364 citations · 1.5k across the 59 of their papers we have counts for
64 papers
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…
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…
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…
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 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.…
A Priori Error Bounds for POD-ROMs for Fluids: A Brief Survey
Francesco Ballarin, Traian Iliescu
Galerkin reduced order models (ROMs), e.g., based on proper orthogonal decomposition (POD) or reduced basis methods, have achieved significant success in the numerical simulation o…