Conservative Allen–Cahn equation with a nonstandard variable mobility

Junxiang Yang, Yibao Li, Chaeyoung Lee, Junseok Kim

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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
Pages (from-to)561-576
Number of pages16
JournalActa Mechanica
Issue number2
Publication statusPublished - 2020 Feb 1

Bibliographical note

Funding Information:
Y. B. Li is supported by National Natural Science Foundation of China (Nos. 11601416, 11631012). The corresponding author (J. S. Kim) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2019R1A2C1003053).

Publisher Copyright:
© 2019, Springer-Verlag GmbH Austria, part of Springer Nature.

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanical Engineering


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