Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows

Authors:
Sven Gross;Arnold Reusken
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2007

Citing 0
Cited 5

Simulation of axisymmetric jets with a finite element Navier-Stokes solver and a multilevel VOF approach

Journal of Computational Physics
A parallel strategy for a level set simulation of droplets moving in a liquid medium

VECPAR'10 Proceedings of the 9th international conference on High performance computing for computational science
Parallel re-initialization of level set functions on distributed unstructured tetrahedral grids

Journal of Computational Physics
Semi-implicit surface tension formulation with a Lagrangian surface mesh on an Eulerian simulation grid

Journal of Computational Physics
A hybrid parallel algorithm for transforming finite element functions from adaptive to cartesian grids

HPCS'09 Proceedings of the 23rd international conference on High Performance Computing Systems and Applications

Quantified Score

Hi-index	0.02

Visualization

Abstract

We consider a standard model for a stationary two-phase incompressible flow with surface tension. In the variational formulation of the model a linear functional which describes the surface tension force occurs. This functional depends on the location and the curvature of the interface. In a finite element discretization method the functional has to be approximated. For an approximation method based on a Laplace-Beltrami representation of the curvature we derive sharp bounds for the approximation error. A new modified approximation method with a significantly smaller error is introduced.