Accession Number : ADA112386

Title :   Development of Improved Finite Element Formulation for Shallow Water Equations.

Descriptive Note : Master's thesis,


Personal Author(s) : Woodward,Edward T

PDF Url : ADA112386

Report Date : Sep 1981

Pagination or Media Count : 173

Abstract : The basic principles of the Galerkin finite element method are discussed and applied to two different formulations; one using different basis functions and the other using the vorticity-divergence form of the shallow water equations. Each formulation is compared to the primitive form of the equations developed by Kelley (1976). The testing involves a comparison of three finite element prediction models using variable size elements. Equilateral elements significantly improve the solution and are used in most of the comparisons. The formulation using different basis functions produces poorer results than the primitive formulation. The vorticity-divergence formulation produces superior results while executing faster than the primitive model. However, it does require more storage and the relaxation parameters are sensitive to the domain geometry. The computer implementation for the vorticity-divergence model is discussed and the source listing is included.

Descriptors :   *Finite element analysis, Mathematical models, Partial differential equations, Mathematical prediction, Shallow water, Vortices, Circulation, Equations of motion, Theses

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE