87 citations · 457 across the 24 of their papers we have counts for
24 papers
A structure-preserving parametric finite element method for solid-state dewetting on curved substrates
Weizhu Bao, Yifei Li, Quan Zhao
We consider a two-dimensional sharp-interface model for solid-state dewetting of thin films with anisotropic surface energies on curved substrates, where the film/vapor interface a…
Dynamics of Small Solid Particles on Substrates of Arbitrary Topography
Quan Zhao, Wei Jiang, Yan Wang +3
We study the dynamics of a small solid particle arising from the dewetting of a thin film on a curved substrate driven by capillarity, where mass transport is controlled by surface…
A variational front-tracking method for multiphase flow with triple junctions
Harald Garcke, Robert Nürnberg, Quan Zhao
We present and analyze a variational front-tracking method for a sharp-interface model of multiphase flow. The fluid interfaces between different phases are represented by curve ne…
Arbitrary Lagrangian-Eulerian finite element approximations for axisymmetric two-phase flow
Harald Garcke, Robert Nürnberg, Quan Zhao
We analyze numerical approximations for axisymmetric two-phase flow in the arbitrary Lagrangian-Eulerian (ALE) framework. We consider a parametric formulation for the evolving flui…
Unfitted finite element methods for axisymmetric two-phase flow
Harald Garcke, Robert Nürnberg, Quan Zhao
We propose and analyze unfitted finite element approximations for the two-phase incompressible Navier--Stokes flow in an axisymmetric setting. The discretized schemes are based on…
Structure-preserving discretizations of two-phase Navier-Stokes flow using fitted and unfitted approaches
Harald Garcke, Robert Nürnberg, Quan Zhao
We consider the numerical approximation of a sharp-interface model for two-phase flow, which is given by the incompressible Navier-Stokes equations in the bulk domain together with…
A diffuse-interface approach for solid-state dewetting with anisotropic surface energies
Harald Garcke, Patrik Knopf, Robert Nürnberg +1
We present a diffuse-interface model for the solid-state dewetting problem with anisotropic surface energies in for . The introduced model consists of…
A structure-preserving finite element approximation of surface diffusion for curve networks and surface clusters
Weizhu Bao, Harald Garcke, Robert Nürnberg +1
We consider the evolution of curve networks in two dimensions (2d) and surface clusters in three dimensions (3d). The motion of the interfaces is described by surface diffusion, wi…
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…
An Energy-Stable Parametric Finite Element Method for Simulating Solid-state Dewetting Problems in Three Dimensions
Weizhu Bao, Quan Zhao
We propose an accurate and energy-stable parametric finite element method for solving the sharp-interface continuum model of solid-state dewetting in three-dimensional space. The m…
A Finite Element Method for Electrowetting on Dielectric
Quan Zhao, Weiqing Ren
We consider the problem of electrowetting on dielectric (EWoD). The system involves the dynamics of a conducting droplet, which is immersed in another dielectric fluid, on a dielec…
An energy-stable parametric finite element method for simulating solid-state dewetting
Quan Zhao, Wei Jiang, Weizhu Bao
We propose an energy-stable parametric finite element method (ES-PFEM) for simulating solid-state dewetting of thin films in two dimensions via a sharp-interface model, which is go…
An Energy-stable Finite Element Method for the Simulation of Moving Contact Lines in Two-phase Flows
Quan Zhao, Weiqing Ren
We consider the dynamics of two-phase fluids, in particular the moving contact line, on a solid substrate. The dynamics are governed by the sharp-interface model consisting of the…
A parametric finite element method for solid-state dewetting problems in three dimensions
Quan Zhao, Wei Jiang, Weizhu Bao
We propose a parametric finite element method (PFEM) for efficiently solving the morphological evolution of solid-state dewetting of thin films on a flat rigid substrate in three d…
Sharp-interface model for simulating solid-state dewetting in three dimensions
Wei Jiang, Quan Zhao, Weizhu Bao
The problem of simulating solid-state dewetting of thin films in three dimensions (3D) by using a sharp-interface approach is considered in this paper. Based on the thermodynamic v…
Application of Onsager's variational principle to the dynamics of a solid toroidal island on a substrate
Wei Jiang, Quan Zhao, Tiezheng Qian +2
In this paper, we consider the capillarity-driven evolution of a solid toroidal island on a flat rigid substrate, where mass transport is controlled by surface diffusion. This prob…
Sharp-interface approach for simulating solid-state dewetting in two dimensions: a Cahn-Hoffman -vector formulation
Wei Jiang, Quan Zhao
By using a Cahn-Hoffman -vector formulation, we propose a sharp-interface approach for solving solid-state dewetting problems in two dimensions. First, based on the t…
A sharp-interface model and its numerical approximation for solid-state dewetting with axisymmetric geometry
Quan Zhao
Based on the thermodynamic variation, we rigorously derive the sharp-interface model for solid-state dewetting on a flat substrate in the form of cylindrical symmetry. The governin…
Triple junction drag effects during topological changes in the evolution of polycrystalline microstructures
Quan Zhao, Wei Jiang, David J. Srolovitz +1
Experiments, theory and atomistic simulations show that finite triple junction mobility results in non-equilibrium triple junction angles in evolving polycrystalline systems. These…
A parametric finite element method for solid-state dewetting problems with anisotropic surface energies
Weizhu Bao, Wei Jiang, Yan Wang +1
We propose an efficient and accurate parametric finite element method (PFEM) for solving sharp-interface continuum models for solid-state dewetting of thin films with anisotropic s…
Solid-State Dewetting and Island Morphologies in Strongly Anisotropic Materials
Wei Jiang, Yan Wang, Quan Zhao +2
We propose a sharp-interface continuum model based on a thermodynamic variational approach to investigate the strong anisotropic effect on solid-state dewetting including contact l…