FIC/FEM formulation with matrix stabilizing terms for incompressible flows at low and high Reynolds numbers
2006
Oñate Ibáñez de Navarra, Eugenio | Valls, A. | García Espinosa, Julio | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental | Universitat Politècnica de Catalunya. Departament de Ciència i Enginyeria Nàutiques | Centre Internacional de Mètodes Numèrics en Enginyeria | Universitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-006-0060-y
Show more [+] Less [-]We present a general formulation for incompressible fluid flow analysis using the finite element method. The necessary stabilization for dealing with convective effects and the incompressibility condition are introduced via the Finite Calculus method using a matrix form of the stabilization parameters. This allows to model a wide range of fluid flow problems for low and high Reynolds numbers flows without introducing a turbulence model. Examples of application to the analysis of incompressible flows with moderate and large Reynolds numbers are presented.
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