A finite element technique for multifluid incompressible flow using Eulerian grids

TY - JOUR

T1 - A finite element technique for multifluid incompressible flow using Eulerian grids

AU - Minev, P. D.

AU - Chen, T.

AU - Nandakumar, K.

N1 - Funding Information: This study was supported by a research grant of the National Science and Engineering Research Council of Canada.

PY - 2003/5/1

Y1 - 2003/5/1

N2 - The paper presents a finite element method for 3D incompressible fluid flows with capillary free boundaries. It uses a fixed Eulerian grid of 10 nodes (ℙ2 - ℙ1) tetrahedra and tracks the free boundary using a six nodes (ℙ2) triangular surface grid. In order to improve the mass conservation properties of the method, a local enrichment of the finite element basis in the elements intersected by the free boundaries is employed. In addition to the surface tracking, it also advects a smooth indicator function for an easy identification of the fluid properties in the different parts of the domain. The advective part of the Navier-Stokes equations is split and integrated with a characteristic method. The remaining generalized Stokes problem is resolved by means of an inexact outer-inner (Uzawa) iteration with a properly chosen preconditioner. The performance of this technique is evaluated on several problems involving droplets in viscous liquids.

AB - The paper presents a finite element method for 3D incompressible fluid flows with capillary free boundaries. It uses a fixed Eulerian grid of 10 nodes (ℙ2 - ℙ1) tetrahedra and tracks the free boundary using a six nodes (ℙ2) triangular surface grid. In order to improve the mass conservation properties of the method, a local enrichment of the finite element basis in the elements intersected by the free boundaries is employed. In addition to the surface tracking, it also advects a smooth indicator function for an easy identification of the fluid properties in the different parts of the domain. The advective part of the Navier-Stokes equations is split and integrated with a characteristic method. The remaining generalized Stokes problem is resolved by means of an inexact outer-inner (Uzawa) iteration with a properly chosen preconditioner. The performance of this technique is evaluated on several problems involving droplets in viscous liquids.

KW - Finite element method

KW - Free boundary problems

KW - Incompressible flow

UR - http://www.scopus.com/inward/record.url?scp=0037406541&partnerID=8YFLogxK

U2 - 10.1016/S0021-9991(03)00098-6

DO - 10.1016/S0021-9991(03)00098-6

M3 - 文章

AN - SCOPUS:0037406541

SN - 0021-9991

VL - 187

SP - 255

EP - 273

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 1

ER -