Use of Galerkin methods in numerical weather prediction
Loading...
Authors
Williams, Roger Terry
Subjects
Finite Element Method
Spectral Method
Numerical Methods
Spectral Method
Numerical Methods
Advisors
Date of Issue
1978
Date
1978
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
In this report the Galerkin method is presented and the spectral and finite element methods are shown to be special cases of the general method. The spectral and finite methods are applied to a simple linear equation and compared. The spectral method is then applied to the non-linear baratropic vorticity equation in Cartesian coordinates and in spherical coordinates. The transform technique is presented which allows efficient treatment of the nonlinear terms in the spectral method. This method is also applied to the shallow water equations. The finite element method with linear basis functions is applied to the linear advection equation and compared to second and fourth order finite difference approximations. The nonlinear barotropic vorticity is also developed in finite elements.
Type
Technical Report
Description
Series/Report No
Department
Identifiers
NPS Report Number
NPS63-78-006
Sponsors
Prepared for: Naval Environmental Prediction Research Facility
and Fleet Numerical Weather Central
Funder
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.