A new algorithm for evaluating computing efficiency of ATAM

LI Qi1, LI Bin1,2, MENG Xiaojun1, TANG Xiaowei2

Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (7) : 62-67.

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PDF(2672 KB)
Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (7) : 62-67.

A new algorithm for evaluating computing efficiency of ATAM

  • LI Qi1, LI Bin1,2, MENG Xiaojun1, TANG Xiaowei2
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Abstract

The method of time step automatic adjustment proposed in “The time step automatic adjustment method with synchronous change of load” is a beneficial attempt in the field of prior error evaluation, it is called the apriori time adaptive method (ATAM). In process of using ATAM, it is generally difficult to obtain analytical solutions. Therefore, it is impossible to evaluate the improvement degree of calculation efficiency after applying ATAM in numerical computing programs. Here, a method to solve this problem was proposed and verified. Then, a simplified evaluation algorithm was further proposed, and a calculation formula to estimate the improvement degree of computing efficiency was deduced. It was shown that according to this calculation formula, the minimum time step is not needed to be substituted into the original numerical program for improving the computing efficiency; using the new evaluation algorithm can directly improve the computing efficiency and save a lot of computing costs; the practicability and effectiveness of the new evaluation algorithm are verified.

Key words

time adaptive / apriori method / computing efficiency / computing accuracy

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LI Qi1, LI Bin1,2, MENG Xiaojun1, TANG Xiaowei2. A new algorithm for evaluating computing efficiency of ATAM[J]. Journal of Vibration and Shock, 2021, 40(7): 62-67

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