An analysis of linear computational stability of explicit and implicit integration schemes for a two-layer model using Shuman's [sigma]-coordinate

Details

• Personal Author:
  Gerrity, Joseph P. ; McPherson, Ronald D.
• Corporate Authors:
  National Meteorological Center (U.S.)
• NOAA Program & Office:
  NWS (National Weather Service)
• Description:
  "In a previous Office Note (#45), an analysis was presented of the linear computational stability criteria for explicit and implicit integration schemes using a two-layer model in Phillips' [sigma]-coordinate system. The purpose of the present note is to perform a similar analysis for the case in which the vertical coordinate is based on Shuman's definition of [sigma]. In this case, the two layers are separated by a material surface, so that [sigma] vanishes identically"--Introduction.
• Content Notes:
  Jospeh P. Gerrity, Jr., and Ronald D. McPherson.
  
  "January 1971."
  
  System requirements: Adobe Acrobat Reader.
  
  
• Keywords:
  Mathematical Models Numerical Analysis Numerical Weather Forecasting Weather Forecasting Mathematical Models Numerical Analysis Numerical Weather Forecasting Weather Forecasting
• Series:
  Office note (National Meteorological Center (U.S.))   49
• Document Type:
  Miscellaneous
• Place as Subject:
  United States
• Rights Information:
  Public Domain
• Compliance:
  Library
• Main Document Checksum:
  urn:sha256:bba45e1cf13bff3e0e1e2b5517edbd49ad137cedb6121a5e2ecf0c908f146632
• Download URL:
  https://repository.library.noaa.gov/view/noaa/12324/noaa_12324_DS1.pdf
• File Type:
  [PDF - 604.95 KB ]