On a least-squares finite element method for advective transport in air pollution modeling

Laura L. Burrell; Li Q. Tang; Tate T.H. Tsang

doi:10.1016/1352-2310(95)00054-3

On a least-squares finite element method for advective transport in air pollution modeling

Laura L. Burrell, Li Q. Tang, Tate T.H. Tsang

Chemical and Materials Engineering

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

7 Scopus citations

Abstract

A least-squares finite element method (LSFEM) is used for the numerical solution of the advective transport of pollutants. Unlike many finite element methods, LSFEM does not involve any tuning parameter or intrinsic time function. Furthermore, LSFEM leads to a symmetric, positive-definite linear system of equations. The standard rotating cone problem and a rotating puff in a parabolic angular velocity flow field are used to test the least-squares finite element method. The results demonstrate that the least-squares finite element method is a promising approach for the advective transport of pollutants.

Original language	English
Pages (from-to)	1425-1439
Number of pages	15
Journal	Atmospheric Environment
Volume	29
Issue number	12
DOIs	https://doi.org/10.1016/1352-2310(95)00054-3
State	Published - Jun 1995

Bibliographical note

Funding Information:
Acknowledgements--This work was partially supported by the National Science Foundation (Grant No. ASC-8811171; NSF/KY EPSCoR program). L. Burrell was supported by fellowships from the U.S. Department of Education and the National Science Foundation.

Keywords

Least-squares finite element method
advective transport
air pollution modeling
filtering procedures

ASJC Scopus subject areas

General Environmental Science
Atmospheric Science

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10.1016/1352-2310(95)00054-3

Cite this

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title = "On a least-squares finite element method for advective transport in air pollution modeling",

abstract = "A least-squares finite element method (LSFEM) is used for the numerical solution of the advective transport of pollutants. Unlike many finite element methods, LSFEM does not involve any tuning parameter or intrinsic time function. Furthermore, LSFEM leads to a symmetric, positive-definite linear system of equations. The standard rotating cone problem and a rotating puff in a parabolic angular velocity flow field are used to test the least-squares finite element method. The results demonstrate that the least-squares finite element method is a promising approach for the advective transport of pollutants.",

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AU - Tang, Li Q.

AU - Tsang, Tate T.H.

N1 - Funding Information: Acknowledgements--This work was partially supported by the National Science Foundation (Grant No. ASC-8811171; NSF/KY EPSCoR program). L. Burrell was supported by fellowships from the U.S. Department of Education and the National Science Foundation.

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N2 - A least-squares finite element method (LSFEM) is used for the numerical solution of the advective transport of pollutants. Unlike many finite element methods, LSFEM does not involve any tuning parameter or intrinsic time function. Furthermore, LSFEM leads to a symmetric, positive-definite linear system of equations. The standard rotating cone problem and a rotating puff in a parabolic angular velocity flow field are used to test the least-squares finite element method. The results demonstrate that the least-squares finite element method is a promising approach for the advective transport of pollutants.

AB - A least-squares finite element method (LSFEM) is used for the numerical solution of the advective transport of pollutants. Unlike many finite element methods, LSFEM does not involve any tuning parameter or intrinsic time function. Furthermore, LSFEM leads to a symmetric, positive-definite linear system of equations. The standard rotating cone problem and a rotating puff in a parabolic angular velocity flow field are used to test the least-squares finite element method. The results demonstrate that the least-squares finite element method is a promising approach for the advective transport of pollutants.

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KW - filtering procedures

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On a least-squares finite element method for advective transport in air pollution modeling

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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