Work

Stability and error analysis of pressure-correction scheme for the Navier–Stokes–Planck–Nernst–Poisson equations

Year: 2025

Type: article

Abstract: In this paper, we propose and analyze first-order time-stepping pressure-correction projection scheme for the Navier–Stokes–Planck–Nernst–Poisson (NSPNP) equations. By introducing a governing equation for the auxiliary variable through the convective PNP parts, 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 scheme.

Source: ESAIM Mathematical Modelling and Numerical Analysis

DOI: 10.1051/m2an/2025020

Authors: Yuyu He, Hongtao Chen

Institution: Xiamen University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid:

Funders: National Natural Science Foundation of China, Natural Science Foundation of Fujian Province, Fundamental Research Funds for the Central Universities