Two-way coupled stabilized finite element method for transient thermal convection in irregular geometries with electromagnetic force fields
文献类型：期刊论文
| 作者 | Goraya, Shoaib A1; Zhu LX(朱力行)1,2,3; Masud, Arif1,4 |
| 刊名 | ENGINEERING WITH COMPUTERS
 |
| 出版日期 | 2025-09-04 |
| 页码 | 25 |
| 关键词 | Variational multiscale Finite element method Stabilized method Transient thermal convection Lorentz force Wavy wall |
| ISSN号 | 0177-0667 |
| DOI | 10.1007/s00366-025-02162-8 |
| 通讯作者 | Masud, Arif(amasud@illinois.edu) |
| 英文摘要 | A stabilized mixed finite element method is presented for a two-way coupled system of partial differential equations governing the transient thermal convection of nanofluids. The method employs a scale separation of the velocity and temperature fields into coarse and fine scales, facilitated by the Variational Multiscale (VMS) framework. This, combined with the consistent linearization of the fine-scale variational equations, yields a stabilized formulation with improved stability and accuracy. The explicit structure of the stabilization terms is derived through the direct application of a bubble function-based approach to the fine-scale variational equations. The formulation ensures full coupling between the mechanical and thermal phases and satisfies the inf-sup condition, enabling the use of equal-order Lagrange basis functions for all unknown fields. The resulting numerical method not only yields quadratic convergence of the nonlinear coupled equations, it also yields optimal convergence rates, both in space and time, for different element types and time marching schemes. The method is applied to transient thermal convection problems that include natural convection in irregular geometries and forced convection under the influence of electromagnetic force field. |
| 分类号 | 二类/Q1 |
| WOS关键词 | VARIATIONAL MULTISCALE METHOD ; NATURAL-CONVECTION ; HEAT-TRANSFER ; SCALE MODELS ; NANOFLUID ; SIMULATION ; ENCLOSURE ; VISCOSITY ; LAMINAR ; BUBBLES |
| 资助项目 | National Science Foundation[NSF-DMS-1620231] ; NSF Grant[EES-230063] ; NSF |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:001563920800001 |
| 资助机构 | National Science Foundation ; NSF Grant ; NSF |
| 其他责任者 | Masud, Arif |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/103620]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 作者单位 | 1.Univ Illinois, Grainger Coll Engn, Dept Civil & Environm Engn, Champaign, IL 61801 USA; 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Inst Mech, Beijing 100049, Peoples R China; 4.Univ Illinois, Grainger Coll Engn, Dept Mech Sci & Engn, Champaign, IL 61801 USA; |
| 推荐引用方式 GB/T 7714 | Goraya, Shoaib A,Zhu LX,Masud, Arif. Two-way coupled stabilized finite element method for transient thermal convection in irregular geometries with electromagnetic force fields[J]. ENGINEERING WITH COMPUTERS,2025:25. |
| APA | Goraya, Shoaib A,朱力行,&Masud, Arif.(2025).Two-way coupled stabilized finite element method for transient thermal convection in irregular geometries with electromagnetic force fields.ENGINEERING WITH COMPUTERS,25. |
| MLA | Goraya, Shoaib A,et al."Two-way coupled stabilized finite element method for transient thermal convection in irregular geometries with electromagnetic force fields".ENGINEERING WITH COMPUTERS (2025):25. |
入库方式： OAI收割
来源：力学研究所
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