A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow

Mo Mu; Jinchao Xu

doi:10.1137/050637820

A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow

Mo Mu, Jinchao Xu

Research output: Contribution to journal › Article › peer-review

260 Scopus citations

Abstract

We study numerical methods for solving a coupled Stokes-Darcy problem in porous media flow applications. A two-grid method is proposed for decoupling the mixed model by a coarse grid approximation to the interface coupling conditions. Error estimates are derived for the proposed method. Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the two-grid approach for solving multimodeling problems. Potential extensions and future directions are discussed.

Original language	English (US)
Pages (from-to)	1801-1813
Number of pages	13
Journal	SIAM Journal on Numerical Analysis
Volume	45
Issue number	5
DOIs	https://doi.org/10.1137/050637820
State	Published - 2007

All Science Journal Classification (ASJC) codes

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1137/050637820

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abstract = "We study numerical methods for solving a coupled Stokes-Darcy problem in porous media flow applications. A two-grid method is proposed for decoupling the mixed model by a coarse grid approximation to the interface coupling conditions. Error estimates are derived for the proposed method. Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the two-grid approach for solving multimodeling problems. Potential extensions and future directions are discussed.",

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AB - We study numerical methods for solving a coupled Stokes-Darcy problem in porous media flow applications. A two-grid method is proposed for decoupling the mixed model by a coarse grid approximation to the interface coupling conditions. Error estimates are derived for the proposed method. Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the two-grid approach for solving multimodeling problems. Potential extensions and future directions are discussed.

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A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow

Abstract

All Science Journal Classification (ASJC) codes

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