An adaptive algorithm of precise integration for transient analysis
An adaptive algorithm of precise integration for transient analysis
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DOI：
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发表时间：
2001
影响因子：
2.2
通讯作者：
Hongwu W. Zhang;Biaosong Chen;Yuanxian Gu
中科院分区：
文献类型：
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作者：
Hongwu W. Zhang;Biaosong Chen;Yuanxian Gu
本文提出了一种改进的精细积分算法，用于热传导等问题的暂态分析。通过反精度分析对原精细积分法进行了改进，使原算法本身不考虑原方法中存在的问题，而将参数N作为一个常量和独立参数自动生成。因此，改进的算法是自适应的，并且算法的精度不依赖于积分过程中的时间步长。结果表明，与传统的时间积分方法(如差分法等)相比，该方法得到的数值结果更为准确。给出了四个算例，验证了该方法的有效性、准确性和高效性。
This paper presents an improved precise integration algorithm for transient analysis of heat transfer and some other problems. The original precise integration method is improved by means of the inverse accuracy analysis so that the parameter N, which has been taken as a constant and an independent parameter without consideration of the problems in the original method, can be generated automatically by the algorithm itself. Thus, the improved algorithm is adaptive and the accuracy of the algorithm is not dependent on the length of the time step in the integration process. It is shown that the numerical results obtained by the method proposed are more accurate than those obtained by the conventional time integration methods such as the difference method and others. Four examples are given to demonstrate the validity, accuracy and efficiency of the new method.