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).
• Series:
  Office note (National Meteorological Center (U.S.)) ; 99
• Document Type:
  Miscellaneous
• Place as Subject:
  United States
• Rights Information:
  Public Domain
• Compliance:
  Library
• Download URL:
  https://repository.library.noaa.gov/view/noaa/12520/noaa_12520_DS1.pdf
• File Type:
  [PDF - 282.32 KB]
• Collection(s):
  National Weather Service (NWS)
• Main Document Checksum:
  urn:sha-512:d21357953323cb6f85033e67cac5a8d6d016efd5b0563817c3782c83c1e5a8c679ce3da70e5a718f0818ce8c7e2e32a44900b776070dc405dcc32798309901cd