Some multilevel decoupled algorithms for a mixed navier-stokes/darcy model
Autor: | Mingchao Cai, Peiqi Huang, Mo Mu |
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Rok vydání: | 2017 |
Předmět: |
Darcy model
Darcy's law Applied Mathematics Numerical Analysis (math.NA) 010103 numerical & computational mathematics Grid 01 natural sciences Visualization 010101 applied mathematics Computational Mathematics Nonlinear system Linearization FOS: Mathematics Mathematics - Numerical Analysis Navier stokes 0101 mathematics Navier–Stokes equations Algorithm Mathematics |
Zdroj: | Advances in Computational Mathematics. 44:115-145 |
ISSN: | 1572-9044 1019-7168 |
DOI: | 10.1007/s10444-017-9537-9 |
Popis: | 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. Comment: The work has been submitted to Adv. Comput. Math. on Nov. 28th, 2016. ACOM-D-16-00288 |
Databáze: | OpenAIRE |
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