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Artículo
Error analysis of a residual-based stabilization-motivated POD-ROM for incompressible flows
(Elsevier, 2022-08-30)
This article presents error bounds for a velocity–pressure segregated POD reduced order model discretization of the Navier–Stokes equations. The stability is proven in L∞(L2) and energy norms for velocity, with bounds that ...
Artículo
A High-Order Local Projection Stabilization Method for Natural Convection Problems
(Springer, 2017-06-05)
In this paper, we propose a local projection stabilization (LPS) finite element method applied to numerically solve natural convection problems. This method replaces the projection-stabilized structure of standard LPS ...
Artículo
A review of variational multiscale methods for the simulation of turbulent incompressible flows
(Springer, 2015)
Various realizations of variational multiscale (VMS) methods for simulating turbulent incompressible flows have been proposed in the past fifteen years. All of these realizations obey the basic principles of VMS methods: ...
Artículo
Numerical analysis of a finite element projection-based VMS turbulence model with wall laws
(Elsevier, 2014-11-13)
This paper deals with the numerical analysis of a finite element projection-based VMS turbulence model that includes general non-linear wall laws. Only a single mesh and interpolation operators on a virtual coarser mesh ...