An invitation to resolvent analysis

LV Rolandi, JHM Ribeiro, CA Yeh, K Taira - … and Computational Fluid …, 2024 - Springer
Resolvent analysis is a powerful tool that can reveal the linear amplification mechanisms
between the forcing inputs and the response outputs about a base flow. These mechanisms …

Triglobal resolvent analysis of swept-wing wakes

JHM Ribeiro, CA Yeh, K Taira - Journal of Fluid Mechanics, 2023 - cambridge.org
Through triglobal resolvent analysis, we reveal the effects of wing tip and sweep angle on
laminar separated wakes over swept wings. For the present study, we consider wings with …

Efficient global resolvent analysis via the one-way Navier–Stokes equations

A Towne, G Rigas, O Kamal, E Pickering… - Journal of Fluid …, 2022 - cambridge.org
Resolvent analysis is a powerful tool for modelling and analysing transitional and turbulent
flows and, in particular, for approximating coherent flow structures. Despite recent …

Recursive one-way Navier-Stokes equations with PSE-like cost

M Zhu, A Towne - Journal of Computational Physics, 2023 - Elsevier
Spatial marching methods, in which the flow state is spatially evolved in the downstream
direction, can be used to produce low-cost models of flows containing a slowly varying …

Resolvent-based tools for optimal estimation and control via the Wiener–Hopf formalism

E Martini, J Jung, AVG Cavalieri, P Jordan… - Journal of Fluid …, 2022 - cambridge.org
The application of control tools to complex flows frequently requires approximations, such as
reduced-order models and/or simplified forcing assumptions, where these may be …

Resolvent-based estimation of laminar flow around an airfoil

J Jung, R Bhagwat, A Towne - AIAA SCITECH 2023 Forum, 2023 - arc.aiaa.org
View Video Presentation: https://doi. org/10.2514/6.2023-0077. vid We use a resolvent-
based approach, recently developed by Martini et al.(J. Fluid Mech., vol. 937, 2022, A19), to …

Perturbation amplification near the stagnation point of blunt bodies

E Martini, C Caillaud, G Lehnasch, P Jordan… - … and Computational Fluid …, 2024 - Springer
Different transition to turbulence routes for the flow around blunt bodies are possible. Non-
modal amplification of perturbations via the lift-up effect has recently been explored to …

Efficient global resolvent analysis via the one-way Navier-Stokes equations. Part 2. Optimal response

G Rigas, O Kamal, A Towne, T Colonius - arXiv preprint arXiv:2111.09273, 2021 - arxiv.org
In this study, we develop an efficient approach for approximating resolvent modes via spatial
marching. Building on the methodology from Part 1, we leverage the ability of the projection …

RSVD-? t: A Unified Algorithm for Streamlined Analysis of Large-scale Flows via Resolvent and Harmonic Resolvent Analyses

A Farghadan - 2024 - deepblue.lib.umich.edu
This thesis introduces a novel approach to resolvent analysis, a powerful framework for
understanding coherent structures in turbulent flows. Resolvent analysis characterizes input …