fluid system and no mass loss throughout the entire multiphase flow calculation process. Another merit is to use fewer uniform mesh points to achieve a clear capture of the phase interface, which is clearer than that produced by the traditional diffuse interface method and can greatly save computational costs. In addition, MCLBFS also retains the simplicity of the standard Lattice Boltzmann method (LBM) and the flexibility of LBFS, making it easy to modify according to specific needs. The excellent performance of the proposed 3D MCLBFS is demonstrated by some test examples of multiphase flows, including Laplace law, two bubbles merging, Reyleigh-Taylor instability and bubble rising.
Keywords:
Mass-conserved
Diffuse interface method
Modified Allen-Cahn equation
Lattice Boltzmann Flux Solver
Immiscible multiphase flow
Journal
C
IF:
2.5
Papers:
369
Citations:
1.8W