365 citations · 954 across the 18 of their papers we have counts for
18 papers
Efficient linear, Stabilized, second-order time marching schemes for an anisotropic phase field dendritic crystal growth model
Xiaofeng Yang
We consider numerical approximations for a phase field dendritic crystal growth model, which is a highly nonlinear system that couples the anisotropic Allen-Cahn type equation and…
Numerical approximations for the binary Fluid-Surfactant Phase Field Model with fluid flow: Second-order, Linear, Energy stable schemes
Xiaofeng Yang
In this paper, we consider numerical approximations of a binary fluid-surfactant phase-field model coupled with the fluid flow, in which the system is highly nonlinear that couples…
Efficient schemes with unconditionally energy stability for the anisotropic Cahn-Hilliard Equation using the stabilized-Scalar Augmented Variable (S-SAV) approach
Xiaofeng Yang
In this paper, we consider numerical approximations for the anisotropic Cahn-Hilliard equation. The main challenge of constructing numerical schemes with unconditional energy stabi…
Numerical approximations of the Cahn-Hilliard and Allen-Cahn Equations with general nonlinear potential using the Invariant Energy Quadratization approach
Xiaofeng Yang, Guodong Zhang
In this paper, we carry out stability and error analyses for two first-order, semi-discrete time stepping schemes, which are based on the newly developed Invariant Energy Quadratiz…
Stability and convergence analysis of A linear, fully decoupled and unconditionally energy stable scheme for magneto-hydrodynamic equations
Guodong Zhang, Xiaoming He, Xiaofeng Yang
In this paper, we consider numerical approximations for solving the nonlinear magneto-hydrodynamical system, that couples the Navier-Stokes equations and Maxwell equations together…
A novel energy-based phase field model for ferrodroplet deformation and breakup in a uniform magnetic field
Feng Bai, Rui Li, Xiaofeng Yang +2
In this paper, we propose a novel, thermodynamically consistent phase field model to simulate the deformation and breakup of a ferrodroplet that is immersed in a viscous medium and…
Decoupled, Energy Stable Scheme for Hydrodynamic Allen-Cahn Phase Field Moving Contact Line Model
Rui Chen, Xiaofeng Yang, Hui Zhang
In this paper, we present an efficient energy stable scheme to solve a phase field model incorporating contact line condition. Instead of the usually used Cahn-Hilliard type phase…
Second Order, linear and unconditionally energy stable schemes for a hydrodynamic model of Smectic-A Liquid Crystals
Rui Chen, Xiaofeng Yang, Hui Zhang
In this paper, we consider the numerical approximations for a hydrodynamical model of smectic-A liquid crystals. The model, derived from the variational approach of the modified Os…
Efficient Second Order Unconditionally Stable Schemes for a Phase-field Moving Contact Line Model Using Invariant Energy Quadratization Approach
Xiaofeng Yang, Haijun Yu
We consider the numerical approximations for a phase field model consisting of incompressible Navier--Stokes equations with a generalized Navier boundary condition, and the Cahn-Hi…
A Linear, Decoupled and Energy stable scheme for smectic-A Liquid Crystal Flows
Xiaofeng Yang, Alex Brylev
In this paper, we consider numerical approximations for the model of smectic-A liquid crystal flows. The model equation, that is derived from the variational approach of the de Gen…
Numerical Approximations for the Cahn-Hilliard phase field model of the binary fluid-surfactant system
Xiaofeng Yang
In this paper, we consider the numerical approximations for the commonly used binary fluid-surfactant phase field model that consists two nonlinearly coupled Cahn-Hilliard equation…
Numerical Approximations for a three components Cahn-Hilliard phase-field Model based on the Invariant Energy Quadratization method
Xiaofeng Yang, Jia Zhao, Qi Wang +1
How to develop efficient numerical schemes while preserving the energy stability at the discrete level is a challenging issue for the three component Cahn-Hilliard phase-field mode…
Linear and Unconditionally Energy Stable Schemes for the binary Fluid-Surfactant Phase Field Model
Xiaofeng Yang, Lili Ju
In this paper, we consider the numerical solution of a binary fluid-surfactant phase field model, in which the free energy contains a nonlinear coupling entropy, a Ginzburg-Landau…
On Linear and unconditionally energy stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential
Xiaofeng Yang, Jia Zhao
In this paper, we consider the numerical approximations for the fourth order Cahn-Hilliard equation with concentration dependent mobility, and the logarithmic Flory-Huggins potenti…
Efficient and accurate numerical schemes for a hydrodynamically coupled phase field diblock copolymer model
Qing Cheng, Xiaofeng Yang, Jie Shen
In this paper, we consider numerical approximations of a hydrodynamically coupled phase field diblock copolymer model, in which the free energy contains a kinetic potential, a grad…
Numerical Approximations for a Phase-Field Moving Contact Line Model with Variable Densities and Viscosities
Haijun Yu, Xiaofeng Yang
We consider the numerical approximations of a two-phase hydrodynamics coupled phase-field model that incorporates the variable densities, viscosities and moving contact line bounda…
Linear, Second order and Unconditionally Energy stable schemes for The Viscous Cahn-Hilliard Equation with hyperbolic relaxation using the invariant energy quadratization method
Xiaofeng Yang, Jia Zhao
In this paper, we consider numerical approximations for the viscous Cahn-Hilliard equation with hyperbolic relaxation. This type of equations processes energy-dissipative structure…
Flow-pattern switching in a Motored Spark Ignition Engine
Preeti S. Abraham, Xiaofeng Yang, Saurabh Gupta +3
Cyclic-to-cycle variability, CCV, of intake-jet flow in an optical engine was measured using particle image velocimetry (PIV), revealing the possibility of two different flow patte…