Publications [#383748] of Guglielmo Scovazzi

Papers Published

1. Karatzas, EN; Stabile, G; Nouveau, L; Scovazzi, G; Rozza, G, A reduced-order shifted boundary method for parametrized incompressible Navier–Stokes equations, Computer Methods in Applied Mechanics and Engineering, vol. 370 (October, 2020) [doi]
   (last updated on 2026/01/19)

   Abstract:
   We investigate a projection-based reduced order model of the steady incompressible Navier–Stokes equations for moderate Reynolds numbers. In particular, we construct an “embedded” reduced basis space, by applying proper orthogonal decomposition to the Shifted Boundary Method, a high-fidelity embedded method recently developed. We focus on the geometrical parametrization through level-set geometries, using a fixed Cartesian background geometry and the associated mesh. This approach avoids both remeshing and the development of a reference domain formulation, as typically done in fitted mesh finite element formulations. Two-dimensional computational examples for one and three parameter dimensions are presented to validate the convergence and the efficacy of the proposed approach.