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Volume 7, Issue 4
A Robin-Robin Domain Decomposition Method for a Stokes-Darcy Structure Interaction with a Locally Modified Mesh

Zhaohui Wang, Zhilin Li & Sharon Lubkin

DOI: 10.4208/nmtma.2014.1305si

Numer. Math. Theor. Meth. Appl., 7 (2014), pp. 435-446.

Published online: 2014-07

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  • 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.

  • Keywords

Stokes-Darcy fluid structure interactions, Robin-Robin domain decomposition method, body fitted mesh, locally modified mesh, BJS interface condition.

  • AMS Subject Headings

65N30, 65N50, 65N55, 76D07, 76S05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-7-435, author = {Zhaohui Wang, Zhilin Li and Sharon Lubkin}, title = {A Robin-Robin Domain Decomposition Method for a Stokes-Darcy Structure Interaction with a Locally Modified Mesh}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2014}, volume = {7}, number = {4}, pages = {435--446}, 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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2014.1305si}, url = {http://global-sci.org/intro/article_detail/nmtma/5883.html} }
TY - JOUR T1 - A Robin-Robin Domain Decomposition Method for a Stokes-Darcy Structure Interaction with a Locally Modified Mesh AU - Zhaohui Wang, Zhilin Li & Sharon Lubkin 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 -

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.

Zhaohui Wang, Zhilin Li and Sharon Lubkin. (2014). A Robin-Robin Domain Decomposition Method for a Stokes-Darcy Structure Interaction with a Locally Modified Mesh. Numerical Mathematics: Theory, Methods and Applications. 7 (4). 435-446. doi:10.4208/nmtma.2014.1305si
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