In this paper, a second-order temporal and spatial accurate, unconditionally energy stable
scheme for the binary fluid flows model on arbitrarily curved surfaces is proposed. We …

In this paper, we consider the mathematical modeling and numerical approximation for the
fluid-surfactant phase field model coupled with the Navier–Stokes equations on surfaces …

We propose a linear, fully decoupled, and energy stable finite difference scheme for solving
a phase-field surfactant fluid system. Inspired by the idea of multiple scalar auxiliary …

This paper proposes a first-and second-order unconditionally stable direct discretization
method based on a surface mesh consisting of piecewise triangles and its dual-surface …

In this article, we develop a new linear, decoupled, second-order accurate, and energy
stable numerical method for a modified phase-field surfactant model (Xu et al., 2020). The …

In this paper, we propose an efficient surface computational system with second-order
spatial and temporal accuracy to solve multiple physical field coupling problems over …

Phase transition in an irregular domain is a common phenomenon in the natural world. In
this study, we develop novel linear, temporally first-and second-order accurate, and …

In this study, we consider the numerical approximation of incompressible three-component
fluids, in which the fluid interfaces are captured by ternary Cahn–Hilliard equations and the …

Herein, we propose linear, decoupled, and energy dissipation-preserving schemes for the
ternary Cahn–Hilliard (CH) fluid models by using a modified scalar auxiliary variable …

In this study, we add nonlocal Lagrange multipliers to the Allen–Cahn (AC) equation to
establish the N-component conservative Allen–Cahn (CAC) system and the ternary …