论文标题
不稳定的Stokes/Darcy模型的可变时间播放算法
A variable timestepping algorithm for the unsteady Stokes/Darcy model
论文作者
论文摘要
该报告考虑了Dahlquist，Liniger和Nevanlinna提出的可变步骤离散算法，并将算法应用于Unsteady Stokes/Darcy模型。尽管长期被遗忘了，但很少探索，但该算法在各种流体流系统（包括耦合的Stokes/darcy模型）的可变时间段分析中具有优势。该论文证明，由于算法的G稳定性，不稳定的Stokes/Darcy模型的近似解决方案无条件稳定。同样，算法的G稳定性和一致性的组合也遵循可变的时间步进误差分析。数值实验进一步验证了理论结果，证明了时间依赖性Stokes/Darcy模型的算法的准确性和稳定性。
This report considers a variable step time discretization algorithm proposed by Dahlquist, Liniger and Nevanlinna and applies the algorithm to the unsteady Stokes/Darcy model. Although long-time forgotten and little explored, the algorithm performs advantages in variable timestep analysis of various fluid flow systems, including the coupled Stokes/Darcy model. The paper proves that the approximate solutions to the unsteady Stokes/Darcy model are unconditionally stable due to the G-stability of the algorithm. Also variable time stepping error analysis follows from the combination of G-stability and consistency of the algorithm. Numerical experiments further verify the theoretical results, demonstrating the accuracy and stability of the algorithm for time-dependent Stokes/Darcy model.
