Ian Moore, Virginia Tech
Authors: Ian Moore, Anna Sanfilippo, Traian Iliescu, Francesco Ballarin
2023 AWM Research Symposium
Recent Developments in Control, Optimization, and the Analysis of Partial Differential Equations [Organized by Lorena Bociu and Pelin Guven Geredeli]

In the field of reduced order modeling, filtering methods have received significant recent attention for treating poorly performing models as a method of regularization. However, filtering by itself can be susceptible to over-smoothing of generated solutions. We propose new reduced order models that integrate the methods of approximate deconvolution into Leray filtering models with a goal of balancing accuracy and smoothing properties. The models are tested with particular application to fluid flows simulated by the Navier-Stokes equations.

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