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Title: A gradient-descent adjoint method for the reconstruction of boundary conditions in a river flow nitrification model

Abstract

One of the reasons for the limited applicability of predictive water quality models is the lack of data from monitoring control stations that are required as input. In this context, the main novelty of the present work is the recovery of information on the state variables present in a water quality model through measured data at a target downstream location. The reconstruction of the upstream boundary condition is the goal of the present work. For this purpose, an adjoint-state method is developed to find the sensitivities of the functional with respect to variations on the upstream boundary conditions of the model. The resolution of both forward and backward problems ensures strong, accurate and reliable solutions in both steady state and unsteady scenarios. Lastly, the different cases demonstrate that the method is able to reconstruct any observed distribution with little computational effort, including the heat balance with all its external inputs.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [1]
  1. Univ. of Zaragoza (Spain)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1606700
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Environmental Science: Processes & Impacts
Additional Journal Information:
Journal Volume: 22; Journal Issue: 2; Journal ID: ISSN 2050-7887
Publisher:
Royal Society of Chemistry
Country of Publication:
United States
Language:
English
Subject:
54 ENVIRONMENTAL SCIENCES

Citation Formats

Gordillo, Geovanny, Morales-Hernández, Mario, and García-Navarro, Pilar. A gradient-descent adjoint method for the reconstruction of boundary conditions in a river flow nitrification model. United States: N. p., 2020. Web. https://doi.org/10.1039/C9EM00500E.
Gordillo, Geovanny, Morales-Hernández, Mario, & García-Navarro, Pilar. A gradient-descent adjoint method for the reconstruction of boundary conditions in a river flow nitrification model. United States. https://doi.org/10.1039/C9EM00500E
Gordillo, Geovanny, Morales-Hernández, Mario, and García-Navarro, Pilar. Wed . "A gradient-descent adjoint method for the reconstruction of boundary conditions in a river flow nitrification model". United States. https://doi.org/10.1039/C9EM00500E. https://www.osti.gov/servlets/purl/1606700.
@article{osti_1606700,
title = {A gradient-descent adjoint method for the reconstruction of boundary conditions in a river flow nitrification model},
author = {Gordillo, Geovanny and Morales-Hernández, Mario and García-Navarro, Pilar},
abstractNote = {One of the reasons for the limited applicability of predictive water quality models is the lack of data from monitoring control stations that are required as input. In this context, the main novelty of the present work is the recovery of information on the state variables present in a water quality model through measured data at a target downstream location. The reconstruction of the upstream boundary condition is the goal of the present work. For this purpose, an adjoint-state method is developed to find the sensitivities of the functional with respect to variations on the upstream boundary conditions of the model. The resolution of both forward and backward problems ensures strong, accurate and reliable solutions in both steady state and unsteady scenarios. Lastly, the different cases demonstrate that the method is able to reconstruct any observed distribution with little computational effort, including the heat balance with all its external inputs.},
doi = {10.1039/C9EM00500E},
journal = {Environmental Science: Processes & Impacts},
number = 2,
volume = 22,
place = {United States},
year = {2020},
month = {1}
}

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