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

Article Mechanics

Solutions to aliasing in time-resolved flow data

Ugur Karban et al.

Summary: This paper presents a set of alternative strategies for mitigating aliasing in flow data for large datasets, including using time-derivative data and spatial filtering methods, as well as proposing strategies for preventing aliasing.

THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS (2022)

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Review Mechanics

From Bypass Transition to Flow Control and Data-Driven Turbulence Modeling: An Input-Output Viewpoint

Mihailo R. Jovanovic

Summary: Transient growth and resolvent analyses are used to assess nonasymptotic properties of fluid flows, with resolvent analysis enhancing insights by detailed examination of input-output responses. The differentiating feature plays a key role in quantifying the importance of mechanisms for bypass transition in wall-bounded shear flows and in explaining how turbulent jets generate noise. The utility of a stochastic framework in addressing various challenges including transition in complex fluids, flow control, and turbulence modeling is highlighted.

ANNUAL REVIEW OF FLUID MECHANICS, VOL 53 (2021)

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Article Mechanics

Nonlinear input/output analysis: application to boundary layer transition

Georgios Rigas et al.

Summary: This study extends linear resolvent analysis to account for nonlinear triadic interactions in the frequency domain using the harmonic balance method. By including nonlinearity, the framework identifies worst-case disturbances for laminar-turbulent transition. The calculations reach early stages of the turbulent regime through generation and breakdown of perturbation vortices.

JOURNAL OF FLUID MECHANICS (2021)

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Article Acoustics

Resolvent-based modeling of turbulent jet noise

Ethan Pickering et al.

Summary: Resolvent analysis has been shown to be effective in modeling coherent structures in jets and reconstructing the most energetic regions of the acoustic field. By projecting LES realizations onto a limited set of resolvent modes, encouraging results were obtained.

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA (2021)

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Article Mechanics

Optimal eddy viscosity for resolvent-based models of coherent structures in turbulent jets

Ethan Pickering et al.

Summary: Linear resolvent analysis of turbulent mean-flow fields can qualitatively capture characteristics of coherent structures in turbulent flows. By using a data-driven approach to optimize the eddy viscosity, the agreement between resolvent and SPOD modes can be substantially improved, reaching over 90% agreement at certain frequencies. A fixed model for eddy viscosity with a single constant can also provide substantial agreement between different modes in turbulent jets.

JOURNAL OF FLUID MECHANICS (2021)

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Article Mechanics

Efficient computation of global resolvent modes

Eduardo Martini et al.

Summary: Resolvent analysis of the linearized Navier-Stokes equations can provide insight into transitional and turbulent flows by identifying dominant coherent structures within the flow. This paper proposes two new matrix-free methods for computing resolvent modes, achieving significant speedup compared to previous methods by integrating linearized equations and adjoint systems in the time domain. The methods, one based on transient response analysis and another on steady-state response to periodic forcing, offer fine frequency discretization for leading modes and optimal/suboptimal modes for a discrete set of frequencies.

JOURNAL OF FLUID MECHANICS (2021)

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Article Acoustics

An azimuthal Fourier domain formulation of the Ffowcs Williams and Hawkings equation

Zhibo Chen et al.

Summary: The study presents a new formulation entirely in the azimuthal Fourier domain, obtained by manipulating the FW-H equation, to efficiently and naturally compute the acoustic field associated with resolvent modes of a Mach 1.5 jet.

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA (2021)

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Article Mechanics

Lift-up, Kelvin-Helmholtz and Orr mechanisms in turbulent jets

Ethan Pickering et al.

JOURNAL OF FLUID MECHANICS (2020)

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Article Physics, Fluids & Plasmas

Randomized resolvent analysis

Jean Helder Marques Ribeiro et al.

PHYSICAL REVIEW FLUIDS (2020)

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Article Mechanics

Ambiguity in mean-flow-based linear analysis

U. Karban et al.

JOURNAL OF FLUID MECHANICS (2020)

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Article Mechanics

Large-scale streaky structures in turbulent jets

Petronio A. S. Nogueira et al.

JOURNAL OF FLUID MECHANICS (2019)

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Article Mechanics

A critical assessment of the parabolized stability equations

Aaron Towne et al.

THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS (2019)

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Article Physics, Fluids & Plasmas

Resolvent-based modeling of coherent wave packets in a turbulent jet

Lutz Lesshafft et al.

PHYSICAL REVIEW FLUIDS (2019)

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Article Computer Science, Interdisciplinary Applications

3D global optimal forcing and response of the supersonic boundary layer

B. Bugeat et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2019)

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Article Mechanics

Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis

Aaron Towne et al.

JOURNAL OF FLUID MECHANICS (2018)

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Article Mechanics

Spectral analysis of jet turbulence

Oliver T. Schmidt et al.

JOURNAL OF FLUID MECHANICS (2018)

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Article Mechanics

Sensitivity of wavepackets in jets to nonlinear effects: the role of the critical layer

Gilles Tissot et al.

JOURNAL OF FLUID MECHANICS (2017)

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Review Engineering, Aerospace

Modal Analysis of Fluid Flows: An Overview

Kunihiko Taira et al.

AIAA JOURNAL (2017)

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Article Mechanics

Acoustic resonance in the potential core of subsonic jets

Aaron Towne et al.

JOURNAL OF FLUID MECHANICS (2017)

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Article Engineering, Aerospace

Unstructured Large-Eddy Simulations of Supersonic Jets

Guillaume A. Bres et al.

AIAA JOURNAL (2017)

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Article Mechanics

Conditions for validity of mean flow stability analysis

Samir Beneddine et al.

JOURNAL OF FLUID MECHANICS (2016)

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Article Mechanics

Input-output analysis of high-speed axisymmetric isothermal jet noise

Jinah Jeun et al.

PHYSICS OF FLUIDS (2016)

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Article Computer Science, Interdisciplinary Applications

One-way spatial integration of hyperbolic equations

Aaron Towne et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2015)

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Article Mechanics

Wavepacket models for supersonic jet noise

Aniruddha Sinha et al.

JOURNAL OF FLUID MECHANICS (2014)

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Article Mechanics

A low-order decomposition of turbulent channel flow via resolvent analysis and convex optimization

R. Moarref et al.

PHYSICS OF FLUIDS (2014)

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Review Mechanics

Wave Packets and Turbulent Jet Noise

Peter Jordan et al.

ANNUAL REVIEW OF FLUID MECHANICS, VOL 45 (2013)

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Article Mechanics

The preferred mode of incompressible jets: linear frequency response analysis

X. Garnaud et al.

JOURNAL OF FLUID MECHANICS (2013)

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Article Computer Science, Interdisciplinary Applications

Efficient evaluation of the direct and adjoint linearized dynamics from compressible flow solvers

Miguel Fosas de Pando et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2012)

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Article Mechanics

Spatial optimal growth in three-dimensional compressible boundary layers

David Tempelmann et al.

JOURNAL OF FLUID MECHANICS (2012)

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Article Mechanics

Axisymmetric superdirectivity in subsonic jets

Andre V. G. Cavalieri et al.

JOURNAL OF FLUID MECHANICS (2012)

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Review Mechanics

Global Linear Instability

Vassilios Theofilis

ANNUAL REVIEW OF FLUID MECHANICS, VOL 43 (2011)

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Article Mathematics, Applied

Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions

N. Halko et al.

SIAM REVIEW (2011)

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Review Mechanics

Dynamics and Control of Global Instabilities in Open-Flows: A Linearized Approach

Denis Sipp et al.

APPLIED MECHANICS REVIEWS (2010)

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Article Mechanics

Spatial optimal growth in three-dimensional boundary layers

David Tempelmann et al.

JOURNAL OF FLUID MECHANICS (2010)

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A critical-layer framework for turbulent pipe flow

B. J. McKeon et al.

JOURNAL OF FLUID MECHANICS (2010)

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Global three-dimensional optimal disturbances in the Blasius boundary-layer flow using time-steppers

Antonios Monokrousos et al.

JOURNAL OF FLUID MECHANICS (2010)

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Article Computer Science, Interdisciplinary Applications

A high-order super-grid-scale absorbing layer and its application to linear hyperbolic systems

Daniel Appeloe et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2009)

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Article Mechanics

Componentwise energy amplification in channel flows

MR Jovanovic et al.

JOURNAL OF FLUID MECHANICS (2005)

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Article Acoustics

A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems

T Hagstrom et al.

WAVE MOTION (2004)

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Article Computer Science, Interdisciplinary Applications

Summation by parts operators for finite difference approximations of second derivatives

K Mattsson et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2004)

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Article Mechanics

An evaluation of linear instability waves as sources of sound in a supersonic turbulent jet

K Mohseni et al.

PHYSICS OF FLUIDS (2002)

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Review Mathematics, Applied

The quadratic eigenvalue problem

F Tisseur et al.

SIAM REVIEW (2001)

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

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