3 papers
math.NA2026
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…
math.NA2026
Unconditional stability and convergence analysis of novel regularization schemes for the Navier-Stokes equations
Zhaoyang Wang, Ping Lin
In this paper, we construct novel first- and second-order decoupled schemes for the Navier-Stokes equations based on the penalty method and the sequential regularization method (SR…
math.NA2025
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…