A posteriori error estimates in a finite element VMS-based reduced order model for the incompressible Navier-Stokes equations
In this paper we present an a posteriori error estimate for a reduced order model (ROM) for the incompressible Navier-Stokes equations that is based on the fact that the full order model is a finite element (FE) approximation. Both this FE approximation and the ROM are stabilized by means of a varia...
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/343273 |
| Acesso em linha: | https://hdl.handle.net/2117/343273 https://dx.doi.org/10.1016/j.mechrescom.2020.103599 |
| Access Level: | acceso abierto |
| Palavra-chave: | Navier-Stokes equations Fluid dynamics A posteriori error estimates Reduced order model Variational multi-scale method Incompressible flows Equacions de Navier-Stokes Dinàmica de fluids -- Mètodes numèrics Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
| Resumo: | In this paper we present an a posteriori error estimate for a reduced order model (ROM) for the incompressible Navier-Stokes equations that is based on the fact that the full order model is a finite element (FE) approximation. Both this FE approximation and the ROM are stabilized by means of a variational multi-scale (VMS) strategy, in which the unknowns are split into FE scales and sub-grid scales (SGS), the latter being modeled in terms of the former. The SGS, when properly scaled, provide directly the a posteriori error estimate, both for the ROM and for the FE approximation. |
|---|