Hyperbolicity, shadowing directions and sensitivity analysis of a turbulent three-dimensional flow
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Publication:4625885
DOI10.1017/jfm.2018.986zbMath1415.76298arXiv1711.06626OpenAlexW2901220868MaRDI QIDQ4625885
Publication date: 26 February 2019
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.06626
Direct numerical and large eddy simulation of turbulence (76F65) Dynamical systems approach to turbulence (76F20)
Related Items (13)
Space-Split Algorithm for Sensitivity Analysis of Discrete Chaotic Systems With Multidimensional Unstable Manifolds ⋮ Efficient Computation of Linear Response of Chaotic Attractors with One-Dimensional Unstable Manifolds ⋮ Unveiling the competitive role of global modes in the pattern formation of rotating sphere flows ⋮ Rigorous justification for the space–split sensitivity algorithm to compute linear response in Anosov systems ⋮ Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos ⋮ Backpropagation in hyperbolic chaos via adjoint shadowing ⋮ Error-driven adaptive mesh refinement for unsteady turbulent flows in spectral-element simulations ⋮ Sensitivity analysis on chaotic dynamical systems by finite difference non-intrusive least squares shadowing (FD-NILSS) ⋮ Adjoint sensitivity analysis on chaotic dynamical systems by non-intrusive least squares adjoint shadowing (NILSAS) ⋮ Approximating Linear Response by Nonintrusive Shadowing Algorithms ⋮ Computational assessment of smooth and rough parameter dependence of statistics in chaotic dynamical systems ⋮ Stability, sensitivity and optimisation of chaotic acoustic oscillations ⋮ Sensitivity analysis of chaotic systems using a frequency-domain shadowing approach
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