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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Format: | Article |
Language: | English |
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Wiley
2018-01-01
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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. |
format | Article |
id | doaj-art-0ce725e5cbd245eead82b5a769470819 |
institution | Kabale University |
issn | 1687-9120 1687-9139 |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
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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