The subdivision-based IGA-EIEQ numerical scheme for the Cahn–Hilliard–Darcy system of two-phase Hele-Shaw flow on complex curved surfaces

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成果类型：

期刊论文

作者：

Pan, Qing;Huang, Yunqing;Chen, Chong;Yang, Xiaofeng;Zhang, Yongjie Jessica

通讯作者：

Yang, XF

作者机构：

[Pan, Qing] Changsha Univ Sci & Technol, Natl Ctr Appl Math Hunan, Sch Comp & Commun Engn, Changsha 410114, Peoples R China.

[Huang, Yunqing] Xiangtan Univ, Natl Ctr Appl Math Hunan, Xiangtan 411105, Peoples R China.

[Chen, Chong; Zhang, Yongjie Jessica] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China.

[Yang, Xiaofeng; Yang, XF] Univ South Carolina, Dept Math, Columbia, SC 29208 USA.

[Zhang, Yongjie Jessica] Carnegie Mellon Univ, Dept Mech Engn, Pittsburgh, PA 15213 USA.

通讯机构：

[Yang, XF ] U

Univ South Carolina, Dept Math, Columbia, SC 29208 USA.

语种：

英文

关键词：

IGA-EIEQ;Fully-decoupled;Unconditional energy stability;Cahn-Hilliard;Darcy

期刊：

Computer Methods in Applied Mechanics and Engineering

ISSN：

0045-7825

年：

2024

卷：

420

页码：

116709

DOI：

10.1016/j.cma.2023.116709

基金类别：

National Natural Science Foundation of China [12171147]; National Key R and D Program of China [2020YFA0713500]; National Natural Science Foundation of China [12322117, 12226008]; National Key Research and Development Program of China [2022YFC2504300, 2022YFC2504302]; National Science Foundation of USA [DMS-2012490, DMS-2309731]

机构署名：

本校为第一机构

院系归属：

计算机与通信工程学院

摘要：

This paper investigates the numerical approximation of a two-phase Hele-Shaw fluid flow system, which consists of a phase-field Cahn-Hilliard model coupled with the Darcy flow, confined on a complex curved surface. To avoid geometric errors caused by the surface approximation and additional approximation errors introduced by numerical methods, for spatial discretization, we consider the recently developed strategy of subdivision-based isogeometric analysis (IGA), where we can accurately represent complex surfaces of arbitrary topology due to its high smoothness and hierarchical refinement prop...

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The subdivision-based IGA-EIEQ numerical scheme for the Cahn–Hilliard–Darcy system of two-phase Hele-Shaw flow on complex curved surfaces

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