A linear, unconditionally stable, second order decoupled method for the Ericksen-Leslie model with SAV approach
Analysis of PDEs
2025-10-31 v3 Numerical Analysis
Numerical Analysis
Abstract
In this paper, we present a second order, linear, fully decoupled, and unconditionally energy stable scheme for solving the Erickson-Leslie model. This approach integrates the pressure correction method with a scalar auxiliary variable technique. We rigorously demonstrate the unconditional energy stability of the proposed scheme. Furthermore, we present several numerical experiments to validate its convergence order, stability, and computational efficiency.
Keywords
Cite
@article{arxiv.2503.19424,
title = {A linear, unconditionally stable, second order decoupled method for the Ericksen-Leslie model with SAV approach},
author = {Ruonan Cao and Nianyu Yi},
journal= {arXiv preprint arXiv:2503.19424},
year = {2025}
}