EI、Scopus 收录
中文核心期刊
Zhenpeng Liao, Heng Liu, Zhinan Xie. An explicit method for numerical simulation of wave motion---1-D wave motion[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(3): 350-360. doi: 10.6052/0459-1879-2009-3-2007-635
Citation: Zhenpeng Liao, Heng Liu, Zhinan Xie. An explicit method for numerical simulation of wave motion---1-D wave motion[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(3): 350-360. doi: 10.6052/0459-1879-2009-3-2007-635

An explicit method for numerical simulation of wave motion---1-D wave motion

doi: 10.6052/0459-1879-2009-3-2007-635
  • Received Date: 2007-12-19
  • Rev Recd Date: 2008-03-10
  • Publish Date: 2009-05-18
  • A new explicit method for numerical simulation of wave motion in time domainis first presented and illustrated by constructing the recursion formulas atnodal points of an irregular grid for 1-D wave equation in this paper. Todemonstrate the possibility to develop stable and high-order formulas withthe method, accuracy and stability of the numerical simulation are firstdiscussed in detail for the 1-D scalar wave equation in a uniform grid, andan approach is then proposed to construct the stable formulas with 2M-orderaccuracy both in time and space. A theoretical case is illustrated byconstructing the formulas of second order (M=1) and fourth order (M=2). Theresults with the proposed method are validated by a series of numericaltests.

     

  • loading
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1857) PDF downloads(648) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return