A FIC-based stabilized finite element formulation for turbulent flows

We present a new stabilized finite element (FEM) formulation for incompressible flows based on the Finite Increment Calculus (FIC) framework. In comparison to existing FIC approaches for fluids, this formulation involves a new term in the momentum equation, which introduces non-isotropic dissipation...

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Detalles Bibliográficos
Autores: Cotela Dalmau, Jordi|||0000-0002-4635-0423, Rossi, Riccardo|||0000-0003-0528-7074, Oñate Ibáñez de Navarra, Eugenio|||0000-0002-0804-7095
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/100097
Acceso en línea:https://hdl.handle.net/2117/100097
https://dx.doi.org/10.1016/j.cma.2016.11.020
Access Level:acceso abierto
Palabra clave:Finite element method
Finite Increment Calculus
Turbulence modeling
Stabilized finite elements
Elements finits, Mètode dels
Àrees temàtiques de la UPC::Enginyeria mecànica
Descripción
Sumario:We present a new stabilized finite element (FEM) formulation for incompressible flows based on the Finite Increment Calculus (FIC) framework. In comparison to existing FIC approaches for fluids, this formulation involves a new term in the momentum equation, which introduces non-isotropic dissipation in the direction of velocity gradients. We also follow a new approach to the derivation of the stabilized mass equation, inspired by recent developments for quasi-incompressible flows. The presented FIC-FEM formulation is used to simulate turbulent flows, using the dissipation introduced by the method to account for turbulent dissipation in the style of implicit large eddy simulation.