A decoupling method with different subdomain time steps for the nonstationary stokes-darcy model

作者：Shan Li^*; Zheng Haibiao; Layton William J

来源：Numerical Methods for Partial Differential Equations, 2013, 29(2): 549-583.

DOI：10.1002/num.21720

• asynchronous time stepping
• multirate method
• decoupling method
• Stokes-Darcy problem

This report analyzes a multirate, decoupling algorithm, which allows different time steps in the fluid region and the porous region for the nonstationary StokesDarcy problem. The method presented requires only one, uncoupled Stokes and Darcy subphysics and subdomain solve per time step. Under a time step restriction of the form Delta t <= C (physical parameters) we prove stability and convergence of the method. Numerical tests are given to show the convergence result and demonstrate the computational efficiency of the partitioned method. They also show that in the expected case of greater fluid velocities in the free-flow region than in the porous media region, allowing smaller time steps in the subregion with the faster velocities increases both accuracy and efficiency.

• 出版日期2013-3
• 单位西安交通大学