Skip to Main content Skip to Navigation
Journal articles

DDFV method for Navier-Stokes problem with outflow boundary conditions

Thierry Goudon 1 Stella Krell 2 Giulia Lissoni 1
1 COFFEE - COmplex Flows For Energy and Environment
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR7351
Abstract : We propose a Discrete Duality Finite Volume scheme (DDFV for short) for the unsteady incom-pressible Navier-Stokes problem with outflow boundary conditions. As in the continuous case, those conditions are derived from a weak formulation of the equations and they provide an energy estimate of the solution. We prove wellposedness of the scheme and a discrete energy estimate. Finally we perform some numerical tests simulating the flow behind a cylinder inside a long channel to show the robustness of such conditions in the DDFV framework.
Complete list of metadatas

Cited literature [22 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01842129
Contributor : Thierry Goudon <>
Submitted on : Tuesday, July 17, 2018 - 11:15:23 PM
Last modification on : Monday, October 12, 2020 - 2:28:05 PM

File

paper2018_final.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01842129, version 1

Citation

Thierry Goudon, Stella Krell, Giulia Lissoni. DDFV method for Navier-Stokes problem with outflow boundary conditions. Numerische Mathematik, Springer Verlag, 2019. ⟨hal-01842129⟩

Share

Metrics

Record views

371

Files downloads

419