STABILITY AND ERROR ANALYSIS OF PRESSURE-CORRECTION SCHEME FOR THE NAVIER-STOKES-PLANCK-NERNST-POISSON EQUATIONS

作     者：He, Yuyu Chen, Hongtao 

作者机构：School of Mathematical Sciences Xiamen University Xiamen Fujian361005 China Fujian Provincial Key Laboratory of Mathematical Modeling and High-Performance Scientific Computing Xiamen University Xiamen Fujian361005 China 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2024年

核心收录：

主　　题：Navier Stokes equations 

摘      要：In this paper, we propose and analyze first-order time-stepping pressure-correction projection scheme for the Navier-Stokes-Planck-Nernst-Poisson equations. By introducing a governing equation for the auxiliary variable through the ionic concentration equations, we reconstruct the original equations into an equivalent system and develop a first-order decoupled and linearized scheme. This scheme preserves non-negativity and mass conservation of the concentration components and is unconditionally energy stable. We derive the rigorous error estimates in the two dimensional case for the ionic concentrations, electric potential, velocity and pressure in the L2- and H1-norms. Numerical examples are presented to validate the proposed *** Codes 65M12, 65M15, 65N30, 76M10 © 2024, CC BY.