Accession Number:

ADA023083

Title:

The Effect of Spatial Discretization on the Steady-State and Transient Solutions of a Dispersive Wave Equation

Descriptive Note:

Final rept. Jan-Mar 1976

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

Report Date:

1976-03-01

Pagination or Media Count:

41.0

Abstract:

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.

Subject Categories:

  • Meteorology
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE