What question did this study set out to answer?

To investigate how different basis functions affect the convergence and performance of reduced-order models (ROMs) for Couette flow.

March 5, 2026Journal of Fluid Mechanics0 citations

State-Dependent Convergence of Galerkin-Based Reduced-Order Models for Couette Flow

State-dependent convergence of Galerkin-based reduced-order models for Couette flow

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Exploration of reduced-order models reveals state-dependent performance in fluid dynamics, highlighting its importance.

To investigate how different basis functions affect the convergence and performance of reduced-order models (ROMs) for Couette flow.
Utilized Galerkin projection for reduced-order modeling based on various basis functions.
Analyzed modes obtained from direct numerical simulations, including POD and balanced truncation modes.
Considered different base flows, including laminar and turbulent flows, alongside an eddy viscosity model.
ROMs based on the balanced truncation modes effectively capture linear dynamics around laminar base flow.
POD modes excel in reproducing statistics and dynamics in turbulent states.
Performance of ROMs is significantly correlated with the state and the underlying dynamics of selected basis functions.

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Zong et al. (2026) studied this question.

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March 5, 2026Journal of Fluid Mechanics0 citations

State-dependent convergence of Galerkin-based reduced-order models for Couette flow

Authors

Exploration of reduced-order models reveals state-dependent performance in fluid dynamics, highlighting its importance.

To investigate how different basis functions affect the convergence and performance of reduced-order models (ROMs) for Couette flow.
Utilized Galerkin projection for reduced-order modeling based on various basis functions.
Analyzed modes obtained from direct numerical simulations, including POD and balanced truncation modes.
Considered different base flows, including laminar and turbulent flows, alongside an eddy viscosity model.
ROMs based on the balanced truncation modes effectively capture linear dynamics around laminar base flow.
POD modes excel in reproducing statistics and dynamics in turbulent states.
Performance of ROMs is significantly correlated with the state and the underlying dynamics of selected basis functions.

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View Full Paper

Zong et al. (2026) studied this question.

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View Full Paper