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Solution of inverse heat conduction problem using the Tikhonov regularization method
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In this article, the Tikhonov regularization is applied to stabilize the solution of the inverse heat conduction problem and the impact on the inverse solution stability and accuracy is demonstrated.Abstract:
It is hard to solve ill-posed problems, as calculated temperatures are very sensitive to errors made while calculating “measured” temperatures or performing real-time measurements. The errors can create temperature oscillation, which can be the cause of an unstable solution. In order to overcome such difficulties, a variety of techniques have been proposed in literature, including regularization, future time steps and smoothing digital filters. In this paper, the Tikhonov regularization is applied to stabilize the solution of the inverse heat conduction problem. The impact on the inverse solution stability and accuracy is demonstrated.read more
Citations
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Journal ArticleDOI
Inverting methods for thermal reservoir evaluation of enhanced geothermal system
TL;DR: In this paper, the authors proposed a novel fuzzy inversion model for reservoir evaluation, including three main strategies of heat transfer direct problem modeling, inverse problem modeling and experimental validation, is built in terms of thermal physical parameters of reservoir.
Journal ArticleDOI
Review of Computational Schemes in Inverse Heat Conduction Problems
TL;DR: A review of the current computational methods and applications of inverse heat conduction problems (IHCPs) in different fields is presented in this paper, where two major so-called major problems are discussed.
Journal ArticleDOI
A novel non-iterative method for estimating boundary conditions and geometry of furnace inner wall made of FGMs
TL;DR: A non-iterative inverse method based on the precise integration finite element method (PIFEM) is established for estimating the transient boundary conditions and the geometry of furnace inner wall made of functional gradient materials as mentioned in this paper.
Journal ArticleDOI
Solution of an inverse transient heat conduction problem in a part of a complex domain
Piotr Duda,Mariusz Konieczny +1 more
TL;DR: Two simple methods which can be used to solve nonlinear inverse heat conduction problems in a part of a complex-shaped component in the on-line mode are formulated and can be applied in monitoring systems working both in conventional and nuclear power plants.
Journal ArticleDOI
A new algorithm for solving an inverse transient heat conduction problem by dividing a complex domain into parts
Piotr Duda,Mariusz Konieczny +1 more
TL;DR: A new algorithm for solving an inverse transient heat conduction problem in any extended complex domain and can be used to optimize the power unit start-up and shutdown operation and enable a reduction in the heat loss arising during the process and extend the power units life.
References
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Book
Solving Direct and Inverse Heat Conduction Problems
Jan Taler,Piotr Duda +1 more
TL;DR: In this article, the reduction of Transient Heat Conduction Equations and Boundary Conditions and Substituting Heat-Conduction Equation by Two-Equations System are discussed.
Book
Differential Equations with Boundary-Value Problems
Dennis G. Zill,Michael R. Cullen +1 more
TL;DR: This edition of the expanded version of Zill's "A First Course in Differential Equations with Modeling Applications", places greater emphasis on modelling and the use of technology in problem solving and features more everyday applications as mentioned in this paper.
Journal ArticleDOI
A general method for solving transient multidimensional inverse heat transfer problems
TL;DR: A simple method which can be used for the solution of an inverse transient heat flow problem and contributes to the reduction of heat loss during these operations and the extension of the power block’s life span is formulated.
Journal ArticleDOI
Simple measurement of thermal diffusivity and thermal conductivity using inverse solution for one-dimensional heat conduction
TL;DR: In this article, a new method is proposed for measuring thermal diffusivity and thermal conductivity simultaneously using the inverse solution for one-dimensional unsteady heat conduction, which does not require the temperature measurement for a long time duration after the temperature starts changing at a sensor position.
Journal ArticleDOI
Estimation of unknown heat source function in inverse heat conduction problems using quantum-behaved particle swarm optimization
TL;DR: In this article, a stochastic method known as quantum-behaved particle swarm optimization (QPSO) is used to estimate the heat source without a priori information on its functional form, which is classified as the function estimation by inverse calculation.
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