A sharp interface multiphase flow model for two-dimensional water impact of a symmetric and asymmetric wedge

In the engineering field, it is necessary to construct a numerical model that can reproduce multiphase flows containing three or more phases with high accuracy. In our previous study, by extending the conservative Allen–Cahn (CAC) model, which is computationally considerably more efficient than the conventional Cahn–Hilliard (CH) model, to the multiphase flow problem with three or more phases, we developed the conservative Allen–Cahn type multi-phase-field (CAC–MPF) model. In this study, we newly construct the improved CAC–MPF model by modifying the Lagrange multiplier term of the previous CAC–MPF model to a conservative form. The accuracy of the improved CAC–MPF model is evaluated through a comparison of five models: three CAC–MPF models and two CH–MPF models. The results indicate that the improved CAC–MPF model can accurately and efficiently perform simulations of multiphase flows with three or more phases while maintaining the same level of volume conservation as the CH model. We expect that the improved CAC–MPF model will be applied to various engineering problems with multiphase flows with high accuracy. Graphic abstract

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Highly conservative Allen–Cahn-type multi-phase-field model and evaluation of its accuracy

Aihara

Tsuji

Takaki

2023

Theor. Comput. Fluid Dyn.

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Zhu

Gou

Peng

et al. 2022

Journal of Hydrology

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An efficient three-dimensional multiphase fluid structure interaction model on GPU for water impact of a moving body with complex geometries

et al. 2022

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A sharp interface multiphase flow model for two-dimensional water impact of a symmetric and asymmetric wedge

Cited by 8 publications

References 54 publications

Highly conservative Allen–Cahn-type multi-phase-field model and evaluation of its accuracy

Highly conservative Allen–Cahn-type multi-phase-field model and evaluation of its accuracy

Quantifying the role of openings in the impact of a dam-break-induced flood on a porous building

An efficient three-dimensional multiphase fluid structure interaction model on GPU for water impact of a moving body with complex geometries

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