Numerical solution to a mixed Navier-Stokes/Darcy model by the two-grid approach

Mingchao Cai; Mo Mu; Jinchao Xu

doi:10.1137/080721868

Numerical solution to a mixed Navier-Stokes/Darcy model by the two-grid approach

Mingchao Cai, Mo Mu, Jinchao Xu

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Abstract

We study numerical methods for a coupled Navier-Stokes/Darcy model which describes a .uid .ow .ltrating through porous media. A decoupled and linearized two-grid algorithm is proposed. Numerical analysis and experiments are presented to show the e.ciency and e.ectiveness of the decoupled and linearized algorithm.

Original language	English (US)
Pages (from-to)	3325-3338
Number of pages	14
Journal	SIAM Journal on Numerical Analysis
Volume	47
Issue number	5
DOIs	https://doi.org/10.1137/080721868
State	Published - 2009

All Science Journal Classification (ASJC) codes

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1137/080721868

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title = "Numerical solution to a mixed Navier-Stokes/Darcy model by the two-grid approach",

abstract = "We study numerical methods for a coupled Navier-Stokes/Darcy model which describes a .uid .ow .ltrating through porous media. A decoupled and linearized two-grid algorithm is proposed. Numerical analysis and experiments are presented to show the e.ciency and e.ectiveness of the decoupled and linearized algorithm.",

author = "Mingchao Cai and Mo Mu and Jinchao Xu",

year = "2009",

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AU - Mu, Mo

AU - Xu, Jinchao

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N2 - We study numerical methods for a coupled Navier-Stokes/Darcy model which describes a .uid .ow .ltrating through porous media. A decoupled and linearized two-grid algorithm is proposed. Numerical analysis and experiments are presented to show the e.ciency and e.ectiveness of the decoupled and linearized algorithm.

AB - We study numerical methods for a coupled Navier-Stokes/Darcy model which describes a .uid .ow .ltrating through porous media. A decoupled and linearized two-grid algorithm is proposed. Numerical analysis and experiments are presented to show the e.ciency and e.ectiveness of the decoupled and linearized algorithm.

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Numerical solution to a mixed Navier-Stokes/Darcy model by the two-grid approach

Abstract

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