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A stochastic Galerkin lattice Boltzmann method for incompressible fluid flows with uncertainties

文献类型：期刊论文

作者Zhong, Mingliang1,7; Xiao, Tianbai4,5,6; Krause, Mathias J.1,2,3; Frank, Martin3,7; Simonis, Stephan1,3
刊名JOURNAL OF COMPUTATIONAL PHYSICS
出版日期2024-11-15
卷号517页码:22
关键词Stochastic Galerkin method Generalized polynomial chaos Uncertainty quantification Lattice Boltzmann method Incompressible fluid flow Computational fluid dynamics OpenLB
ISSN号0021-9991
DOI10.1016/j.jcp.2024.113344
通讯作者Zhong, Mingliang(mingliang.zhong@kit.edu)
英文摘要Efficient modeling and simulation of uncertainties in computational fluid dynamics (CFD) remains a crucial challenge. In this paper, we present the first stochastic Galerkin (SG) lattice Boltzmann method (LBM) built upon the generalized polynomial chaos (gPC). The proposed method offers an efficient and accurate approach that depicts the propagation of uncertainties in stochastic incompressible flows. Formal analysis shows that the SG LBM preserves the correct Chapman- Enskog asymptotics and recovers the corresponding macroscopic fluid equations. Numerical experiments, including the Taylor-Green vortex flow, lid-driven cavity flow, and isentropic vortex convection, are presented to validate the solution algorithm. The results demonstrate that the SG LBM achieves the expected spectral convergence and the computational cost is significantly reduced compared to the sampling-based non-intrusive approaches, e.g., the routinely used Monte Carlo method. We obtain a speedup factor of 5.72 compared to Monte Carlo sampling in a randomized two-dimensional Taylor-Green vortex flow test case. By leveraging the accuracy and flexibility of LBM and the efficiency of gPC-based SG, the proposed SG LBM provides a powerful framework for uncertainty quantification in CFD practice.
WOS关键词NUMERICAL APPROXIMATION ; DIFFERENTIAL-EQUATIONS ; STATISTICAL SOLUTIONS ; MODELING UNCERTAINTY ; QUANTIFICATION
资助项目Ministry of Science, Research ; Arts Baden-Wurttemberg ; Federal Ministry of Education and Research ; Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)[436212129] ; National Science Foundation of China[12302381]
WOS研究方向Computer Science ; Physics
语种英语
WOS记录号WOS:001299528500001
资助机构Ministry of Science, Research ; Arts Baden-Wurttemberg ; Federal Ministry of Education and Research ; Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) ; National Science Foundation of China
源URL[http://dspace.imech.ac.cn/handle/311007/96439]  
专题力学研究所_高温气体动力学国家重点实验室
通讯作者Zhong, Mingliang
作者单位1.Karlsruhe Inst Technol, Lattice Boltzmann Res Grp, D-76131 Karlsruhe, Germany
2.Karlsruhe Inst Technol, Inst Mech Proc Engn & Mech, D-76131 Karlsruhe, Germany
3.Karlsruhe Inst Technol, Inst Appl & Numer Math, D-76131 Karlsruhe, Germany
4.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
5.Chinese Acad Sci, Inst Mech, Ctr Interdisciplinary Res Fluids, Beijing 100190, Peoples R China
6.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China
7.Karlsruhe Inst Technol, Sci Comp Ctr, D-76344 Eggenstein Leopoldshafen, Germany
推荐引用方式
GB/T 7714		 Zhong, Mingliang,Xiao, Tianbai,Krause, Mathias J.,et al. A stochastic Galerkin lattice Boltzmann method for incompressible fluid flows with uncertainties[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2024,517:22.
APA Zhong, Mingliang,Xiao, Tianbai,Krause, Mathias J.,Frank, Martin,&Simonis, Stephan.(2024).A stochastic Galerkin lattice Boltzmann method for incompressible fluid flows with uncertainties.JOURNAL OF COMPUTATIONAL PHYSICS,517,22.
MLA Zhong, Mingliang,et al."A stochastic Galerkin lattice Boltzmann method for incompressible fluid flows with uncertainties".JOURNAL OF COMPUTATIONAL PHYSICS 517(2024):22.

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来源：力学研究所

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