Sensitivity of inverse advection-diffusion-reaction to sensor and control: a low computational cost tool

A two-dimensional (2D) concentration field may be reconstructed using inverse advection–diffusion–reaction based on pointwise sensor outputs. The studied reconstruction process consists in defining fictitious boundaries and identifying the optimal concentrations on these boundaries that minimize the data misfit. The minimization is performed by means of the adjoint method. The reconstruction process is observed to fail for some sets of sensor placements. Therefore, in this paper, we aim to develop a low computational cost framework that can be used to identify badly placed sensors and to reveal potentially optimal sensor placement. From this framework, we have derived a sensitivity tool that can predict, for a given set of sensors, which boundary concentrations are easy or difficult to identify using the inverse method. This tool only requires the resolution of an adjoint problem. It is compared with the 'sensitivity-to-observation' method in a 2D water pipe junction with 2000 Reynolds number and 1000 Peclet number. The compared methods do produce similar quantitative and qualitative results.

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Source ISSN: 0898-1221
Author Waeytens, Julien, Chatellier, Patrice, Bourquin, Frédéric
Maintainer CCSD
Last Updated May 9, 2026, 18:41 (UTC)
Created May 9, 2026, 18:41 (UTC)
Identifier hal-00861204
Language en
contributor Laboratoire Instrumentation, Simulation et Informatique Scientifique (IFSTTAR/COSYS/LISIS) ; Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR)-Communauté Université Paris-Est
creator Waeytens, Julien
date 2013-01-01T00:00:00
harvest_object_id d9fe7b44-b4ee-41a9-b286-1aba9984ef70
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-10-07T00:00:00
relation info:eu-repo/semantics/altIdentifier/doi/10.1016/j.camwa.2013.07.009
set_spec type:ART