article

Sharp interface tracking using the phase-field equation

Authors:

C. BeckermannAuthors Info & Claims

Journal of Computational Physics, Volume 220, Issue 2

Pages 626 - 653

https://doi.org/10.1016/j.jcp.2006.05.025

Published: 01 January 2007 Publication History

Abstract

A general interface tracking method based on the phase-field equation is presented. The zero phase-field contour is used to implicitly track the sharp interface on a fixed grid. The phase-field propagation equation is derived from an interface advection equation by expressing the interface normal and curvature in terms of a hyperbolic tangent phase-field profile across the interface. In addition to normal interface motion driven by a given interface speed or by interface curvature, interface advection by an arbitrary external velocity field is also considered. In the absence of curvature-driven interface motion, a previously developed counter term is used in the phase-field equation to cancel out such motion. Various modifications of the phase-field equation, including nonlinear preconditioning, are also investigated. The accuracy of the present method is demonstrated in several numerical examples for a variety of interface motions and shapes that include singularities, such as sharp corners and topology changes. Good convergence with respect to the grid spacing is obtained. Mass conservation is achieved without the use of separate re-initialization schemes or Lagrangian marker particles. Similarities with and differences to other interface tracking approaches are emphasized.

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Sharp interface tracking using the phase-field equation

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cover image Journal of Computational Physics

Journal of Computational Physics Volume 220, Issue 2

January, 2007

429 pages

ISSN:0021-9991

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Copyright © Elsevier Inc. © 2006.

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Academic Press Professional, Inc.

United States

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Published: 01 January 2007

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He ZTan S(2024)On immiscibility preservation conditions of material interfaces in the generic five-equation modelJournal of Computational Physics10.1016/j.jcp.2024.113192513:COnline publication date: 15-Sep-2024
https://dl.acm.org/doi/10.1016/j.jcp.2024.113192
Tonicello NIhme M(2024)A high-order diffused-interface approach for two-phase compressible flow simulations using a discontinuous Galerkin frameworkJournal of Computational Physics10.1016/j.jcp.2024.112983508:COnline publication date: 1-Jul-2024
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