Total-variation-diminishing time discretizations
SIAM Journal on Scientific and Statistical Computing
High-resolution conservative algorithms for advection in incompressible flow
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
A new volume of fluid advection algorithm: the stream scheme
Journal of Computational Physics
Analytical relations connecting linear interfaces and volume fractions in rectangular grids
Journal of Computational Physics
Second order accurate volume tracking based on remapping for triangular meshes
Journal of Computational Physics
A geometrical area-preserving volume-of-fluid advection method
Journal of Computational Physics
Second-order accurate volume-of-fluid algorithms for tracking material interfaces
Journal of Computational Physics
Journal of Computational Physics
Efficient implementation of THINC scheme: A simple and practical smoothed VOF algorithm
Journal of Computational Physics
Short Note: Revisit to the THINC scheme: A simple algebraic VOF algorithm
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.45 |
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.