We focus on steady and unsteady Navier–Stokes flow systems in a reduced-order modeling framework based on Proper Orthogonal Decomposition within a levelset geometry description and discretized by an unfitted mesh Finite Element Method. This work extends the approaches of [1–3] to nonlinear CutFEM discretization. We construct and investigate a unified and geometry independent reduced basis which overcomes many barriers and complications of the past, that may occur whenever geometrical morphings are taking place. By employing a geometry independent reduced basis, we are able to avoid remeshing and transformation to reference configurations, and we are able to handle complex geometries. This combination of a fixed background mesh in a fixed extended background geometry with reduced order techniques appears beneficial and advantageous in many industrial and engineering applications, which could not be resolved efficiently in the past.
A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems / Karatzas, E. N.; Nonino, M.; Ballarin, F.; Rozza, G.. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - (2021), pp. 1-27. [10.1016/j.camwa.2021.07.016]
|Titolo:||A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems|
|Autori:||Karatzas, E. N.; Nonino, M.; Ballarin, F.; Rozza, G.|
|Data di pubblicazione:||2021|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1016/j.camwa.2021.07.016|
|Appare nelle tipologie:||1.1 Journal article|