Analysis of the Turkel-Zwas Scheme for the Two-Dimensional Shallow Water Equations in Spherical Coordinates

Abstract

A linear analysis of the shallow water equations in spherical coordinates for the Turkel-Zwas (T-Z) explicit large time-step scheme is presented. Tis paper complements the results of Schoenstadt, Neta and Navon, and others in 1-D, and of Neta and DeVito in 2-D, but applied to the spherical coordinate case of the T-Z scheme. This coordinate system is more realistic in meteorology and more complicated to analyze since the coefficients are no longer constant.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1997
Accession Number
ADA637397

Entities

People

  • B. Neta
  • F. X. Giraldo
  • I. M. Navon

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Cartesian Coordinates
  • Computational Science
  • Computations
  • Coordinate Systems
  • Differential Equations
  • Eigenvalues
  • Equations
  • Fluid Dynamics
  • Gravity Waves
  • Grids
  • Mathematics
  • Shallow Water
  • Transfer Functions
  • Two Dimensional
  • Water
  • Wind Velocity

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)