Conservative Allen–Cahn equation with a nonstandard variable mobility

Junxiang Yang; Yibao Li; Chaeyoung Lee; Junseok Kim

doi:10.1007/s00707-019-02548-y

Conservative Allen–Cahn equation with a nonstandard variable mobility

Junxiang Yang, Yibao Li, Chaeyoung Lee, Junseok Kim

Department of Mathematics

Research output: Contribution to journal › Article

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 language	English
Journal	Acta Mechanica
DOIs	https://doi.org/10.1007/s00707-019-02548-y
Publication status	Accepted/In press - 2019 Jan 1

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Shear flow

Swirling flow

ASJC Scopus subject areas

Computational Mechanics
Mechanical Engineering

Cite this

Yang, J., Li, Y., Lee, C., & Kim, J. (Accepted/In press). Conservative Allen–Cahn equation with a nonstandard variable mobility. Acta Mechanica. https://doi.org/10.1007/s00707-019-02548-y

Conservative Allen–Cahn equation with a nonstandard variable mobility. / Yang, Junxiang; Li, Yibao; Lee, Chaeyoung; Kim, Junseok.

In: Acta Mechanica, 01.01.2019.

Research output: Contribution to journal › Article

Yang, J, Li, Y, Lee, C & Kim, J 2019, 'Conservative Allen–Cahn equation with a nonstandard variable mobility', Acta Mechanica. https://doi.org/10.1007/s00707-019-02548-y

Yang J, Li Y, Lee C, Kim J. Conservative Allen–Cahn equation with a nonstandard variable mobility. Acta Mechanica. 2019 Jan 1. https://doi.org/10.1007/s00707-019-02548-y

Yang, Junxiang ; Li, Yibao ; Lee, Chaeyoung ; Kim, Junseok. / Conservative Allen–Cahn equation with a nonstandard variable mobility. In: Acta Mechanica. 2019.

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10.1007/s00707-019-02548-y