The operational solution of the balance equation
Open Access
- 1 February 1967
- journal article
- Published by Stockholm University Press in Tellus
- Vol. 19 (1) , 24-32
- https://doi.org/10.1111/j.2153-3490.1967.tb01456.x
Abstract
The balance equation is commonly used to provide accurate non-divergent initial wind fields for prognostic models. The most important technical operational problems occurring in the numerical solution of the equation are examined. Methods of convergence are proposed, which are accurate and economical of computer time. The specific points treated are the convergence criterion, the relaxation factor, a correction technique for the residual error and a simple method of selective relaxation. Typical error fields at 500 mb illustrate the accuracy of the proposed method. DOI: 10.1111/j.2153-3490.1967.tb01456.xKeywords
This publication has 9 references indexed in Scilit:
- Test of Convergence Speed of Iterative Methods for Solving 2 and 3 Dimensional Elliptic-type Differential EquationsJournal of the Meteorological Society of Japan. Ser. II, 1960
- A CONVERGENT METHOD FOR SOLVING THE BALANCE EQUATIONJournal of Meteorology, 1958
- An Experiment in Numerical Prediction with two Non-Geostrophic Barotropic ModelsTellus A: Dynamic Meteorology and Oceanography, 1958
- NUMERICAL METHODS IN WEATHER PREDICTION: I. THE BALANCE EQUATION*Monthly Weather Review, 1957
- The use of a stream function in a two‐parameter model of the atmosphereQuarterly Journal of the Royal Meteorological Society, 1956
- On a Method of Solving the Balance Equation By K. MiyakodaJournal of the Meteorological Society of Japan. Ser. II, 1956
- An Improved Barotropic Model and some Aspects of Using the Balance Equation for Three-dimensional FlowTellus A: Dynamic Meteorology and Oceanography, 1956
- Numerical Forecasting with the Barotropic ModelTellus A: Dynamic Meteorology and Oceanography, 1955
- ON A PHYSICAL BASIS FOR NUMERICAL PREDICTION OF LARGE-SCALE MOTIONS IN THE ATMOSPHEREJournal of Meteorology, 1949