By Maria Strazzullo (Polito)
Addressing convection-dominated flows is a crucial task, with multiple applications in diverse fields, both in industry and science. However, under under-resolved regimes, numerical oscillations may arise, spoiling the accuracy of the numerical simulations.
To overcome this issue, numerical stabilizations and regularized strategies can be employed. Among them, the evolve-filter (EF) has notable success. EF is modular, simple, and effective both for the full-order models (FOMs) and the reduced-order models (ROMs). The EF technique consists of smoothing the oscillating behavior of the convection-dominated flow using a spatial filter. The filter action is determined by a parameter called the filter radius. However, large values of the filtering radius may yield inaccurate results, with overly diffusive behavior.
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