| A spectral element-based phase field method for incompressible two-phase flows | |
Xiao Y1; Zeng Z1; Zhang LQ1; Wang JZ(王静竹)2; Wang YW(王一伟)2 ; Liu H3; Huang CG(黄晨光)2
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| Corresponding Author | Zeng, Zhong([email protected]) ; Zhang, Liangqi([email protected]) |
| Source Publication | PHYSICS OF FLUIDS
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| 2022-02-01 | |
| Volume | 34Issue:2Pages:17 |
| ISSN | 1070-6631 |
| Abstract | In this paper, we propose a spectral element-based phase field method by solving the Navier-Stokes/Cahn-Hilliard equations for incompressible two-phase flows. The high-order differential nonlinear term of the Cahn-Hilliard equation poses a great challenge for obtaining numerical solutions, so the Newton-Raphson method is adopted to tackle this conundrum. Furthermore, we employ the time-stepping scheme to decouple the Navier-Stokes equations to favor the computations with large density and viscosity contrast, in terms of both stability and convergence efficiency. In addition, the continuum surface tension model is used to account for the tangential component of the interfacial force, and thus our numerical method has the ability to simulate thermocapillary flows. We present four examples to demonstrate the interface capture accuracy of the proposed method. The shape of the rotating Zalesak's disk is accurately preserved by the present method even for two periods, which implies less dissipation and higher accuracy at long time numerical simulation. It is also noted that the present method with fourth-order element can achieve similar accuracy with the consistent scheme by evaluating the convective fluxes with the fifth-order weighted essentially non-oscillatory scheme. Moreover, the proposed method appears to comply well with mass conservation. And the results of thermocapillary flow test show good agreement with theoretical prediction. Finally, the rising bubble and Rayleigh-Taylor instability are considered to verify the proposed method for complex changes in interfacial topology, as well as its performance under large density and viscosity contrasts and high Reynolds number conditions. |
| DOI | 10.1063/5.0077372 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000760760400004 |
| WOS Keyword | DIFFUSE-INTERFACE METHOD ; NONUNIFORM SYSTEM ; MULTIPHASE FLOWS ; FREE-ENERGY ; BENCHMARK COMPUTATIONS ; MODEL ; SCHEME ; CAHN ; SIMULATIONS |
| WOS Research Area | Mechanics ; Physics |
| WOS Subject | Mechanics ; Physics, Fluids & Plasmas |
| Funding Project | National Natural Science Foundation of China[12172070] ; National Natural Science Foundation of China[12102071] ; Fundamental Research Funds for the Central Universities[2021CDJQY-055] ; Science and Technology Research Program of Chongqing Municipal Education Commission[KJQN202100706] |
| Funding Organization | National Natural Science Foundation of China ; Fundamental Research Funds for the Central Universities ; Science and Technology Research Program of Chongqing Municipal Education Commission |
| Classification | 一类/力学重要期刊 |
| Ranking | 3+ |
| Contributor | Zeng, Zhong ; Zhang, Liangqi |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/88716 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 1.Chongqing Univ, Coll Aerosp Engn, Chongqing 400044, Peoples R China; 2.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China; 3.Chongqing Jiaotong Univ, Chongqing Southwest Res Inst Water Transport Engn, Chongqing 400016, Peoples R China |
| Recommended Citation GB/T 7714 | Xiao Y,Zeng Z,Zhang LQ,et al. A spectral element-based phase field method for incompressible two-phase flows[J]. PHYSICS OF FLUIDS,2022,34,2,:17.Rp_Au:Zeng, Zhong, Zhang, Liangqi |
| APA | Xiao Y.,Zeng Z.,Zhang LQ.,王静竹.,王一伟.,...&黄晨光.(2022).A spectral element-based phase field method for incompressible two-phase flows.PHYSICS OF FLUIDS,34(2),17. |
| MLA | Xiao Y,et al."A spectral element-based phase field method for incompressible two-phase flows".PHYSICS OF FLUIDS 34.2(2022):17. |
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| Jp2022FA541_2022_A s（4918KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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