On staggering techniques and the non-staggered Z-grid scheme

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• 作者：Qingshan Chen
• 关键词：35Q35 ; 35Q86 ; 65M06 ; 05M08
• 刊名：Numerische Mathematik
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：132
• 期：1
• 页码：1-21
• 全文大小：2,244 KB
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• 作者单位：Qingshan Chen (1)
  
  1. Department of Mathematical Sciences, Clemson University, Clemson, SC, 29631, USA
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Numerical Analysis
  Mathematics
  Mathematical and Computational Physics
  Mathematical Methods in Physics
  Numerical and Computational Methods
  Applied Mathematics and Computational Methods of Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：0945-3245

文摘

A new staggered-grid momentum-based numerical scheme that is equivalent to the non-staggered Z-grid scheme for linearized shallow water equations is proposed. Utilizing the equivalence between the staggered/non-staggered discrete vorticity-divergence fields and the discrete velocity fields, the equivalent vorticity-divergence formulations of some of the existing staggered-grid schemes, namely the C-grid, D-grid, CD-grid, and co-volume schemes are derived. The strengths and weaknesses of these schemes are discussed from the perspectives of their new formulations. Mathematics Subject Classification 35Q35 35Q86 65M06 05M08