Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/20365

Title: The interface control domain decomposition (ICDD) method for Stokes-Darcy coupling
Authors: Discacciati, Marco
Gervasio, Paola
Giacomini, Alessandro
Quarteroni, Alfio
Keywords: Domain decomposition
Optimal control
Stokes-Darcy coupling
Heterogeneous problems
ICDD
Issue Date: 2016
Publisher: © Society for Industrial and Applied Mathematics
Citation: DISCACCIATI, M. ...et al., 2016. The interface control domain decomposition (ICDD) method for Stokes-Darcy coupling. SIAM Journal on Numerical Analysis, 54(2), pp.1039-1068.
Abstract: The ICDD method [15, 16] is here proposed to solve the coupling between Stokes and Darcy equations. According to this approach, the problem is formulated as an optimal control problem whose control variables are the traces of the velocity and the pressure on the internal boundaries of the subdomains that provide an overlapping decomposition of the original computational domain. A theoretical analysis is carried out and the well-posedness of the problem is proved under certain assumptions on both the geometry and the model parameters. An efficient solution algorithm is proposed, and several numerical tests are implemented. Our results show the accuracy of the ICDD method, its computational efficiency and robustness with respect to the different parameters involved (grid-size, polynomial degrees, permeability of the porous domain, thickness of the overlapping region). The ICDD approach turns out to be more versatile and easier to implement than the celebrated model based on the Beavers, Joseph and Saffman coupling conditions.
Description: This paper was accepted for publication in the journal SIAM Journal on Numerical Analysis and the definitive published version is available at http://dx.doi.org/10.1137/15M101854X
Sponsor: The first author acknowledges funding from the European Union Seventh Framework Programme (FP7/2007-2013) under grand agreement no. 294229.
Version: Accepted for publication
DOI: 10.1137/15M101854X
URI: https://dspace.lboro.ac.uk/2134/20365
Publisher Link: http://dx.doi.org/10.1137/15M101854X
ISSN: 0036-1429
Appears in Collections:Published Articles (Maths)

Files associated with this item:

File Description SizeFormat
DGGQ_msd.pdfAccepted version719.98 kBAdobe PDFView/Open

 

SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.