35 citations · 110 across the 11 of their papers we have counts for
4 papers · 1 filter
A Level Set Method for the Simulation of Moving Contact Lines in Three Dimensions
Quan Zhao, Shixin Xu, Weiqing Ren
We propose an efficient numerical method for the simulation of multi-phase flows with moving contact lines in three dimensions. The mathematical model consists of the incompressibl…
Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations
Weizhu Bao, Harald Garcke, Robert Nurnberg +1
We propose and analyze volume-preserving parametric finite element methods for surface diffusion, conserved mean curvature flow and an intermediate evolution law in an axisymmetric…
A Thermodynamically Consistent Model and Its Conservative Numerical Approximation for Moving Contact Lines with Soluble Surfactants
Quan Zhao, Weiqing Ren, Zhen Zhang
We derive a continuum sharp-interface model for moving contact lines with soluble surfactants in a thermodynamically consistent framework. The model consists of the isothermal two-…
A structure-preserving parametric finite element method for surface diffusion
Weizhu Bao, Quan Zhao
We propose a structure-preserving parametric finite element method (SP-PFEM) for discretizing the surface diffusion of a closed curve in two dimensions (2D) or surface in three dim…