The Inverse Problem of Identification of Hydrogen Permeability Model

One of the technological challenges for hydrogen materials science is the currently active search for structural materials with important applications (including the ITER project and gas-separation plants). One had to estimate the parameters of diffusion and sorption to numerically model the differe...

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Published in:Advances in mathematical physics 2018-01, Vol.2018 (2018), p.1-19
Main Authors: Zaika, Yury V., Kostikova, Ekaterina K., Rodchenkova, Natalia I.
Format: Article
Language:English
Subjects:
Boundary value problems
Computer simulation
Desorption
Differential equations
Diffusion
Energy industry
Experiments
Hydrogen
Identification
Inverse problems
Materials science
Mathematical models
Methods
Nonlinear systems
Numerical methods
Parameter estimation
Permeability
Physics
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creator Zaika, Yury V.
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description One of the technological challenges for hydrogen materials science is the currently active search for structural materials with important applications (including the ITER project and gas-separation plants). One had to estimate the parameters of diffusion and sorption to numerically model the different scenarios and experimental conditions of the material usage (including extreme ones). The article presents boundary value problems of hydrogen permeability and thermal desorption with dynamical boundary conditions. A numerical method is developed for TDS spectrum simulation, where only integration of a nonlinear system of low order ordinary differential equations is required. The main final output of the article is a noise-resistant algorithm for solving the inverse problem of parametric identification for the aggregated experiment where desorption and diffusion are dynamically interrelated (without the artificial division of studies into the diffusion limited regime (DLR) and the surface limited regime (SLR)).
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source Wiley Online Library; Publicly Available Content Database
subjects Boundary value problems
Computer simulation
Desorption
Differential equations
Diffusion
Energy industry
Experiments
Hydrogen
Identification
Inverse problems
Materials science
Mathematical models
Methods
Nonlinear systems
Numerical methods
Parameter estimation
Permeability
Physics
title The Inverse Problem of Identification of Hydrogen Permeability Model
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