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A varying time-step explicit numerical integration algorithm for solving motion equation

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Acta Seismologica Sinica

Abstract

If a traditional explicit numerical integration algorithm is used to solve motion equation in the finite element simulation of wave motion, the time-step used by numerical integration is the smallest time-step restricted by the stability criterion in computational region. However, the excessively small time-step is usually unnecessary for a large portion of computational region. In this paper, a varying time-step explicit numerical integration algorithm is introduced, and its basic idea is to use different time-step restricted by the stability criterion in different computational region. Finally, the feasibility of the algorithm and its effect on calculating precision are verified by numerical test.

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Authors and Affiliations

  1. Institute of Engineering Mechanics, China Earthquake Administration, 150080, Harbin, China

    Zhou Zheng-hua, Wang Yu-huan, Liu Quan, Yin Xiao-tao & Yang Cheng

  2. Institute of Mechanics, Chinese Academy of sciences, 100080, Beijing, China

    Zhou Zheng-hua

Authors
  1. Zhou Zheng-hua
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  2. Wang Yu-huan
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  3. Liu Quan
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  4. Yin Xiao-tao
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  5. Yang Cheng
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Additional information

Foundation item: National Natural Science Foundation of China (50178065), 973 Program (2002CB412706), National Social Commonweal Research Foundation (2002DIB30076) and Joint Seismological Science Foundation (101066).

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Zhou, Zh., Wang, Yh., Liu, Q. et al. A varying time-step explicit numerical integration algorithm for solving motion equation. Acta Seimol. Sin. 18, 239–244 (2005). https://doi.org/10.1007/s11589-005-0071-3

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  • DOI: https://doi.org/10.1007/s11589-005-0071-3

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