二相流界面追跡シミュレーションのためのフェーズフィールド法

DOI DOI DOI PDF Web Site ほか1件をすべて表示 一部だけ表示 被引用文献7件 参考文献24件 オープンアクセス
  • 高田 尚樹
    独立行政法人 産業技術総合研究所 環境管理技術研究部門
  • 三澤 雅樹
    独立行政法人 産業技術総合研究所 先進製造プロセス研究部門
  • 冨山 明男
    神戸大学大学院自然科学研究科

書誌事項

タイトル別名
  • A Phase-Field Method for Interface-Tracking Simulation of Two-Phase Flows

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説明

For interface-tracking simulation of two-phase flows with a high density ratio, a computational method, NS-PFM, combining Navier-Stokes (NS) equations with a phase-field model (PFM) is proposed in this study. In accordance with the free energy theory, PFM describes an interface as a finite volumetric zone across which physical properties vary continuously. Surface tension is defined as an excessive free energy per unit area induced by the density gradient in the interface zone. The Cahn-Hilliard (CH) equation is used for predicting interface configuration. PFM therefore does not require any elaborating interface-tracking algorithms for predicting interface motion. The proposed NS-PFM is applied to several problems of incompressible, isothermal two-phase flow with the same density ratio as that of an air-water system. Numerical simulations demonstrate that, (1) the volume flux driven by local chemical potential gradient in the CH equation plays an important role in interfacial advection and reconstruction, (2) the NS-PFM gives good predictions for pressure increase inside a bubble caused by the surface tension, (3) predicted collapse of two-dimensional liquid column in a gas under gravity agrees well with available data, and (4) coalescence of free-fall single drop into a liquid film is successfully simulated in three dimensions, without using conventional interface-capturing/tracking techniques.

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