Abstract
AbstractIn this work, a conservative phase‐field lattice Boltzmann method (LBM) is proposed for incompressible two‐phase flows. In this method, two LB models are adopted to solve the nonlocal Allen–Cahn equation (ACE) and the Navier–Stokes equations, respectively. Unlike the previous models for the nonlocal ACE with a space‐time‐dependent Lagrange multiplier, a simple multiple‐relaxation time LB model is designed for the conservative and nonlocal ACE with a curvature‐dependent Lagrange multiplier, which can eliminate the problem of inherent coarsening process. Through the Chapman–Enskog analysis, the present LB model can correctly recover the ACE, and the macroscopic order parameter used to label different phases can be calculated explicitly. Finally, the present LBM is validated by two tests, that is, the horizontal translation of two circular interfaces and a bubble rising under gravity, and the results show that the present LBM has a superior performance in capturing the large topological changes and small features of interfaces.
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