The effect of spatial discretization on the steady-state and transient solutions of a dispersive wave equation
Loading...
Authors
Schoenstadt, Arthur L.
Subjects
Dispersive Waves
Numerical Weather Prediction
Finite Difference Methods
Finite Difference Solutions
Fourier Transform Methods
Geostrophic Adjustment
Numerical Weather Prediction
Finite Difference Methods
Finite Difference Solutions
Fourier Transform Methods
Geostrophic Adjustment
Advisors
Date of Issue
1976-03
Date
1976-03
Publisher
Monterey, CA; Naval Postgraduate School
Language
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
Type
Technical Report
Description
Series/Report No
Department
Organization
Identifiers
NPS Report Number
NPS-53Zh76036
Sponsors
Prepared for:
Fleet Numerical Weather Central, Monterey, California 93940
Naval Environmental Prediction Research Facility, Monterey, CA
Funding
N6685676WR00012
Format
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.