A reduced-order shifted boundary method for parametrized incompressible Navier–Stokes equations


Journal Article

© 2020 Elsevier B.V. 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.

Full Text

Duke Authors

Cited Authors

  • Karatzas, EN; Stabile, G; Nouveau, L; Scovazzi, G; Rozza, G

Published Date

  • October 1, 2020

Published In

Volume / Issue

  • 370 /

International Standard Serial Number (ISSN)

  • 0045-7825

Digital Object Identifier (DOI)

  • 10.1016/j.cma.2020.113273

Citation Source

  • Scopus