Some multilevel decoupled algorithms for a mixed navier-stokes/darcy model

In this work, several multilevel decoupled algorithms are proposed for a mixed Navier-Stokes/Darcy model. These algorithms are based on either successively or parallelly solving two linear subdomain problems after solving a coupled nonlinear coarse grid problem. Error estimates are given to demonstr...

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Veröffentlicht in:Advances in computational mathematics Jg. 44; H. 1; S. 115 - 145
Hauptverfasser: Cai, Mingchao, Huang, Peiqi, Mu, Mo
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 01.02.2018
Springer Nature B.V
Schlagworte:
Algorithms
Computational fluid dynamics
Computational mathematics
Computational Mathematics and Numerical Analysis
Computational Science and Engineering
Fluid flow
Mathematical and Computational Biology
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Navier-Stokes equations
Stokes law (fluid mechanics)
Visualization
Multilevel algorithm
Darcy law
Decoupling
65F10
Fluid flow coupled with porous media flow
Interface coupling
65F08
65N55
65N30
Navier-Stokes equations
Linearization
ISSN:1019-7168, 1572-9044
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Zusammenfassung:In this work, several multilevel decoupled algorithms are proposed for a mixed Navier-Stokes/Darcy model. These algorithms are based on either successively or parallelly solving two linear subdomain problems after solving a coupled nonlinear coarse grid problem. Error estimates are given to demonstrate the approximation accuracy of the algorithms. Experiments based on both the first order and the second order discretizations are presented to show the effectiveness of the decoupled algorithms.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1019-7168
1572-9044
DOI:10.1007/s10444-017-9537-9