English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Model reduction by projection-based approaches is often associated withlosing some of the important features that contribute towards the dynamics ofthe retained scales. As a result, a mismatch occurs between the predictedtrajectories of the original system and the truncated one. We put forth aframework to apply a continuous time control signal in the latent space of thereduced order model (ROM) to account for the effect of truncation. We set thecontrol input using parameterized models by following energy transferprinciples. Our methodology relies on observing the system behavior in thephysical space and using the projection operator to restrict the feedbacksignal into the latent space. Then, we leverage the forward sensitivity method(FSM) to derive relationships between the feedback and the desiredmode-dependent control. We test the performance of the proposed approach usingtwo test cases, corresponding to viscous Burgers and vortex merger problems athigh Reynolds number. Results show that the ROM trajectory with the applied FSMcontrol closely matches its target values in both the data-dense anddata-sparse regimes.

Forward Sensitivity Analysis and Mode Dependent Control for Closure Modeling of Galerkin Systems