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.

翻译：本文提出了一种用于求解Ericksen-Leslie模型的二阶线性全解耦无条件能量稳定格式。该方法将压力修正法与标量辅助变量技术相结合，严格证明了所提格式的无条件能量稳定性。此外，我们通过多组数值实验验证了该方法的收敛阶数、稳定性及计算效率。