Kinetic energy control in explicit Finite Volume discretizations of the incompressible and compressible Navier-Stokes equations

Abstract : We prove that, under a cfl condition, the explicit upwind finite vol-ume discretization of the convection operator C(u) = ∂ t (ρu) + div(uq), with a given density ρ and momentum q, satisfies a discrete kinetic energy decrease property, provided that the convection operator satis-fies a "consistency-with-the-mass-balance property", which can be simply stated by saying that it vanishes for a constant advected field u.
Document type :
Journal articles
Liste complète des métadonnées

Cited literature [3 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01112391
Contributor : Raphaele Herbin <>
Submitted on : Monday, February 2, 2015 - 5:32:45 PM
Last modification on : Monday, March 4, 2019 - 2:04:18 PM
Document(s) archivé(s) le : Sunday, May 3, 2015 - 11:20:20 AM

File

stab_exp.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01112391, version 1

Citation

T Gallouët, R Herbin, J.-C Latché. Kinetic energy control in explicit Finite Volume discretizations of the incompressible and compressible Navier-Stokes equations. International Journal on Finite Volumes, Institut de Mathématiques de Marseille, AMU, 2010, 7 (2), pp.1-6. ⟨hal-01112391⟩

Share

Metrics

Record views

233

Files downloads

70