Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Nisha Chandramoorthy"'
Publikováno v:
Theoretical and Applied Mechanics Letters, Vol 10, Iss 6, Pp 438-447 (2020)
ABSTRACT: Sensitivity analysis in chaotic dynamical systems is a challenging task from a computational point of view. In this work, we present a numerical investigation of a novel approach, known as the space-split sensitivity or S3 algorithm. The S3
Externí odkaz:
https://doaj.org/article/ed3a6aaec4df4beea94bf862fe8689ca
Autor:
Nisha Chandramoorthy, Malo Jézéquel
Publikováno v:
Nonlinearity
Nonlinearity, 2022, 35 (8), pp.4357. ⟨10.1088/1361-6544/ac7692⟩
Nonlinearity, 2022, 35 (8), pp.4357. ⟨10.1088/1361-6544/ac7692⟩
Ruelle gave a formula for linear response of transitive Anosov diffeomorphisms. Recently, practically computable realizations of Ruelle's formula have emerged that potentially enable sensitivity analysis of certain high-dimensional chaotic numerical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43795ca84656432ad4f214e963028640
https://doi.org/10.1088/1361-6544/ac7692
https://doi.org/10.1088/1361-6544/ac7692
Autor:
Qiqi Wang, Nisha Chandramoorthy
Publikováno v:
Nonlinear Dynamics. 104:4083-4102
Covariant Lyapunov vectors or CLVs span the expanding and contracting directions of perturbations along trajectories in a chaotic dynamical system. Due to efficient algorithms to compute them that only utilize trajectory information, they have been w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b36264e8341ef82f620c6c422902f322
https://doi.org/10.1007/s11071-021-06478-0
https://doi.org/10.1007/s11071-021-06478-0
Autor:
Nisha Chandramoorthy, Qiqi Wang
This paper presents the space-split sensitivity or the S3 algorithm to transform Ruelle's linear response formula into a well-conditioned ergodic-averaging computation. We prove a decomposition of Ruelle's formula that is differentiable on the unstab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::738323c8fecacfebbed4b37d44500b8a
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 101:105906
An assumption of smooth response to small parameter changes, of statistics or long-time averages of a chaotic system, is generally made in the field of sensitivity analysis, and the parametric derivatives of statistical quantities are critically used
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ea6b3f30f773b427bb0082416392e16
https://doi.org/10.1016/j.cnsns.2021.105906
https://doi.org/10.1016/j.cnsns.2021.105906
Autor:
Nisha Chandramoorthy, Qiqi Wang
Publikováno v:
Journal of Computational Physics. 440:110389
This paper proves that shadowing solutions can be almost surely nonphysical. This finding invalidates the argument that small perturbations in a chaotic system can only have a small impact on its statistical behavior. This theoretical finding has imp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b2c72e1907c07e0da9148669f47f239
https://doi.org/10.1016/j.jcp.2021.110389
https://doi.org/10.1016/j.jcp.2021.110389
Autor:
Nisha Chandramoorthy, Qiqi Wang
Publikováno v:
AIAA Aviation 2019 Forum.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::04890e9985ce37630df58464879b2d45
https://doi.org/10.2514/6.2019-3426.c1
https://doi.org/10.2514/6.2019-3426.c1
Autor:
Qiqi Wang, Nisha Chandramoorthy
Publikováno v:
arXiv
It is well-known that linearized perturbation methods for sensitivity analysis, such as tangent or adjoint equation-based, finite difference and automatic differentiation are not suitable for turbulent flows. The reason is that turbulent flows exhibi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa2b9d075cdf59641c64634c1f060391
Publikováno v:
arXiv
Lubrication problems at lengthscales for which the traditional Navier-Stokes description fails can be solved using a modified Reynolds lubrication equation that is based on the following two observations: first, classical Reynolds equation failure at
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01d5aca70addd2f98ef2584f8926e413
https://doi.org/10.1007/s10404-018-2067-z
https://doi.org/10.1007/s10404-018-2067-z
Publikováno v:
arXiv
In chaotic systems, such as turbulent flows, the solutions to tangent and adjoint equations exhibit an unbounded growth in their norms. This behavior renders the instantaneous tangent and adjoint solutions unusable for sensitivity analysis. The Lea-A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a984df5db07bb9ba007ad30f9f5a7aa1