烟台大学学报（自然科学与工程版）2025，Vol.38Issue(2)：143-155,13.DOI:10.13951/j.cnki.37-1213/n.240607
两相多孔介质铁磁流体模型的一个高效算法
An Efficient Algorithm for Ferromagnetic Fluid Model of Two-Phase Porous Media
摘要
Abstract
A mathematical model for two-phase porous media ferromagnetic fluid based on the Cahn-Hilliard phase field equation was developed,along with its energy law.To efficiently solve the nonlinear,coupled,saddle-point structured systems in porous media ferromagnetic fluids,a unified framework combing the scalar auxiliary variable(SAV)method and the zero energy(ZEC)method was applied.This framework proposes a linear,first-order time-accurate,fully decoupled sheme that ensures mass conservation and unconditional energy stability.This ap-proach further confirms the scheme's mass conservation,unconditional energy stability,and suitability.Finally,the effectiveness,convergence,and stability of the mathematical model and scheme were verified through several numerical examples.关键词
两相多孔介质铁磁流体/SAV-ZEC统一框架/解耦格式/无条件稳定Key words
two-phase porous medium ferromagnetic fluid/unified framework of the SAV-ZEC/decoupling format/unconditional stability引用本文复制引用
姜莹莹,周帅,张国栋..两相多孔介质铁磁流体模型的一个高效算法[J].烟台大学学报（自然科学与工程版）,2025,38(2):143-155,13.基金项目
国家自然科学基金资助项目(12171415,12271468). （12171415,12271468）
