A NONLINEARLY PRECONDITIONED INEXACT NEWTON ALGORITHM FOR STEADY STATE LATTICE BOLTZMANN EQUATIONS | |
Huang, JZ ; Yang, C ; Cai, XC | |
刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
2016 | |
卷号 | 38期号:3页码:A1701-A1724 |
关键词 | steady state lattice Boltzmann equations inexact Newton algorithm nonlinear preconditioning pollution removing coarse space parallel scalability |
ISSN号 | 1064-8275 |
中文摘要 | Most existing methods for calculating the steady state solution of the lattice Boltzmann equations are based on pseudo time stepping, which often requires a large number of time steps especially for high Reynolds number problems. To calculate the steady state solution directly without the time integration, in this paper we propose and study a nonlinearly preconditioned inexact Newton algorithm with a domain decomposition based linear solver for parallelization. More precisely, the proposed algorithmic framework involves an implicit, second-order discretization, a two-level inexact Newton method, and a nonlinear elimination preconditioner to accelerate the convergence of Newton iteration. A nonstandard, pollution removing, coarse space is introduced for the two-level method. Numerical experiments are presented to demonstrate the robustness and efficiency of the algorithm, especially for problems at a high Reynolds number. A comparison is also included to show the superiority of the proposed approach over other explicit and implicit methods in terms of the total compute time measured on a parallel computer. |
英文摘要 | Most existing methods for calculating the steady state solution of the lattice Boltzmann equations are based on pseudo time stepping, which often requires a large number of time steps especially for high Reynolds number problems. To calculate the steady state solution directly without the time integration, in this paper we propose and study a nonlinearly preconditioned inexact Newton algorithm with a domain decomposition based linear solver for parallelization. More precisely, the proposed algorithmic framework involves an implicit, second-order discretization, a two-level inexact Newton method, and a nonlinear elimination preconditioner to accelerate the convergence of Newton iteration. A nonstandard, pollution removing, coarse space is introduced for the two-level method. Numerical experiments are presented to demonstrate the robustness and efficiency of the algorithm, especially for problems at a high Reynolds number. A comparison is also included to show the superiority of the proposed approach over other explicit and implicit methods in terms of the total compute time measured on a parallel computer. |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000385282800019 |
公开日期 | 2016-12-13 |
内容类型 | 期刊论文 |
源URL | [http://ir.iscas.ac.cn/handle/311060/17421] |
专题 | 软件研究所_软件所图书馆_期刊论文 |
推荐引用方式 GB/T 7714 | Huang, JZ,Yang, C,Cai, XC. A NONLINEARLY PRECONDITIONED INEXACT NEWTON ALGORITHM FOR STEADY STATE LATTICE BOLTZMANN EQUATIONS[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2016,38(3):A1701-A1724. |
APA | Huang, JZ,Yang, C,&Cai, XC.(2016).A NONLINEARLY PRECONDITIONED INEXACT NEWTON ALGORITHM FOR STEADY STATE LATTICE BOLTZMANN EQUATIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING,38(3),A1701-A1724. |
MLA | Huang, JZ,et al."A NONLINEARLY PRECONDITIONED INEXACT NEWTON ALGORITHM FOR STEADY STATE LATTICE BOLTZMANN EQUATIONS".SIAM JOURNAL ON SCIENTIFIC COMPUTING 38.3(2016):A1701-A1724. |
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