Application of the meshless generalized finite difference method to inverse heat source problems

•Extending the GFDM to solve the fourth-order partial differential equations.•Making the first attempt to apply the GFDM to inverse heat source problems.•Promising results retrieved for heat sources were obtained with 2% noise data. The generalized finite difference method (GFDM) is a relatively new...

Celý popis

Uložené v:

Podrobná bibliografia
Vydané v:	International journal of heat and mass transfer Ročník 108; s. 721 - 729
Hlavní autori:	Gu, Yan, Wang, Lei, Chen, Wen, Zhang, Chuanzeng, He, Xiaoqiao
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Ltd 01.05.2017
Predmet:	Generalized finite difference method Inverse heat source problem Meshless method Steady-state heat conduction Steady-state heat conduction Generalized finite difference method Inverse heat source problem Meshless method
ISSN:	0017-9310, 1879-2189
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Popis
Shrnutí:	•Extending the GFDM to solve the fourth-order partial differential equations.•Making the first attempt to apply the GFDM to inverse heat source problems.•Promising results retrieved for heat sources were obtained with 2% noise data. The generalized finite difference method (GFDM) is a relatively new domain-type meshless method for the numerical solution of certain boundary value problems. This paper documents the first attempt to apply the method for recovering the heat source in steady-state heat conduction problems. In order to guarantee the uniqueness of the solution, the heat source here is assumed to satisfy a second-order partial differential equation, and thereby transforming the problem into a fourth-order partial differential equation, which can be solved conveniently and stably by using the GFDM. Numerical analysis are presented on three benchmark test problems with both smooth and piecewise smooth geometries. The stability and sensitivity of the scheme with respect to the amount of noise added into the input data are analyzed. The numerical results obtained show that the proposed algorithm is accurate, computationally efficient and numerically stable for the numerical solution of inverse heat source problems.
ISSN:	0017-9310 1879-2189
DOI:	10.1016/j.ijheatmasstransfer.2016.12.084