TY - JOUR
T1 - A Robin-Robin Domain Decomposition Method for a Stokes-Darcy Structure Interaction with a Locally Modified Mesh
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 435
EP - 446
PY - 2014
DA - 2014/07
SN - 7
DO - http://doi.org/10.4208/nmtma.2014.1305si
UR - https://global-sci.org/intro/article_detail/nmtma/5883.html
KW - Stokes-Darcy fluid structure interactions, Robin-Robin domain decomposition
method, body fitted mesh, locally modified mesh, BJS interface condition.
AB - <p style="text-align: justify;">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&#39;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.</p>