A Technique with a Correction Term for Unsteady State Heat Transfer Problem with Moving Boundary

Author:

Niu R. P.1,Liu G. R.23,Li M.1

Affiliation:

1. College of Mathematics, Taiyuan University of Technology, Tai Yuan, Shanxi, 030024, P. R. China

2. Taiyuan University of Technology, Tai Yuan, Shanxi, 030024, P. R. China

3. School of Aerospace Systems, University of Cincinnati, 2851 Woodside Dr, Cincinnati OH 45221, USA

Abstract

The paper proposes a general formulation for simulating unsteady state heat transfer problem with moving boundaries. The method is equipped with a correction term based on the finite element method. In dealing with the unsteady behavior, forward time marching is performed using the finite difference method. We introduce a correction term to effectively deal with the moving boundary effects, which directly uses the nodal temperature at the previous step in the time marching process. A mathematical study has been conducted to examine the theoretical basis. Finally, intensive numerical experiments are conducted to demonstrate effectiveness and stability of the proposed procedure.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Shape Reconstruction of Conductivity Interface Problems;International Journal of Computational Methods;2018-11-21

2. Moving boundary analysis in heat conduction with multilayer composites by finite block method;Engineering Analysis with Boundary Elements;2018-04

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