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

被引:0
|
作者
Zhou, Zheng-Hua [1 ,2 ]
Wang, Yu-Huan [1 ]
Liu, Quan [1 ]
Yin, Xiao-Tao [1 ]
Yang, Cheng [1 ]
机构
[1] Inst. of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China
[2] Inst. of Mechanics, Chinese Acad. of sciences, Beijing 100080, China
来源
基金
中国国家自然科学基金;
关键词
D O I
10.1007/s11589-005-0071-3
中图分类号
学科分类号
摘要
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.
引用
收藏
页码:239 / 244
相关论文
共 50 条
  • [1] A varying time-step explicit numerical integration algorithm for solving motion equation
    Zhou Zheng-hua
    Wang Yu-huan
    Liu Quan
    Yin Xiao-tao
    Yang Cheng
    EARTHQUAKE SCIENCE, 2005, 18 (02) : 239 - 244
  • [2] Large time-step explicit integration method for solving problems with dominant convection
    Idelsohn, Sergio
    Nigro, Norberto
    Limache, Alejandro
    Onate, Eugenio
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 217 : 168 - 185
  • [3] Evaluation of Atomic Pressure in the Multiple Time-Step Integration Algorithm
    Andoh, Yoshimichi
    Yoshii, Noriyuki
    Yamada, Atsushi
    Okazaki, Susumu
    JOURNAL OF COMPUTATIONAL CHEMISTRY, 2017, 38 (10) : 704 - 713
  • [4] A dual adaptive explicit time integration algorithm for efficiently solving the cardiac monodomain equation
    Mountris, Konstantinos A.
    Pueyo, Esther
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 2021, 37 (07)
  • [5] A PRECISE TIME-STEP INTEGRATION METHOD
    ZHONG, WX
    WILLIAMS, FW
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 1994, 208 (06) : 427 - 430
  • [6] FUZZY CONTROL TO TIME-STEP FOR NUMERICAL SOLVING 2-PHASE FLOW
    TAKAHASHI, R
    TOMIYAMA, A
    JOURNAL OF THE ATOMIC ENERGY SOCIETY OF JAPAN, 1987, 29 (08): : 732 - 738
  • [7] Third-order time-step integration methods with controllable numerical dissipation
    Fung, TC
    COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1997, 13 (04): : 307 - 315
  • [8] CAPACITANCE AND INITIAL TIME-STEP EFFECTS ON NUMERICAL-SOLUTIONS OF RICHARDS EQUATION
    ROGERS, JS
    TRANSACTIONS OF THE ASAE, 1994, 37 (03): : 807 - 813
  • [9] THE PARA-FAMILY OF ALGORITHMS FOR TIME-STEP INTEGRATION WITH IMPROVED NUMERICAL DISSIPATION
    BAZZI, G
    ANDERHEGGEN, E
    EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS, 1982, 10 (04): : 537 - 550
  • [10] Krylov precise time-step integration method
    Fung, T. C.
    Chen, Z. L.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2006, 68 (11) : 1115 - 1136