Estimation of ground thermal diffusivity using the conjugate gradient method with adjoint problem formulation
Karashbayeva Z. Berger J. Orlande H.R.B. Rysbaiuly B.
November 2023Elsevier B.V.
Urban Climate
2023#52
In the context of better evaluating the energy balance between the ground surface and the urban thermal environment, the ground diffusivity is a crucial parameter. The aim of this paper is to indirectly measure this property of an heterogeneous ground by solving an inverse problem. The conjugate gradient method with adjoint problem formulation was applied to solve the inverse problem with temperature measurements taken at different depths obtained in an experiment reported in the literature. Results show that the inverse problem solution was stable and effective. Estimated values of thermal diffusivity obtained in this works were in accordance with literature values. The reliability of the mathematical model with the estimated thermal diffusivity values was addressed with measurements different from those used for the inverse analysis.
Conjugate gradient method , Heat equation , Inverse heat conduction problem , Thermal diffusivity , Urban ground
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Laboratoire des Sciences de lIngénieur pour lEnvironnement (LaSIE), UMR 7356 CNRS, La Rochelle Université, CNRS, La Rochelle, 17000, France
Astana IT University, Astana, Kazakhstan
POLI/COPPE, Mechanical Engineering Department, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
International Information Technology University, Manas Str. 34/1, Almaty, Kazakhstan
Laboratoire des Sciences de lIngénieur pour lEnvironnement (LaSIE)
Astana IT University
POLI/COPPE
International Information Technology University
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