6 papers
New Feedback Control and Adaptive Evolve-Filter-Relax Regularization for the Navier-Stokes Equations in the Convection-Dominated Regime
Maria Strazzullo, Francesco Ballarin, Traian Iliescu +1
We propose, analyze, and investigate numerically a novel feedback control strategy for high Reynolds number flows. For both the continuous and the discrete (finite element) setting…
Data-driven Optimization for the Evolve-Filter-Relax regularization of convection-dominated flows
Anna Ivagnes, Maria Strazzullo, Michele Girfoglio +2
Numerical stabilization techniques are often employed in under-resolved simulations of convection-dominated flows to improve accuracy and mitigate spurious oscillations. Specifical…
Symbolic Regression of Data-Driven Reduced Order Model Closures for Under-Resolved, Convection-Dominated Flows
Simone Manti, Ping-Hsuan Tsai, Alessandro Lucantonio +1
Data-driven closures correct the standard reduced order models (ROMs) to increase their accuracy in under-resolved, convection-dominated flows. There are two types of data-driven R…
Variational Multiscale Evolve and Filter Strategies for Convection-Dominated Flows
Maria Strazzullo, Francesco Ballarin, Traian Iliescu +1
The evolve-filter (EF) model is a filter-based numerical stabilization for under-resolved convection-dominated flows. EF is a simple, modular, and effective strategy for both full-…
A Priori Error Bounds and Parameter Scalings for the Time Relaxation Reduced Order Model
Jorge Reyes, Ping-Hsuan Tsai, Julia Novo +1
The a priori error analysis of reduced order models (ROMs) for fluids is relatively scarce. In this paper, we take a step in this direction and conduct numerical analysis of the re…
A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model
Ian Moore, Anna Sanfilippo, Francesco Ballarin +1
The approximate deconvolution Leray reduced order model (ADL-ROM) uses spatial filtering to increase the ROM stability, and approximate deconvolution to increase the ROM accuracy.…