Continuous-time balanced truncation for time-periodic fluid flows using frequential Gramians

DOI10.1016/j.jcp.2023.112597arXiv2208.13245OpenAlexW4387967589MaRDI QIDQ6198175

Alberto Padovan, Clarence W. Rowley

Publication date: 21 February 2024

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.13245

zbMATH Keywords

harmonic transfer functionlinear time-periodic systemscontinuous-time balanced truncationfrequential Gramiansharmonic resolvent

Mathematics Subject Classification ID

Basic linear algebra (15Axx) Model systems in control theory (93Cxx) Controllability, observability, and system structure (93Bxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• Model reduction of periodic systems: a lifting approach
• \(\mathcal H_2\) norm of linear time-periodic systems: a perturbation analysis
• A projector-splitting integrator for dynamical low-rank approximation
• Smoothness and Periodicity of Some Matrix Decompositions
• Balanced truncation model reduction for linear time-varying systems
• Model-based design of transverse wall oscillations for turbulent drag reduction
• Controlling the onset of turbulence by streamwise travelling waves. Part 1. Receptivity analysis
• Periodic solutions of periodic Riccati equations
• Feedback control of unstable steady states of flow past a flat plate using reduced-order estimators
• The Periodic Lyapunov Equation
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Vortex pairing in jets as a global Floquet instability: modal and transient dynamics
• Snapshot-Based Balanced Truncation for Linear Time-Periodic Systems
• Analysis of amplification mechanisms and cross-frequency interactions in nonlinear flows via the harmonic resolvent
• Model-based design of riblets for turbulent drag reduction
• Balanced Truncation of Linear Time-Varying Systems
• MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION
• Dynamical Low‐Rank Approximation
• From Bypass Transition to Flow Control and Data-Driven Turbulence Modeling: An Input–Output Viewpoint