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A Robin-Robin Domain Decomposition Method for a Stokes-Darcy Structure Interaction with a Locally Modified Mesh

Published online by Cambridge University Press:  09 August 2018

Zhaohui Wang ,
Zhilin Li  and
Sharon Lubkin
Zhaohui Wang*
Affiliation:
Department of Mathematics and Center for Research in Scientific Computation (CRSC), North Carolina State University, Raleigh, NC 27695, USA.
Zhilin Li*
Affiliation:
Department of Mathematics and Center for Research in Scientific Computation (CRSC), North Carolina State University, Raleigh, NC 27695, USA.
Sharon Lubkin*
Affiliation:
Department of Mathematics and Center for Research in Scientific Computation (CRSC), North Carolina State University, Raleigh, NC 27695, USA.
*
Email address: zwang24@ncsu.edu
Email: zhilin@ncsu.edu
*Corresponding author.Email: lubkin@ncsu.edu
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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

65N3065N5065N5576D0776S05Stokes-Darcy fluid structure interactionsRobin-Robin domain decomposition methodbody fitted meshlocally modified meshBJS interface condition
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 7 , Issue 4 , November 2014 , pp. 435 - 446
Copyright
Copyright © Global Science Press Limited 2014

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