NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan
55th Japan National Congress for Theoretical and Applied Mechanics
Session ID : 2D02
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OS16
Application of Interface-Tracking Method Based on Phase-Field Model to Numerical Analysis of Free Surface Flow
*Naoki TakadaAkio Tomiyama
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Abstract
In this study, a new interface-tracking method, NS-PFM, combining Navier-Stokes (NS) equations with a phase-field model (PFM) is applied to an incompressible two-phase free surface flow problem at a high density ratio, which is equivalent to that of actual air-water system. Based on the Cahn-Hilliard, van-der-Waals free energy theory, PFM describes an interface as a finite volumetric zone across which physical properties have continuous strong variations. Surface tension is defined as an excessive free energy per unit area induced by local density gradient. Consequently, PFM simplifies the interface-tracking procedure on a fixed spatial grid without using conventional algorithms. Through numerical simulation of two-dimensional broken dam, it is confirmed that (1) the proposed NS-PFM successfully conducts computations of advection and reconstruction of gas-liquid interface using volume flux driven by chemical potential gradient, and (2) predicted collapse of liquid column in a gas under gravity agrees well with available data.
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© 2006 Committee for Mechanics and Structure,Science Council
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