A Robin-Robin Domain Decomposition Method for a Stokes-Darcy Structure Interaction with a Locally Modified Mesh
DOI:
https://doi.org/10.4208/nmtma.2014.1305siKeywords:
Stokes-Darcy fluid structure interactions, Robin-Robin domain decomposition method, body fitted mesh, locally modified mesh, BJS interface condition.Abstract
A new numerical method based on locally modified Cartesian meshes is proposed for solving a coupled system of a fluid flow and a porous media flow. The fluid flow is modeled by the Stokes equations while the porous media flow is modeled by Darcy's law. The method is based on a Robin-Robin domain decomposition method with a Cartesian mesh with local modifications near the interface. Some computational examples are presented and discussed.