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math.NA2024
A fully-decoupled second-order-in-time and unconditionally energy stable scheme for a phase-field model of two phase flow with variable density
Jinpeng Zhang, Li Luo, Xiaoping Wang
In this paper, we develop a second-order, fully decoupled, and energy-stable numerical scheme for the Cahn-Hilliard-Navier-Stokes model for two phase flow with variable density and…
math.NA2024
A Relaxed Lagrange Multiplier Approach for Phase Field Models
Jinpeng Zhang, Chaoyu Quan, Xiaoping Wang
This paper introduces a novel relaxed Lagrange multiplier (RLM) method for designing efficient and energy-stable numerical schemes for phase-field models. The proposed approach ref…
math.NA2024
An efficient unconditional energy stable scheme for the simulation of droplet formation
Jinpeng Zhang, Changjuan Zhang, Xiaoping Wang
We have developed an efficient and unconditionally energy-stable method for simulating droplet formation dynamics. Our approach involves a novel time-marching scheme based on the s…