Publications

Transient growth and nonlinear breakdown of wavelet-based resolvent modes in turbulent channel flow

We compute a pulse-like linearly-optimal forcing mode for the minimal flow unit, and inject it into a DNS of unit. We track the linear growth and nonlinear breakdown of the injected mode to test the effectiveness of the forcing mode at actuating the channel.

References
Ballouz, E., Dawson, S. T. M., and Bae, H. J. (2025) “Transient growth and nonlinear breakdown of wavelet-based resolvent modes in turbulent channel flow”, JFM (submitted). Link

Ballouz, E., Dawson, S. T. M., & Bae, H. J. (2024) “Transient growth of wavelet-based resolvent modes in the buffer layer of wall-bounded turbulence”. J. Phys.: Conference Series, 2753(1), 012002. Link

Wavelet-based resolvent analysis of non-stationary flows

We formulate a wavelet-based resolvent analysis and apply it to the analysis of non-stationary flows (Stokes boundary layer, transient 3D channel flow), as well as transient phenomena within stationary flows (bursting in channel flow).

References
Ballouz, E., Lopez-Doriga, B., Dawson, S. T. M., and Bae, H. J. (2025) “Wavelet-based resolvent analysis of non-stationary flows”, JFM. Link

Ballouz, E., Lopez-Dóriga, B., Dawson, S. T. M., and Bae, H. J. (2023) “Wavelet-based resolvent analysis for statistically-stationary and temporally-evolving flows”. AIAA SCITECH 2023 Forum, 0676. Link

Sparse space-time resolvent analysis

We formulate a space-time resolvent analysis capable of being applied to non-stationary systems or transient phenomena. Temporal sparsity is imposed, allowing the method to extract dynamically significant structures that are localized in time.

References
López-Doriga, B., Ballouz, E., Bae, H. J., & Dawson, S. T. M. (2024) “Sparse space–time resolvent analysis for statistically stationary and time-varying flows”. J. Fluid Mech., 999, A87. Link

López-Doriga, B., Ballouz, E., Bae, H. J., & Dawson, S. T. M. (2023) “A sparsity-promoting resolvent analysis for the identification of spatiotemporally-localized amplification mechanisms”. AIAA SCITECH 2023 Forum, 0677. Link

Conferences

IACM CFC, 2025 (Santiago, Chile)
“Resolvent analysis for the study of intermittent bursting in channel flow

APS-DFD, 2024 (Salt Lake City, UT)
”Non-equilibrium channel flow under lateral pressure gradient” (Interactive Poster) Link

SoCal Fluids, 2024 (UC Irvine, Irvine, CA)
”Transient growth of wavelet-based resolvent modes in the buffer layer of wall-bounded turbulence”

Madrid Summer Program - Causality in Turbulence, 2023 (UPM, Madrid, Spain)
”Transient Growth of Time-Local Resolvent Modes in Turbulent Channel Flow”

SoCal Fluids, 2023 (SDSU, San Diego, CA)
”Wavelet-based resolvent analysis for non-stationary turbulent flows”

APS-DFD, 2023 (Washington DC)
”Transient growth of wavelet-based resolvent modes in the buffer layer of wall-bounded turbulence”

Scitech, 2023 (Harbor City, MA)
”Wavelet-based resolvent analysis for statistically-stationary and temporally-evolving flows”

APS-DFD, 2022 (Indianapolis, IN)
”Wavelet-based resolvent analysis of temporally-varying turbulent flows”

CAUST Workshop on Causality in Turbulence and Transition, 2022 (UPM, Madrid, Spain)
”Time-localized resolvent analysis for the study of causality in turbulent flows”

SoCal Fluids, 2022 (UCLA, Los Angeles, CA)
”Time-localized resolvent analysis for the study of causal relations in turbulent flows”

Contact: eballouz@stanford.edu