Title
An interface capturing method with a continuous function: The THINC method on unstructured triangular and tetrahedral meshes.
Abstract
A novel interface-capturing method is proposed to compute moving interfaces on unstructured grids with triangular (2D) and tetrahedral (3D) elements. Different from the conventional VOF (volume of fluid) method which involves geometric reconstructions of the interface, the present method is based on the algebraic reconstruction approach originally developed in the THINC (tangent of hyperbola interface capturing) scheme by Xiao et al. (2005) [17]. A continuous multidimensional hyperbolic tangent function is employed for retrieving the jump-like distribution of the indicator function, which avoids the explicit geometric representation of the interface and thus substantially reduces the algorithmic complexity in unstructured grids. Numerical diffusion and smearing are effectively eliminated, and the compact thickness of the jump transition layer in the volume fraction is retained throughout the computation even for largely deformed interface. The solution quality of the present scheme is comparable to the VOF method with PLIC (piecewise linear interface calculation) algorithm.
Year
DOI
Venue
2014
10.1016/j.jcp.2013.11.034
Journal of Computational Physics
Keywords
Field
DocType
Multiphase flow,Moving interface,Interface capturing method,Triangular/tetrahedral mesh,Volume of fluid (VOF),Multidimensional THINC method
Continuous function,Mathematical optimization,Volume of fluid method,Mathematical analysis,Tangent,Numerical diffusion,Hyperbola,Tetrahedron,Piecewise linear function,Mathematics,Computation
Journal
Volume
ISSN
Citations 
259
0021-9991
0
PageRank 
References 
Authors
0.34
5
3
Name
Order
Citations
PageRank
Satoshi Ii19811.72
Bin Xie233.83
Feng Xiao39012.78