Effective downstream boundary conditions for incompressible Navier–Stokes equations

Bruneau, Charles‐Henri; Fabrie, Pierre

doi:10.1002/fld.1650190805

Cited by 109 publications

(96 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [6], several b.c. including (5.1) were proposed (for unsteady incompressible Navier-Stokes equations) in order to perform long-time simulations at high Reynolds numbers.…”

Section: Boundary Conditions In Applicationsmentioning

confidence: 99%

On pressure boundary conditions for steady flows of incompressible fluids with pressure and shear rate dependent viscosities

Lanzendörfer

Stebel

2011

Appl Math

View full text Add to dashboard Cite

“…In [6], several b.c. including (5.1) were proposed (for unsteady incompressible Navier-Stokes equations) in order to perform long-time simulations at high Reynolds numbers.…”

Section: Boundary Conditions In Applicationsmentioning

confidence: 99%

On pressure boundary conditions for steady flows of incompressible fluids with pressure and shear rate dependent viscosities

Lanzendörfer

Stebel

2011

Appl Math

View full text Add to dashboard Cite

“…We made a few attempts with Dirichlet conditions, taking into account the corresponding compatibility conditions for the Stokes equation; however they produce irrelevant velocity profiles next to the boundary. Possible improvements of the condition can also be found in [2][3][4].…”

Section: Boundary Conditions Formentioning

confidence: 96%

A mixture model for the dynamic of the gut mucus layer

Bouti¹,

Goudon

Labarthe

et al. 2016

ESAIM: ProcS

View full text Add to dashboard Cite

Abstract. We introduce a mixture model intended to describe the dynamics of the mucus layer that wraps the gut mucosa. This model takes into account the fluid mechanics of the gut content, the inhomogeneous rheology that depends on the fluid composition, and the main physiological mechanisms that ensure the homoeostasis of the mucus layer. Numerical simulations, based on a finite volume approach, prove the ability of the model to produce a stable steady-state mucus layer. We also perform a sensitivity analysis by using a meta-model based on polynomial chaos in order to identify the main parameters impacting the shape of the mucus layer. The effect of the interaction of the mucus with a population of bacteria is eventually discussed.Résumé. Nous présentons un modèle de mélange qui décrit l'évolution de la couche de mucus qui recouvre la muqueuse du gros intestin. Ce modèle prend en compte la mécanique des fluides qui composent le contenu intestinal, la rhéologie inhomogène dépendant de la composition du fluide et les principaux mécanismes physiologiques qui assurent l'homéostasie de la couche de mucus. Des résultats numériques, obtenus par une méthode volumes finis, démontrent la capacité du modèleà reproduire une couche de mucus stationnaire stable. Nous pratiquons ensuite une analyse de sensibilité en construisant un métamodèle basé sur des polynômes de chaos afin d'identifier les paramètres impactant le plus la forme de la couche de mucus. Finalement, nous discutons les effets des interactions entre la couche de mucus et une population bactérienne chimiotactique.

show abstract

“…The boundary condition (4c) is a modification of the so-called 'donothing' boundary condition, cf. [13].…”

Section: Mathematical Modelmentioning

confidence: 99%

Numerical simulation of fluid-structure interactions with stabilized finite element method

Sváček

2017

Advances in Engineering Software

View full text Add to dashboard Cite

Abstract. This paper is interested to the interactions of the incompressible flow with a flexibly supported airfoil. The bending and the torsion modes are considered. The problem is mathematically described. The numerical method is based on the finite element method. A combination of the streamline-upwind/Petrov-Galerkin and pressure stabilizing/Petrov-Galerkin method is used for the stabilization of the finite element method. The numerical results for a three-dimensional problem of flow over an airfoil are shown.

show abstract

Effective downstream boundary conditions for incompressible Navier–Stokes equations

Cited by 109 publications

References 8 publications

On pressure boundary conditions for steady flows of incompressible fluids with pressure and shear rate dependent viscosities

On pressure boundary conditions for steady flows of incompressible fluids with pressure and shear rate dependent viscosities

A mixture model for the dynamic of the gut mucus layer

Numerical simulation of fluid-structure interactions with stabilized finite element method

Contact Info

Product

Resources

About