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Advances in Mathematical Physics
Volume 2018, Article ID 7408263, 14 pages
https://doi.org/10.1155/2018/7408263
Research Article

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

1Physical Oceanography Laboratory, Ocean University of China, Qingdao 266100, China
2School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China

Correspondence should be addressed to Kai Fu; nc.ude.cuo@ufk

Received 2 February 2018; Accepted 9 July 2018; Published 2 August 2018

Academic Editor: Xin Yu

Copyright © 2018 Xiaona Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.