4 papers
A Regularized Auxiliary Variable (RAV) Approach for Gradient Flows
Zhaoyang Wang, Ping Lin
In this paper, we propose a regularized auxiliary variable (RAV) approach and construct accurate and robust time-discrete schemes for a large class of gradient flows. By introducin…
Linear Relaxation Schemes with Asymptotically Compatible Energy Law for Time-Fractional Phase-Field Models
Hui Yu, Zhaoyang Wang, Ping Lin
In this paper, we propose a variable time-step linear relaxation scheme for time-fractional phase-field equations with a free energy density in general polynomial form. The $L1^{+}…
Second-Order Linear Relaxation Schemes for Time-Fractional Phase-Field Models
Hui Yu, Zhaoyang Wang, Ping Lin
This work uses a linear relaxation method to develop efficient numerical schemes for the time-fractional Allen-Cahn and Cahn-Hilliard equations. The L1+-CN formula is used to discr…
A thermodynamically consistent phase-field model for mass transport with interfacial reaction and deformation
Zhaoyang Wang, Huaxiong Huang, Ping Lin +1
In this paper, a thermodynamically consistent phase-field model is proposed to describe the mass transport and reaction processes of multiple species in a fluid. A key feature of t…