BERGMANN, Michel; WEYNANS, Lisl

doi:10.3390/fluids6110402

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BERGMANN, Michel
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]

WEYNANS, Lisl
Modélisation et calculs pour l'électrophysiologie cardiaque [CARMEN]

Langue

Article de revue

Ce document a été publié dans

Fluids. 2021-11-06, vol. 6, n° 11, p. 402

MDPI

Résumé en anglais

An Eulerian method to numerically solve incompressible bifluid problems with high density ratio is presented. This method can be considered as an improvement of the Ghost Fluid method, with the specificity of a sharp second-order numerical scheme for the spatial resolution of the discontinuous elliptic problem for the pressure. The Navier–Stokes equations are integrated in time with a fractional step method based on the Chorin scheme and discretized in space on a Cartesian mesh. The bifluid interface is implicitly represented using a level-set function. The advantage of this method is its simplicity to implement in a standard monofluid Navier–Stokes solver while being more accurate and conservative than other simple classical bifluid methods. The numerical tests highlight the improvements obtained with this sharp method compared to the reference standard first-order methods.< Réduire

Mots clés en anglais

immersed interfaces

level-set

interface unknowns

Cartesian grid

finite differences

projection method

incompressible Navier-Stokes equations

URI

https://oskar-bordeaux.fr/handle/20.500.12278/191304

DOI

http://dx.doi.org/10.3390/fluids6110402

Project ANR

Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251