2020/07/03 by Thi‐Thao‐Phuong Hoang, Hoang, Thi-Thao-Phuong, Hyesuk Lee +1
Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #Model Reduction and Neural Networks
paper · pdf · doi:10.48550/arxiv.2007.01736
We study a decoupling iterative algorithm based on domain decomposition for\nthe time-dependent nonlinear Stokes-Darcy model, in which different time steps\ncan be used in the flow region and in the porous medium. The coupled system is\nformulated as a space-time interface problem based on the interface condition\nfor mass conservation. The nonlinear interface problem is then solved by a\nnested iteration approach which involves, at each Newton iteration, the\nsolution of a linearized interface problem and, at each Krylov iteration,\nparallel solution of time-dependent linearized Stokes and Darcy problems.\nConsequently, local discretizations in time (and in space) can be used to\nefficiently handle multiphysics systems of coupled equations evolving at\ndifferent temporal scales. Numerical results with nonconforming time grids are\npresented to illustrate the performance of the proposed method.\n