Asymptotic-analysis-inspired boundary conditions aiming at eliminating polymer diffusive instability
文献类型：期刊论文
| 作者 | Dong, Ming2; Wan, Dongdong1 |
| 刊名 | JOURNAL OF FLUID MECHANICS
 |
| 出版日期 | 2025-09-29 |
| 卷号 | 1020页码:34 |
| 关键词 | shear-flow instability viscoelasticity |
| ISSN号 | 0022-1120 |
| DOI | 10.1017/jfm.2025.10650 |
| 通讯作者 | Dong, Ming(dongming@imech.ac.cn) |
| 英文摘要 | The recent discovery of polymer diffusive instability (PDI) by Beneitez et al. (2023 Phys. Rev. Fluids 8, L101901), poses challenges in implementing artificial conformation diffusion (ACD) in transition simulations of viscoelastic wall-shear flows. In this paper, we demonstrate that the unstable PDI is primarily induced by the conformation boundary conditions additionally introduced in the ACD equation system, which could be eliminated if a new set of conformation conditions is adopted. To address this issue, we begin with an asymptotic analysis of the PDI within the near-wall thin diffusive layer, which simplifies the complexity of the instability system by reducing the number of the controlling parameters from five to zero. Then, based on this simplified model, we construct a stable asymptotic solution that minimises the perturbations in the wall sublayer. From the near-wall behaviour of this solution, we derive a new set of conformation boundary conditions, prescribing a Neumann-type condition for its streamwise stretching component, $c_{11}$ , and Dirichlet-type conditions for all the other conformation components. These boundary conditions are subsequently validated within the original ACD instability system, incorporating both the Oldroyd-B and the finitely extensible nonlinear elastic Peterlin constitutive models. Finally, we perform direct numerical simulations based on the traditional and the new conformation conditions, demonstrating the effectiveness of the latter in eliminating the unstable PDI. Importantly, this improvement does not affect the calculations of other types of instabilities. Therefore, this work offers a promising approach for achieving reliable polymer-flow simulations with ACD, ensuring both numerical stability and accuracy. |
| WOS关键词 | STABILITY ; FLOW |
| 资助项目 | National Natural Science Foundation of China[92371104] ; National Natural Science Foundation of China[12588201] ; CAS project for Young Scientists in Basic Research[YSBR-087] ; Strategic Priority Research Program of Chinese Academy of Sciences[XDB0620102] |
| WOS研究方向 | Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:001582225700001 |
| 资助机构 | National Natural Science Foundation of China ; CAS project for Young Scientists in Basic Research ; Strategic Priority Research Program of Chinese Academy of Sciences |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/104098]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 通讯作者 | Dong, Ming |
| 作者单位 | 1.Natl Univ Singapore, Dept Mech Engn, 9 Engn Dr 1, Singapore 117575, Singapore 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dong, Ming,Wan, Dongdong. Asymptotic-analysis-inspired boundary conditions aiming at eliminating polymer diffusive instability[J]. JOURNAL OF FLUID MECHANICS,2025,1020:34. |
| APA | Dong, Ming,&Wan, Dongdong.(2025).Asymptotic-analysis-inspired boundary conditions aiming at eliminating polymer diffusive instability.JOURNAL OF FLUID MECHANICS,1020,34. |
| MLA | Dong, Ming,et al."Asymptotic-analysis-inspired boundary conditions aiming at eliminating polymer diffusive instability".JOURNAL OF FLUID MECHANICS 1020(2025):34. |
入库方式： OAI收割
来源：力学研究所
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