Application of Adjoint Data Assimilation Method to Atmospheric Aerosol Transport Problems

We propose combining the adjoint assimilation method with characteristic finite difference scheme (CFD) to solve the aerosol transport problems, which can predict the distribution of atmospheric aerosols efficiently by using large time steps. Firstly, the characteristic finite difference scheme (CFD...

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Main Authors: Minjie Xu, Kai Fu, Xianqing Lv
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2017/5865403
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spelling doaj-74d686d02d064d2cabdc21db8185af2c2021-07-02T02:56:14ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/58654035865403Application of Adjoint Data Assimilation Method to Atmospheric Aerosol Transport ProblemsMinjie Xu0Kai Fu1Xianqing Lv2Physical Oceanography Laboratory, Ocean University of China, Qingdao 266100, ChinaSchool of Mathematical Science, Ocean University of China, Qingdao 266100, ChinaPhysical Oceanography Laboratory, Ocean University of China, Qingdao 266100, ChinaWe propose combining the adjoint assimilation method with characteristic finite difference scheme (CFD) to solve the aerosol transport problems, which can predict the distribution of atmospheric aerosols efficiently by using large time steps. Firstly, the characteristic finite difference scheme (CFD) is tested to compute the Gaussian hump using large time step sizes and is compared with the first-order upwind scheme (US1) using small time steps; the US1 method gets E2 error of 0.2887 using Δt=1/450, while CFD method gets a much smaller E2 of 0.2280 using a much larger time step Δt=1/45. Then, the initial distribution of PM2.5 concentration is inverted by the adjoint assimilation method with CFD and US1. The adjoint assimilation method with CFD gets better accuracy than adjoint assimilation method with US1 while adjoint assimilation method with CFD costs much less computational time. Further, a real case of PM2.5 concentration distribution in China during the APEC 2014 is simulated by using adjoint assimilation method with CFD. The simulation results are in good agreement with the observed values. The adjoint assimilation method with CFD can solve large scale aerosol transport problem efficiently.http://dx.doi.org/10.1155/2017/5865403
collection DOAJ
language English
format Article
sources DOAJ
author Minjie Xu
Kai Fu
Xianqing Lv
spellingShingle Minjie Xu
Kai Fu
Xianqing Lv
Application of Adjoint Data Assimilation Method to Atmospheric Aerosol Transport Problems
Advances in Mathematical Physics
author_facet Minjie Xu
Kai Fu
Xianqing Lv
author_sort Minjie Xu
title Application of Adjoint Data Assimilation Method to Atmospheric Aerosol Transport Problems
title_short Application of Adjoint Data Assimilation Method to Atmospheric Aerosol Transport Problems
title_full Application of Adjoint Data Assimilation Method to Atmospheric Aerosol Transport Problems
title_fullStr Application of Adjoint Data Assimilation Method to Atmospheric Aerosol Transport Problems
title_full_unstemmed Application of Adjoint Data Assimilation Method to Atmospheric Aerosol Transport Problems
title_sort application of adjoint data assimilation method to atmospheric aerosol transport problems
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2017-01-01
description We propose combining the adjoint assimilation method with characteristic finite difference scheme (CFD) to solve the aerosol transport problems, which can predict the distribution of atmospheric aerosols efficiently by using large time steps. Firstly, the characteristic finite difference scheme (CFD) is tested to compute the Gaussian hump using large time step sizes and is compared with the first-order upwind scheme (US1) using small time steps; the US1 method gets E2 error of 0.2887 using Δt=1/450, while CFD method gets a much smaller E2 of 0.2280 using a much larger time step Δt=1/45. Then, the initial distribution of PM2.5 concentration is inverted by the adjoint assimilation method with CFD and US1. The adjoint assimilation method with CFD gets better accuracy than adjoint assimilation method with US1 while adjoint assimilation method with CFD costs much less computational time. Further, a real case of PM2.5 concentration distribution in China during the APEC 2014 is simulated by using adjoint assimilation method with CFD. The simulation results are in good agreement with the observed values. The adjoint assimilation method with CFD can solve large scale aerosol transport problem efficiently.
url http://dx.doi.org/10.1155/2017/5865403
work_keys_str_mv AT minjiexu applicationofadjointdataassimilationmethodtoatmosphericaerosoltransportproblems
AT kaifu applicationofadjointdataassimilationmethodtoatmosphericaerosoltransportproblems
AT xianqinglv applicationofadjointdataassimilationmethodtoatmosphericaerosoltransportproblems
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