Artificial boundaries and formulations for the incompressible Navier-Stokes equations. Applications to air and blood flows. - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada Year : 2014

Artificial boundaries and formulations for the incompressible Navier-Stokes equations. Applications to air and blood flows.

Abstract

We deal with numerical simulations of incompressible Navier-Stokes equations in truncated domain. In this context, the formulation of these equations has to be selected carefully in order to guarantee that their associated artificial boundary conditions are relevant for the considered problem. In this paper, we review some of the formulations proposed in the literature, and their associated boundary conditions. Some numerical results linked to each formulation are also presented. We compare different schemes, giving successful computations as well as problematic ones, in order to better understand the difference between these schemes and their behaviours dealing with systems involving Neumann boundary conditions. We also review two stabilization methods which aim at suppressing the instabilities linked to these natural boundary conditions.
Fichier principal
Vignette du fichier
_fouchet_artificialBCandFormulations_hal.pdf (1.45 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00926273 , version 1 (09-01-2014)

Identifiers

Cite

Justine Fouchet-Incaux. Artificial boundaries and formulations for the incompressible Navier-Stokes equations. Applications to air and blood flows.. SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2014, pp.40. ⟨10.1007/s40324-014-0012-y⟩. ⟨hal-00926273⟩
611 View
1327 Download

Altmetric

Share

Gmail Facebook X LinkedIn More