【摘要】 首先,在非定常Stokes/Darcy模型的线性多步法的一阶θ-格式的基础上,该文结合time filter算法在几乎不增加计算量的情况下有效地将线性多步法的收敛阶由一阶提高到二阶,从而提出一种新的高效数值算法.其次,该文分别对耦合和解耦的线性多步法加time filter算法的稳定性和误差估计进行了理论分析.最后,数值实验进一步展示了耦合和解耦算法的有效性,收敛性和高效性.更多还原

【Abstract】 Firstly,based on the first-order θ-scheme of the Linear Multistep method for the unsteady Stokes/Darcy model,this paper combines the time filter algorithm to effectively improve the convergence order of the Linear Multistep method from first order to second order almost without increasing the amount of calculation,and a new efficient numerical algorithm is proposed.Secondly,the stability and error estimation of the coupled and decoupled Linear Multistep method plus time filter algorithm are analyzed theoretically.Finally,numerical experiments further demonstrate the effectiveness,convergence and efficiency of the coupled and decoupled algorithms.更多还原