A Cartesian Method with Second-Order Pressure Resolution for Incompressible Flows with Large Density Ratios
Language
en
Article de revue
This item was published in
Fluids. 2021-11-06, vol. 6, n° 11, p. 402
MDPI
English Abstract
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 ...Read more >
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.Read less <
English Keywords
immersed interfaces
level-set
interface unknowns
Cartesian grid
finite differences
projection method
incompressible Navier-Stokes equations
ANR Project
Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003
Origin
Hal imported