Nonconforming time discretization based on Robin transmission conditions for the Stokes-Darcy system
Nonconforming time discretization based on Robin transmission conditions for the Stokes-Darcy system
复制标题
DOI：
10.1016/j.amc.2021.126602
复制
发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Thi-Thao-Phuong Hoang;Hemanta Kunwar;H. Lee
中科院分区：
文献类型：
--
作者：
Thi-Thao-Phuong Hoang;Hemanta Kunwar;H. Lee
我们考虑一种基于施瓦茨波形弛豫（SWR）的时空域分解方法，用于时间相关的斯托克斯-达西系统。耦合系统被表述为基于 Robin-Robin 传输条件的瞬态接口问题，为此提出了解耦 SWR 算法并证明了其收敛性。在这种方法中，斯托克斯和达西问题是独立且全局及时解决的，因此允许对局部问题使用不同的时间步长。针对不同网格尺寸和时间步长的非物理和物理问题进行了数值测试，以说明该方法的准确性和效率。
We consider a space-time domain decomposition method based on Schwarz waveform relaxation (SWR) for the time-dependent Stokes–Darcy system. The coupled system is formulated as a time-dependent interface problem based on Robin–Robin transmission conditions, for which the decoupling SWR algorithm is proposed and proved for the convergence. In this approach, the Stokes and Darcy problems are solved independently and globally in time, thus allowing the use of different time steps for the local problems. Numerical tests are presented for both non-physical and physical problems with various mesh sizes and time step sizes to illustrate the accuracy and efficiency of the proposed method.