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首页> 外文期刊>Journal of Computational Physics >A conservative phase field method for solving incompressible two-phase flows
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A conservative phase field method for solving incompressible two-phase flows

机译：求解不可压缩两相流的保守相场方法

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摘要

In this paper a conservative phase-field method based on the work of Sun and Beckermann [Y. Sun, C. Beckermann, Sharp interface tracking using the phase-field equation, J. Comput. Phys. 220 (2007) 626-653] for solving the two- and three-dimensional two-phase incompressible Navier-Stokes equations is proposed. The present method can preserve the total mass as the Cahn-Hilliard equation, but the calculation and implementation are much simpler than that. The dispersion-relation-preserving schemes are utilized for the advection terms while the Helmholtz smoother is applied to compute the surface-tension force term. To verify the proposed method, several benchmarks are examined and shown to have good agreements with previous results. It also shows that the satisfactions of mass conservations are guaranteed.
机译：本文基于Sun和Beckermann [Y. Sun，C。Beckermann，使用相场方程，J。Comput的Sharp接口跟踪。物理[220（2007）626-653]提出了用于求解二维和三维两相不可压缩的Navier-Stokes方程。本方法可以将总质量保留为Cahn-Hilliard方程，但是计算和实现要简单得多。对流项使用色散关系保留方案，而亥姆霍兹平滑器用于计算表面张力项。为了验证所提出的方法，检查了几个基准，并证明它们与以前的结果具有良好的一致性。这也表明可以保证满足大规模守恒定律。

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