Special Session 163: Mathematical Modeling of Multiphysics Coupled Systems—Models, Algorithms, and Scalable Computing

Ensemble decoupled algorithms for dual-porosity-Stokes model with random physical parameters
Li Shan
Shantou University
Peoples Rep of China
Co-Author(s):    
Abstract:
The coupling of dual porosity seepage flow with free flow arises in modeling fractured porous media with large conduits. Those problems are encountered in many applications,like petroleum extraction, hydrology, geothermal systems and so on. However, accurate simulations are usually not feasible due to the fact it is physically impossible to know the exact parameter values in the model of interest. In this talk, we focus on the fast simulation for the dual-porosity-Stokes system with random physical parameters. Based on ensemble idea, we propose three decoupled algorithms and provide their stabilities and optimal error estimations. Besides, the numerical tests verify our theoretical results.