Paper Info
Title
On the combined effects of surface tension force calculation and interface advection on spurious currents within Volume of Fluid and Level Set frameworks
Abstract
This paper deals with the comparison of Eulerian methods to take into account the capillary contribution in the vicinity of a fluid-fluid interface. Eulerian methods are well-known to produce additional vorticity close to the interface that leads to non-physical spurious currents. Numerical equilibrium between pressure gradient and capillary force for the static bubble test case within a VOF framework has been reached in 35] with the height-function technique 14,35]. However, once the bubble is translated in a uniform flow, spurious currents are maintained by slight errors induced by translation schemes. In this work, two main points are investigated: the ability of Volume of Fluid and Level Set methods to accurately calculate the curvature, and the magnitude of spurious currents due to errors in the calculation of the curvature after advection in both translating and rotating flows. The spurious currents source term is expressed from the vorticity equation and used to discuss and compare the methods. Simulations of gas-liquid Taylor flow at low capillary number show that the flow structure and the bubble velocity can be significantly affected by spurious currents.
Year
DOI
Venue
2015
10.1016/j.jcp.2015.04.054
Journal of Computational Physics
Keywords
Field
DocType
Volume of fluid,Level set,Spurious currents,Continuum surface force,Height function,Taylor flow
Curvature,Vorticity,Volume of fluid method,Mathematical analysis,Vorticity equation,Pressure gradient,Spurious relationship,Capillary number,Mathematics,Potential flow
Journal
Volume
Issue
ISSN
297
C
0021-9991
Citations 
PageRank 
References 
12
0.86
10
Authors
3
Name
Order
Citations
PageRank
T. Abadie1120.86
J. Aubin2120.86
Dominique Legendre3173.14