An analysis of the computational stability criteria for explicit and implicit integration schemes using a two layer model in Phillips [sigma] Coordinate

Details

• Personal Author:
  Gerrity, Joseph P.
• Corporate Authors:
  National Meteorological Center (U.S.)
• NOAA Program & Office:
  NWS (National Weather Service)
• Description:
  "The linear computational stability criterion for a multi-level primitive equation model is usually most strongly dependent upon the gravitational modes of oscillation. Recently, A. Robert and others have proposed the use of semi-implicit integration methods for reducing this dependence. In this note, we shall analyze the computational stability of three methods for integration of a simple fluid model which possesses only gravitational modes. The model will be written using the a coordinate proposed by Phillips and will consist of only two layers. Such a simple partitioning of the vertical structure gives rise to an especially compact problem but is of non-trivial interest. The three integration methods which are investigated are the explicit, the semi-implicit and a modified semi-implicit scheme. We arrive at a characteristic equation which is formally the same for all three methods. It is evaluated for an isothermal and standard atmosphere"--Introduction.
• Content Notes:
  Joseph P. Gerrity, Jr., and Ronald D. McPherson.
  
  "October 1970."
  
  System requirements: Adobe Acrobat Reader.
  
  
• Keywords:
  Mathematical Models Numerical Analysis Weather Forecasting Mathematical Models Numerical Analysis Weather Forecasting
• Series:
  Office note (National Meteorological Center (U.S.))   45
• Document Type:
  Miscellaneous
• Rights Information:
  Public Domain
• Compliance:
  Library
• Main Document Checksum:
  urn:sha-512:0aaee7df615f22a0d258559cd05a464ffe9a17b37c06a66dd07cc9f6a0fcf8556b0adb2d1cc396d7fd435f7a701f4e80b969b065a0c16fad836d1849f72b139d
• Download URL:
  https://repository.library.noaa.gov/view/noaa/22784/noaa_22784_DS1.pdf
• File Type:
  [PDF - 301.28 KB ]