A new inverse analysis method based on a relaxation factor optimization technique for solving transient nonlinear inverse heat conduction problems

Cui, Miao; Duan, Weiwei; Gao, Xiao‐Wei

doi:10.1016/j.ijheatmasstransfer.2015.07.009

Cited by 53 publications

(6 citation statements)

References 29 publications

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“…It is worth noting that the SST model of the thermal mass transport model uses a yield limiter to prevent the formation of turbulence in the stagnation zone, which is one of the most important parts of the SST model 18 . And each of the constants (including , , , ,etc.)…”

Section: Methodsmentioning

confidence: 99%

Comparative study on numerical simulation of temperature field of farm house with different roof forms

Pan,

Zhao,

Wang

2024

Sci Rep

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In recent years, the issue of energy consumption in farm buildings has received much attention. The roofs of farm buildings in Northwest China have a variety of roof forms. This paper presents the implementation of first fully confirmed the indoor thermal environment of different roof construction was significantly effected by periodic thermogenesis. In order to determine the indoor temperature distribution of the farmhouse in summer in Ningxia Hui Autonomous Region, we provided the heat transfer coefficient data of the farmhouse envelope, also detailed in the manuscript. Model of Thermal Mass Transport enables fast and accurately simulates the indoor temperature distribution of farmhouses with different roof forms on the same day, taking into account the climate zone of the region. This is despite the phase delay time of indoor temperatures for different roof forms caused by periodic initial temperature boundaries ranged from 1.55 to 2.78$$\text{h}$$ h , and the phase delay angle ranged from 23.25$$^{\circ }$$ ∘ to 41.7$$^{\circ }$$ ∘ . Extensive simulated results revealed individual variability in the role of roof form, demonstrating indoor temperatures in farmhouses corresponding to different climatic zones. In addition, by analyzing and discussing the indoor temperature phase delay angle and delay time for each type of roof forms, statistical results identified the advantages of Non-equal-sloped roof as a local farmhouse roof.

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Section: Methodsmentioning

confidence: 99%

Comparative study on numerical simulation of temperature field of farm house with different roof forms

Pan,

Zhao,

Wang

2024

Sci Rep

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“…The CVDM is a very promising method, since the derivatives only require direct evaluations [21]. The CVDM has been validated to be an efficient and accurate approach for determination of derivatives [22][23][24].…”

Section: The Complex-variable-differentiation Methods (Cvdm)mentioning

confidence: 99%

High Order Projection Plane Method for Evaluation of Supersingular Curved Boundary Integrals in BEM

Cui

Feng

Gao

et al. 2016

Mathematical Problems in Engineering

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Boundary element method (BEM) is a very promising approach for solving various engineering problems, in which accurate evaluation of boundary integrals is required. In the present work, the direct method for evaluating singular curved boundary integrals is developed by considering the third-order derivatives in the projection plane method when expanding the geometry quantities at the field point as Taylor series. New analytical formulas are derived for geometry quantities defined on the curved line/plane, and unified expressions are obtained for both two-dimensional and three-dimensional problems. For the two-dimensional boundary integrals, analytical expressions for the third-order derivatives are derived and are employed to verify the complex-variable-differentiation method (CVDM) which is used to evaluate the high order derivatives for three-dimensional problems. A few numerical examples are given to show the effectiveness and the accuracy of the present method.

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“…Huang [21] utilized a steepest descent method (SDM) to identify the transient heat flux in a motor. Cui [22] applied the Levenberg-Marquard method to inverse the boundary heat flux in a two-dimensional transient heat conduction process, achieving commendable results. The whole-domain algorithms are incapable of performing real-time inversion due to the requirement for measurement information from the entire time domain and numerous forward iterations to approximate values of unknown parameters.…”

Section: Introductionmentioning

confidence: 99%

A Neural Network-Based Method for Real-Time Inversion of Nonlinear Heat Transfer Problems

Chen,

Pan

2023

Energies

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Inverse heat transfer problems are important in numerous scientific research and engineering applications. This paper proposes a network-based method utilizing the nonlinear autoregressive with exogenous inputs (NARX) neural network, which can achieve real-time identification of thermal boundary conditions for nonlinear transient heat transfer processes. With the introduction of the NARX neural network, the proposed method offers two key advantages: (1) The proposed method can obtain inversion results using only surface temperature time series. (2) The heat flux can be estimated even when the state equation of the system is unknown. The NARX neural network is trained using the Bayesian regularization algorithm with a dataset comprising exact surface temperature and heat flux data. The neural network takes current and historical surface temperature measurements as inputs to calculate the heat flux at the current time. The capability of the NARX method has been verified through numerical simulation experiments. Experimental results demonstrate that the NARX method has high precision, strong noise resistance, and broad applicability. The composition of the input data, the surface temperature measurement noise, and the boundary heat flux shape have been studied in detail for their impact on the inversion results. The NARX method is a highly competitive solution to inverse heat transfer problems.

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A new inverse analysis method based on a relaxation factor optimization technique for solving transient nonlinear inverse heat conduction problems

Cited by 53 publications

References 29 publications

Comparative study on numerical simulation of temperature field of farm house with different roof forms

Comparative study on numerical simulation of temperature field of farm house with different roof forms

High Order Projection Plane Method for Evaluation of Supersingular Curved Boundary Integrals in BEM

A Neural Network-Based Method for Real-Time Inversion of Nonlinear Heat Transfer Problems

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