Conservative Allen–Cahn equation with a nonstandard variable mobility

Junxiang Yang, Yibao Li, Chaeyoung Lee, Junseok Kim

Research output: Contribution to journalArticle

Abstract

In this article, we present the conservative Allen–Cahn equation with a nonstandard variable mobility. Unlike the classical variable mobility, the proposed nonstandard variable mobility has small value at the interface and large value away from the interface. As benchmark tests, we perform temporal evolutions of two droplets without velocity field, 2D droplet deformation under a simple shear flow, 2D droplet deformation under a swirling flow, and 3D droplet deformation under a shear flow. The numerical results of the proposed method demonstrate a remarkable accuracy in preserving interfaces. Moreover, the proposed method not only captures interface location but also maintains uniform interface transition layer thickness.

Original languageEnglish
JournalActa Mechanica
DOIs
Publication statusAccepted/In press - 2019 Jan 1

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanical Engineering

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