| Residual-based closure model for density-stratified incompressible turbulent flows | |
| Zhu LX(朱力行)1,2,3; Masud, Arif3 | |
| Corresponding Author | Masud, Arif([email protected]) |
| Source Publication | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
 |
| 2021-12-01 | |
| Volume | 386Pages:38 |
| ISSN | 0045-7825 |
| Abstract | This paper presents a locally and dynamically adaptive residual-based closure model for density stratified incompressible flows. The method is based on the three-level form of the Variational Multiscale (VMS) modeling paradigm applied to the system of incompressible Navier-Stokes equations and an energy conservation equation for the relative temperature field. The velocity, pressure, and relative temperature fields are additively decomposed into overlapping scales which leads to a set of coupled mixed-field sub-problems for the coarse- and the fine-scales. In the hierarchical application of the VMS method, the fine-scale velocity and relative temperature fields are further decomposed, leading to a nested system of two-way coupled fine-scale level-I and level-II variational subproblems. A direct application of bubble functions approach to the fine-scale variational equations helps derive fine-scale models that are nonlinear and time dependent. Embedding the derived model from the level-II variational equation in the level-I variational equation helps stabilize the convection-dominated mixed-field thermodynamic subproblem. Locally resolving the unconstrained level-I variational equation yields the residual-based turbulence model which is a function of the residual of the Euler-Lagrange equations of the conservation of momentum, mass, and energy. The derived model accommodates forward- and back-scatter of energy and entropy and embeds sub-grid scale physics in the computable scales of the problem. The steps of the derivation show that it is essential to apply the concept of scale separation systematically to the coupled system of equations and it is critical to preserve the coupling between flow and thermal phases in the fine-scale variational equations. The method has been implemented with hexahedral and tetrahedral elements with equal order interpolations for the velocity, pressure, and temperature fields. Several canonical flow cases are presented that include Rayleigh-Benard instability, Rayleigh-Taylor instability, and turbulent plane Couette flow with stable stratification. (C) 2021 Elsevier B.V. All rights reserved. |
| Keyword | Variational multiscale method Hierarchical methods Density stratification Incompressible turbulent flows Boussinesq approximation |
| DOI | 10.1016/j.cma.2021.113931 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000702538200008 |
| WOS Keyword | LARGE-EDDY SIMULATION ; VARIATIONAL MULTISCALE METHOD ; FINITE-ELEMENT-METHOD ; NATURAL-CONVECTION ; BOUNDARY-CONDITIONS ; SCALE ; FORMULATION ; FRAMEWORK ; CAVITY |
| WOS Research Area | Engineering ; Mathematics ; Mechanics |
| WOS Subject | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics |
| Classification | 一类 |
| Ranking | 1 |
| Contributor | Masud, Arif |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/87490 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.Chinese Acad Sci, Inst Mech, Lab Nonlinear Mech, Beijing 100190, Peoples R China; 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 3.Univ Illinois, Dept Civil & Environm Engn, Urbana, IL 61801 USA |
| Recommended Citation GB/T 7714 | Zhu LX,Masud, Arif. Residual-based closure model for density-stratified incompressible turbulent flows[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2021,386:38.Rp_Au:Masud, Arif |
| APA | 朱力行,&Masud, Arif.(2021).Residual-based closure model for density-stratified incompressible turbulent flows.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,386,38. |
| MLA | 朱力行,et al."Residual-based closure model for density-stratified incompressible turbulent flows".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 386(2021):38. |
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| Jp2021F387.pdf（4213KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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