𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Time dependent subscales in the stabilized finite element approximation of incompressible flow problems

✍ Scribed by Ramon Codina; Javier Principe; Oriol Guasch; Santiago Badia

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
698 KB
Volume
196
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we analyze a stabilized finite element approximation for the incompressible Navier-Stokes equations based on the subgrid-scale concept. The essential point is that we explore the properties of the discrete formulation that results allowing the subgrid-scales to depend on time. This apparently ''natural'' idea avoids several inconsistencies of previous formulations and also opens the door to generalizations.

πŸ“œ SIMILAR VOLUMES

Pressure stabilization of finite element
Pressure stabilization of finite element approximations of time-dependent incompressible flow problems
✍ Gabriel R. Barrenechea; Jordi Blasco πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 541 KB

In this paper we develop and analyze pressure stabilized, finite element methods for the solution of the transient Stokes problem, which is a linear model problem of transient incompressible flow. A model for the bubble enrichment is proposed to stabilize the numerical solution and an implicit backw

Dynamic subscales in the finite element
Dynamic subscales in the finite element approximation of thermally coupled incompressible flows
✍ Ramon Codina; Javier Principe πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 589 KB

## Abstract In this paper, we propose a variational multiscale finite‐element approximation for the incompressible Navier–Stokes equations using the Boussinesq approximation to model thermal coupling. The main feature of the formulation in contrast to other stabilized methods is that we consider th