CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2013, Vol. 30 ›› Issue (3): 346-352.

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Asymptotic Convergence Analysis and Quantification of Uncertainty in Lagrangian Computations

LIU Quan1, WANG Ruili1, LIN Zhong1, LIU Xiqiang2   

  1. 1. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
    2. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China
  • Received:2012-07-16 Revised:2012-11-02 Online:2013-05-25 Published:2013-05-25

Abstract: We introduce asymptotic order of convergence,asymptotic range of convergence and concepts under behavior of Lagrangian computations.We also introduce grid convergence index to Lagrangian computation,and give a program using GCI method.These concepts and methods are used to measure computed values away from numerical asymptotic values.

Key words: hydrodynamics code, asymptotic convergence analysis, grid convergence index

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