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首页> 外文期刊>International Journal of Heat and Mass Transfer >Fast transient thermal analysis of Fourier and non-Fourier heat conduction
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Fast transient thermal analysis of Fourier and non-Fourier heat conduction

机译：傅里叶和非傅里叶热传导的快速瞬态热分析

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摘要

In this paper, asymptotic waveform evaluation (AWE) has been successfully used for fast transient characterization of Fourier and non-Fourier heat conduction. The Fourier and non-Fourier equations are reduced to a system of linear differential equations, respectively, using finite element method and then solved with AWE. Besides providing equivalent accuracy in its solution, it is also shown that AWE is at least three orders faster in term of computational time as compared to conventional iterative solvers. Its accuracy is also independent of the time step used and it has the capability of providing local transient solution. However, the moment matching process in AWE is inherently ill-conditioned and thus may yield unstable response even for stable system. This numerical instability is addressed and two stability schemes are also successfully implemented to yield stable and accurate solutions from AWE. The limitation of AWE is also discussed.
机译：在本文中，渐近波形评估（AWE）已成功用于傅里叶和非傅里叶热传导的快速瞬态表征。使用有限元方法将傅立叶方程和非傅立叶方程分别简化为线性微分方程组，然后使用AWE求解。除了在其解决方案中提供同等的准确性外，还显示出与传统的迭代求解器相比，AWE在计算时间方面至少快了三个数量级。它的精度也与所使用的时间步长无关，并且具有提供局部瞬态解决方案的能力。但是，AWE中的力矩匹配过程本质上是病态的，因此即使对于稳定的系统也可能产生不稳定的响应。解决了这种数值不稳定性，并成功实施了两个稳定性方案，以从AWE获得稳定和准确的解决方案。还讨论了AWE的局限性。

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