.png){kind=icon}
返回
A dynamic-solver-consistent minimum action method: With an application to 2D Navier-Stokes equations
.png){kind=icon}
OA
AI
DOI：10.1016/j.jcp.2016.11.019.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
This paper discusses the necessity and strategy to unify the development of a dynamic solver and a minimum action method (MAM) for a spatially extended system when employing the large deviation principle (LDP) to study the effects of small random perturbations. A dynamic solver is used to approximate the unperturbed system, and a minimum action method is used to approximate the LDP, which corresponds to solving an Euler-Lagrange equation related to but more complicated than the unperturbed system. We will clarify possible inconsistencies induced by independent numerical approximations of the unperturbed system and the LDP, based on which we propose to define both the dynamic solver and the MAM on the same approximation space for spatial discretization. The semi-discrete LDP can then be regarded as the exact LDP of the semi-discrete unperturbed system, which is a finite-dimensional ODE system. We achieve this methodology for the two-dimensional Navier-Stokes equations using a divergence free approximation space. The method developed can be used to study the nonlinear instability of wall-bounded parallel shear flows, and be generalized straightforwardly to three-dimensional cases. Numerical experiments are presented. (C) 2016 Elsevier Inc. All rights reserved.
Keyword:
Minimum action method
Rare events
White noise
Colored noise
Finite element method
Numerical adaptivity
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.8
论文数:
1.6W
被引数:
7.4W
机构
引用论文
Geospatial Assessment of Grazing Regime Shifts and Sociopolitical Changes in a Mongolian RangelandOAAI
.png){kind=icon}
OAAI分享收藏Combining Bulk Gels and Colloidal Dispersion Gels for Improved Volumetric Sweep Efficiency in a Mature Waterflood结合块状凝胶和胶体分散凝胶以提高成熟水驱的体积波及效率
PREAI
分享收藏An improved etching process used for the fabrication of submicron Nb/AlO/sub x//Nb Josephson junctions一种用于制备亚微米Nb/AlOx/Nb约瑟夫结的改进刻蚀工艺
PREAI
分享收藏
查看更多内容