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An explicit method for numerical simulation of wave motion---2-D wave motion[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(6): 1104-1116. DOI: 10.6052/0459-1879-2010-6-lxxb2008-590
Citation: An explicit method for numerical simulation of wave motion---2-D wave motion[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(6): 1104-1116. DOI: 10.6052/0459-1879-2010-6-lxxb2008-590
shu

An explicit method for numerical simulation of wave motion---2-D wave motion

  • 1.

    Civil Engineering, Tsinghua University, Beijing 100084, China

  • 2.

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

  • Received Date: September 23, 2008
  • Revised Date: May 23, 2010
    Graphical Abstract
    • Abstract
  • For numericalsimulation of wave motion, this paper generalizes the explicitmethod for 1-D wave equation to 2-D case, and develops thecorresponding recursion formulas for an irregular grid for 2-Dwave equations. For uniform quadrate grids, an approach toconstruct 2M-order stable formulas is discussed in detail, withM being a positive integer, which is illustrated by constructingsecond-order (M=1) and fourth-order (M=2) formulas. Bynumerical tests, the theoretical results presented in the paperare demonstrated, in which the effect of highly accurate recursionformulas in improving calculation efficiency is emphasized.
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