A Study of the Transport of Marine Pollutants Using Adjoint Method of Data Assimilation with Method of Characteristics

An adjoint method of data assimilation with the characteristic finite difference (CFD) scheme is applied to marine pollutant transport problems and the temporal and spatial distribution of marine pollutants are simulated. Numerical tests of two-dimensional problems of pollutant transport with two di...

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Main Authors: Xiaona Li, Minjie Xu, Xianqing Lv, Kai Fu
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/7408263
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author Xiaona Li
Minjie Xu
Xianqing Lv
Kai Fu
author_facet Xiaona Li
Minjie Xu
Xianqing Lv
Kai Fu
author_sort Xiaona Li
collection DOAJ
description An adjoint method of data assimilation with the characteristic finite difference (CFD) scheme is applied to marine pollutant transport problems and the temporal and spatial distribution of marine pollutants are simulated. Numerical tests of two-dimensional problems of pollutant transport with two different schemes indicate that the error of CFD is smaller than that of central difference scheme (CDS). Then the inversion experiments of the initial field and the source and sink terms of pollutants are carried out. Applying CFD in the adjoint method of data assimilation cannot only reduce simulation error to get a good inversion but can also enable larger time step size to decrease computation time and improve the calculation efficiency.
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institution Kabale University
issn 1687-9120
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language English
publishDate 2018-01-01
publisher Wiley
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series Advances in Mathematical Physics
spelling doaj-art-0ce725e5cbd245eead82b5a7694708192025-02-03T05:47:54ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/74082637408263A Study of the Transport of Marine Pollutants Using Adjoint Method of Data Assimilation with Method of CharacteristicsXiaona Li0Minjie Xu1Xianqing Lv2Kai Fu3Physical Oceanography Laboratory, Ocean University of China, Qingdao 266100, ChinaPhysical Oceanography Laboratory, Ocean University of China, Qingdao 266100, ChinaPhysical Oceanography Laboratory, Ocean University of China, Qingdao 266100, ChinaSchool of Mathematical Sciences, Ocean University of China, Qingdao 266100, ChinaAn adjoint method of data assimilation with the characteristic finite difference (CFD) scheme is applied to marine pollutant transport problems and the temporal and spatial distribution of marine pollutants are simulated. Numerical tests of two-dimensional problems of pollutant transport with two different schemes indicate that the error of CFD is smaller than that of central difference scheme (CDS). Then the inversion experiments of the initial field and the source and sink terms of pollutants are carried out. Applying CFD in the adjoint method of data assimilation cannot only reduce simulation error to get a good inversion but can also enable larger time step size to decrease computation time and improve the calculation efficiency.http://dx.doi.org/10.1155/2018/7408263
spellingShingle Xiaona Li
Minjie Xu
Xianqing Lv
Kai Fu
A Study of the Transport of Marine Pollutants Using Adjoint Method of Data Assimilation with Method of Characteristics
Advances in Mathematical Physics
title A Study of the Transport of Marine Pollutants Using Adjoint Method of Data Assimilation with Method of Characteristics
title_full A Study of the Transport of Marine Pollutants Using Adjoint Method of Data Assimilation with Method of Characteristics
title_fullStr A Study of the Transport of Marine Pollutants Using Adjoint Method of Data Assimilation with Method of Characteristics
title_full_unstemmed A Study of the Transport of Marine Pollutants Using Adjoint Method of Data Assimilation with Method of Characteristics
title_short A Study of the Transport of Marine Pollutants Using Adjoint Method of Data Assimilation with Method of Characteristics
title_sort study of the transport of marine pollutants using adjoint method of data assimilation with method of characteristics
url http://dx.doi.org/10.1155/2018/7408263
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