Improvements to the Staniforth-Mitchell Barotropic Numerical Weather Prediction Code.

Abstract

Improvements to the Staniforth-Mitchell barotropic numerical weather prediction code are proposed. Three separate contributions are described: (1) a direct solution of the Helmholtz equation is offered as a substitute for the iterative scheme currently employed; (2) a new algorithm is developed to solve the generalized eigenvalue problem for symmetric tridiagonal matrices; (3) the latter algorithm is extended to deal with a periodic boundary condition. It is estimated that a direct solution of the Helmholtz equation, for a 13 X 13 grid, will effect a computation time saving per time step of at least 10 percent. FORTRAN 77 listings of the subroutines needed to implement the proposed improvements are included. Keywords: Finite element code.

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Document Details

Document Type
Technical Report
Publication Date
Oct 15, 1986
Accession Number
ADA173568

Entities

People

  • R. E. Newton

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Algebra
  • Algorithms
  • Computations
  • Eigenvalues
  • Equations
  • Finite Element Analysis
  • Helmholtz Equations
  • Iterations
  • Linear Algebra
  • Linear Algebraic Equations
  • Numerical Analysis
  • Research Facilities
  • Security
  • Sequences
  • Standards
  • Stiffness
  • Weather Forecasting

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science/Meteorology
  • Computational Modeling and Simulation
  • Linear Algebra