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A spatial–temporal GFDM with an additional condition for transient heat conduction analysis of FGMs
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-06-11 , DOI: 10.1016/j.aml.2020.106579
Wenzhen Qu , Hua He

In this paper, a spatial–temporal generalized finite difference method (GFDM) with an additional condition is proposed for two-dimensional (2D) transient heat conduction analysis of functionally graded materials (FGMs). The 2D time dependent problem is explored as the three-dimensional (3D) stationary problem by treating the temporal direction as the third dimension. Based on the time-marching procedure with the GFDM, an additional condition is introduced to ensure well-posedness of the 3D stationary problem. Numerical experiment is presented to illustrate the performance of the developed method, and a comparison of numerical precision is made between the present approach and the conventional GFDM.



中文翻译:

时空GFDM,为FGM的瞬态热传导分析提供附加条件

本文针对功能梯度材料(FGM)的二维(2D)瞬态热传导分析,提出了带有附加条件的时空广义有限差分法(GFDM)。通过将时间方向视为第三维,将2D时间相关问题视为三维(3D)平稳问题。基于GFDM的时间前进过程,引入了附加条件以确保3D平稳问题的适定性。数值实验表明了该方法的性能,并对本方法与传统的GFDM方法进行了数值精度的比较。

更新日期:2020-06-11
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