期刊
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
卷 108, 期 -, 页码 721-729出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijheatmasstransfer.2016.12.084
关键词
Generalized finite difference method; Meshless method; Inverse heat source problem; Steady-state heat conduction
资金
- National Natural Science Foundation of China [11402075, 11302069, 71571108, 71171120]
- Projects of International (Regional) Cooperation and Exchanges of NSFC [71411130215]
- China Postdoctoral Science Foundation [2015M570572, 2015M570569, 2016T90608]
- Qingdao Postdoctoral Application Research Project [2015138, 15-9-1-49-jch]
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. (C) 2016 Elsevier Ltd. All rights reserved.
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