A meshless method based on the method of fundamental solution for three-dimensional inverse heat conduction problems

被引：21

作者：

Sun, Yao ^{[1
]}

He, Songnian ^{[2
]}

机构：

[1] Civil Aviat Univ China, Coll Sci, Tianjin Key Lab Adv Signal Proc, Tianjin 300300, Peoples R China

[2] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2017年 / 108卷

关键词：

Inverse heat conduction problem; Regularization; Morozov discrepancy principle; SINGULAR BOUNDARY METHOD; POTENTIAL PROBLEMS; LAPLACE EQUATION; CAUCHY-PROBLEM; DEGENERATE SCALE; NUMERICAL EXPERIMENTS; ELLIPTIC-OPERATORS; STATIONARY FLOW; L-CURVE; MFS;

D O I：

10.1016/j.ijheatmasstransfer.2016.12.079

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This paper documents a meshless method for the three-dimensional inverse heat conduction problems based on the method of fundamental solution (MFS). In order to overcome the ill-posedness of the corresponding problem, the Tikhonov regularization method, as well as Morozov's discrepancy principle for selecting an appropriate regularization parameter are used. Hence there is to produce a stable and accuracy numerical results. Then some examples are given to check the effectiveness of this method, whilst the sensitive analysis is given. The numerical convergence and stability of this method are also analyzed. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：945 / 960

页数：16

共 50 条

[31] The method of fundamental solutions for three-dimensional elastostatics problems
Poullikkas, A
Karageorghis, A
Georgiou, G
[J]. COMPUTERS & STRUCTURES, 2002, 80 (3-4) : 365 - 370
[32] Two-dimensional Inverse Heat Conduction Problem Using a Meshless Manifold Method
Wei, G. F.
Gao, H. F.
[J]. INTERNATIONAL CONFERENCE ON SOLID STATE DEVICES AND MATERIALS SCIENCE, 2012, 25 : 421 - 426
[33] A meshless collocation scheme for inverse heat conduction problem in three-dimensional functionally graded materials
Hu, Wen
Gu, Yan
Fan, Chia-Ming
[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2020, 114 : 1 - 7
[34] A NUMERICAL-METHOD FOR THE SOLUTION OF 2-DIMENSIONAL INVERSE HEAT-CONDUCTION PROBLEMS
REINHARDT, HJ
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1991, 32 (02) : 363 - 383
[35] A meshless computational method for solving inverse heat conduction problem
Hon, YC
Wei, T
[J]. BOUNDARY ELEMENTS XXIV: INCORPORATING MESHLESS SOLUTIONS, 2002, 13 : 135 - 144
[36] A three-dimensional inverse heat conduction problem in estimating surface heat flux by conjugate gradient method
Huang, CH
Wang, SP
[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1999, 42 (18) : 3387 - 3403
[37] A three-dimensional inverse heat conduction problem in estimating surface heat flux by conjugate gradient method
Dept. of Nav. Arch. and Mar. Eng., National Cheng Kung University, 701, Tainan, Taiwan
[J]. Int. J. Heat Mass Transf, 18 (3387-3403):
[38] The Method of Fundamental Solutions for Two- and Three-Dimensional Transient Heat Conduction Problems Involving Point and Curved Line Heat Sources
Mohammadi, Mehrdad
[J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY-TRANSACTIONS OF MECHANICAL ENGINEERING, 2021, 45 (04) : 993 - 1005
[39] The Method of Fundamental Solutions for Two- and Three-Dimensional Transient Heat Conduction Problems Involving Point and Curved Line Heat Sources
Mehrdad Mohammadi
[J]. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 2021, 45 : 993 - 1005
[40] Determination of the convective heat transfer coefficient in three-dimensional inverse heat conduction problems
Zhang, J.
Delichatsios, M. A.
[J]. FIRE SAFETY JOURNAL, 2009, 44 (05) : 681 - 690

← 1 2 3 4 5 →