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arXiv · 2503.19424

A linear, unconditionally stable, second order decoupled method for the Ericksen-Leslie model with SAV approach

Ruonan Cao·Nianyu Yi
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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.

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Ruonan Cao, Nianyu Yi. 2025-03-25. A linear, unconditionally stable, second order decoupled method for the Ericksen-Leslie model with SAV approach. https://arxiv.org/abs/2503.19424

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