TY - JOUR
T1 - A strongly conservative finite element method for the coupling of Stokes and Darcy flow
AU - Kanschat, G.
AU - Rivière, B.
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-CI-016-04
Acknowledgements: Supported in part by the National Science Foundation through Grant Nos DMS-0713829 and DMS-0810387 and by the King Abdullah University of Science and Technology (KAUST) through Award No KUS-CI-016-04Supported in part by the National Science Foundation through Grant No DMS-0810422
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2010/8
Y1 - 2010/8
N2 - We consider a model of coupled free and porous media flow governed by Stokes and Darcy equations with the Beavers-Joseph-Saffman interface condition. This model is discretized using divergence-conforming finite elements for the velocities in the whole domain. Discontinuous Galerkin techniques and mixed methods are used in the Stokes and Darcy subdomains, respectively. This discretization is strongly conservative in Hdiv(Ω) and we show convergence. Numerical results validate our findings and indicate optimal convergence orders. © 2010 Elsevier Inc.
AB - We consider a model of coupled free and porous media flow governed by Stokes and Darcy equations with the Beavers-Joseph-Saffman interface condition. This model is discretized using divergence-conforming finite elements for the velocities in the whole domain. Discontinuous Galerkin techniques and mixed methods are used in the Stokes and Darcy subdomains, respectively. This discretization is strongly conservative in Hdiv(Ω) and we show convergence. Numerical results validate our findings and indicate optimal convergence orders. © 2010 Elsevier Inc.
UR - http://hdl.handle.net/10754/597415
UR - https://linkinghub.elsevier.com/retrieve/pii/S002199911000197X
UR - http://www.scopus.com/inward/record.url?scp=77953614420&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2010.04.021
DO - 10.1016/j.jcp.2010.04.021
M3 - Article
SN - 0021-9991
VL - 229
SP - 5933
EP - 5943
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 17
ER -