The computational stability properties of the Shuman pressure gradient averaging technique
By: Arthur L. Schoenstadt and R.T. Williams
Contributors: Williams, R. T.; Fleet Numerical Weather Central (Monterey, Calif.); United States. Navy. Environmental Prediction Research Facility, Monterey, Calif; United States. Office of Naval Research
Publisher: Naval Postgraduate School
Published: 1975
Place of publication: Monterey, California
Language: eng
Number of pages: 29
Subjects: Atmospheric pressure; Mathematical models; Numerical weather forecasting; Statistical methods
Description: The stability properties of the Shuman pressure gradient averaging technique are investigated with the linearized shallow water equations. In the simplest case an analytic expression is obtained for the stability region, and the maximum time step is shown to be twice the value for the leapfrog scheme. When a mean flow is added to the equations, it is shown the maximum time step must be reduced. The time averaging suggested by Robert is examined, and again leads to a shorter time step. In each case, however, the use of the Shuman averaging allows a significantly longer time step than the conventional leapfrog scheme.
Notes: Title from cover.

"NPS-53Zh51Wu75091"--Cover.

"September 1975"--Cover.

"Prepared for: Chief of Naval Research, Arlington, Virginia 22217; Fleet Numerical Weather Central, monterey, California 93940; Environmental Prediction Research Facility, Monterey, California 93940."

Includes bibliographical references (p. 16)

"Approved for public release; distribution is unlimited"--Cover.

Technical report; 1975.

ck/ 7/30/09.