The effect of spatial discretization on the steady-state and transient solutions of a dispersive wave equation
By: by Arthur L. Schoenstadt
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1976
Place of publication: Monterey, California
Language: eng
Number of pages: 34
Subjects: Mathematical models; Initial value problems; Wave equation; Numerical weather forecasting; Atmospheric circulation
Description: The study of the dispersive wave equation is fundamental to an understanding of the process of geostrophic adjustment. In this report, the effect of replacing the spatial derivatives in a dispersive wave equation with second order, centered finite differences is examined with the use of Fourier Transform methods. The discretization is shown to both decrease the rate of spatial decay of the steady state solution, and to introduce additional transients at least as persistent as those in the differential case.
Notes: Title from cover.

"NPS-53Zh76036"--Cover.

"March 1976"--Cover.

"Prepared for: Fleet Numerical Weather Central, Monterey, California 93940; Naval Environmental Prediction Research Facility, Monterey, California 93940."

Includes bibliographical references (p. 28)

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

Technical report; 1976.

ck/ 7/30/09.