TY - JOUR
T1 - Conservative Allen–Cahn equation with a nonstandard variable mobility
AU - Yang, Junxiang
AU - Li, Yibao
AU - Lee, Chaeyoung
AU - Kim, Junseok
N1 - 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). Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
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).
PY - 2020/2/1
Y1 - 2020/2/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85075220606&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85075220606&partnerID=8YFLogxK
U2 - 10.1007/s00707-019-02548-y
DO - 10.1007/s00707-019-02548-y
M3 - Article
AN - SCOPUS:85075220606
VL - 231
SP - 561
EP - 576
JO - Acta Mechanica
JF - Acta Mechanica
SN - 0001-5970
IS - 2
ER -