标题：A PARTITIONED METHOD WITH DIFFERENT TIME STEPS FOR COUPLED STOKES AND DARCY FLOWS WITH TRANSPORT
作者：Zhang, Jingyuan; Rui, Hongxing; Cao, Yanzhao
作者机构：[Zhang, Jingyuan; Rui, Hongxing] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.; [Cao, Yanzhao] Auburn Univ, Dept Math & Stat, Au 更多
通讯作者地址：[Zhang, JY]Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
来源：INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
关键词：Coupled Stokes and Darcy flows; solute transport; decoupled algorithm;; different time steps; error estimates
摘要：A decoupled finite element algorithm with different time steps on different physical variables for a Stokes-Darcy interface system coupled with the solution transport is studied. The viscosity of the Stokes equation is assumed to depend on the concentration of the transported solution. The numerical algorithm consists of two steps. In the first step, the system is decoupled on the interface. In the second step, the time derivatives are discretized with different step sizes for different partial differential equations in the system. An careful error analysis provides a guidance on the ratio of the step sizes with respect to the ratio of the physical parameters. Numerical examples are presented to verify the theoretical results and illustrate the effectiveness of the decoupled algorithm of using different time steps.