A highly accurate bound-preserving phase field method for incompressible two-phase flows
文献类型：期刊论文
| 作者 | Xiao, Yao; Zeng, Zhong; Zhang, Liangqi; Wang JZ(王静竹); Wang YW(王一伟) ; Liu, Hao2; Huang CG(黄晨光)
|
| 刊名 | PHYSICS OF FLUIDS
 ; 9
|
| 出版日期 | 2022-09 |
| 卷号 | 34页码:92103 |
| ISSN号 | 1070-6631 |
| DOI | 10.1063/5.0103277 |
| 英文摘要 | In this paper, we propose a phase-field-based spectral element method by solving the Navier-Stokes/Cahn-Hilliard equations for incompressible two-phase flows. With the use of the Newton-Raphson method for the Cahn-Hilliard equation and the time-stepping scheme for the Navier-Stokes equation, we construct three constant (time-independent) coefficient matrixes for the solutions of velocity, pressure, and phase variable. Moreover, we invoke the modified bulk free energy density to guarantee the boundness of the solution for the Cahn-Hilliard equation. The above strategies enhanced computation efficiency and accurate capture of the interfacial dynamics. For the canonical tests of diagonal motion of a circle and Zalesak's disk rotation, the lowest relative errors for the interface profile in contrast to the published solutions highlight the high accuracy of the proposed approach. In contrast to our previous work, the present method approximately produces only one tenth relative errors after one rotation cycle but saves 27.2% computation cost. Furthermore, we note that the mobility parameter adopted appears to produce convergent solutions for the phase field but the distribution of the chemical potential remains divergent, which thereby results in diverse coalescence processes in the two merging droplets example. Therefore, a criterion for the choice of the mobility parameter is proposed based on these observations, i.e., the mobility adopted should ensure the convergence solution for the chemical potential. Finally, the rising bubble is presented to verify the proposed method's versatility under large density (1000) and viscosity contrasts (100), and its advantage in efficiency over previous solver is manifested by 44.9% savings in computation cost. Published under an exclusive license by AIP Publishing. |
| 学科主题 | Mechanics ; Physics, Fluids & Plasmas |
| 分类号 | 一类/力学重要期刊 |
| 语种 | 英语 |
| WOS记录号 | WOS:000859325200006 |
| 资助机构 | National Natural Science Foundation of China ; Fundamental Research Funds for the Central Universities ; Science and Technology Research Program of Chongqing Municipal Education Commission ; [12172070] ; [12102071] ; [2021CDJQY-055] ; [KJQN202100706] |
| 其他责任者 | Zeng, Z ; Zhang, LQ (corresponding author), Chongqing Univ, Coll Aerosp Engn, Chongqing 400044, Peoples R China. |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/90210]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
| 作者单位 | 1.Chongqing Jiaotong Univ, Chongqing Southwest Res Inst Water Transport Engn, Chongqing 400016, Peoples R China 2.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China 3.Chongqing Univ, Coll Aerosp Engn, Chongqing 400044, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xiao, Yao,Zeng, Zhong,Zhang, Liangqi,et al. A highly accurate bound-preserving phase field method for incompressible two-phase flows[J]. PHYSICS OF FLUIDS, 9,2022,34:92103. |
| APA | Xiao, Yao.,Zeng, Zhong.,Zhang, Liangqi.,王静竹.,王一伟.,...&黄晨光.(2022).A highly accurate bound-preserving phase field method for incompressible two-phase flows.PHYSICS OF FLUIDS,34,92103. |
| MLA | Xiao, Yao,et al."A highly accurate bound-preserving phase field method for incompressible two-phase flows".PHYSICS OF FLUIDS 34(2022):92103. |
入库方式： OAI收割
来源：力学研究所
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