.png){kind=icon}
Return
COLLOCATION METHODS FOR EXPLORING PERTURBATIONS IN LINEAR STABILITY ANALYSIS
.png){kind=icon}
OA
AI
DOI：10.1137/17M1117689.png)
.png){kind=icon}
.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
Eigenvalue analysis is a well-established tool for stability analysis of dynamical systems. However, there are situations where eigenvalues miss some important features of physical models. For example, in models of incompressible fluid dynamics, there are examples where linear stability analysis predicts stability but transient simulations exhibit significant growth of infinitesimal perturbations. This behavior can be predicted by pseudospectral analysis. In this study, we show that an approach similar to pseudospectral analysis can be performed inexpensively using stochastic collocation methods and the results can be used to provide quantitative information about instability. In addition, we demonstrate that the results of the perturbation analysis provide insight into the behavior of unsteady flow simulations.
Keywords:
stability analysis
collocation
pseudospectra
flow simulation
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
2.6
Papers:
5.1K
Citations:
1.8W
Organization
Cited Papers
ShareSave
ShareSaveShareSaveIFISS: A Computational Laboratory for Investigating Incompressible Flow Problems.png)
SIAM REVIEWOAAI
SIAM REVIEWIF6.1
OAAIShareSaveShareSaveShareSave
View more