In this paper, a discontinuous finite element method is presented for the fourth-order nonlinear Cahn-Hilliard equation that models multiphase flows together with the Navier-Stokes equations. A flux scheme suitable for the method is proposed and analyzed together with numerical results. The model is applied to simulate the droplet movement and numerical results are presented.
Phase-Field Modeling of Droplet Movement Using the Discontinuous Finite Element Method
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Chen, H, Shu, Y, Li, BQ, Mohanty, P, & Sengupta, S. "Phase-Field Modeling of Droplet Movement Using the Discontinuous Finite Element Method." Proceedings of the ASME 2007 International Mechanical Engineering Congress and Exposition. Volume 8: Heat Transfer, Fluid Flows, and Thermal Systems, Parts A and B. Seattle, Washington, USA. November 11–15, 2007. pp. 1613-1620. ASME. https://doi.org/10.1115/IMECE2007-43368
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