Conditional stability conditions for a semi-implicit PE barotropic model

Details

• Personal Author:
  Gerrity, Joseph P.
• Corporate Authors:
  National Meteorological Center (U.S.)
• NOAA Program & Office:
  NWS (National Weather Service)
• Description:
  "Difficulties encountered with the semi-implicit version of the Shuman-Hovermale model (Gerrity 1973) when orography was incorporated suggested the possibility that linear computational instability might be associated with the large variations of the specific volume on a a-coordinate surface in the presence of mountains. Some numerical experiments with a freesurface PE barotropic model with orography were undertaken in order to shed light on the subject. In this note, a stability analysis of the barotropic model is presented which supports the general stability of the semi-implicit method but does indicate the existence of a conditional stability requirement; viz., the "deviation" phase velocity-must not be large compared to the "mean" phase velocity"--Introduction.
• Content Notes:
  J.P. Gerrity.
  
  "June 1974."
  
  Includes bibliographical references (page 7).
  
  
• Keywords:
  Atmospheric Pressure Mathematical Models Measurement Numerical Analysis Numerical Weather Forecasting Atmospheric Pressure Mathematical Models Numerical Analysis Numerical Weather Forecasting
• Series:
  Office note (National Meteorological Center (U.S.))   no. 99
• Document Type:
  Miscellaneous
• Place as Subject:
  United States
• Rights Information:
  Public Domain
• Compliance:
  Library
• Main Document Checksum:
  urn:sha256:bc888b31be26c2adda3c6904bd9d385f0e7e09a8e1f355a1ed0b4dfad3d46512
• Download URL:
  https://repository.library.noaa.gov/view/noaa/12520/noaa_12520_DS1.pdf
• File Type:
  [PDF - 282.32 KB ]