The Method of Numerical Time Integration of Vortieity Equation Involving Frictional Term By K. Miyakoda

1 January 1959

journal article
Published by Meteorological Society of Japan in Journal of the Meteorological Society of Japan. Ser. II

Vol. 37 (1) , 10-21
https://doi.org/10.2151/jmsj1923.37.1_10

Abstract

First, it is proved that the solution for frictional vorticity equation appears always computationally unstable, so far as the usual centered time difference method is used. As the substitute of the method above, another method to obtain a computationally stable and accurate solution is proposed. The principle is to apply the centered difference method only to the calculation of the advection term, and to apply the forward difference method in Taylor's series expansion form to that of the frictional term.

Keywords

This publication has 3 references indexed in Scilit:

On the Truncation Errors in Numerical Prediction
Papers in Meteorology and Geophysics, 1957
The computational stability of boundary conditions in numerical integration of the vorticity equation
Archiv für Meteorologie, Geophysik und Bioklimatologie Serie A, 1954
Numerical Integration of the Barotropic Vorticity Equation
Tellus A: Dynamic Meteorology and Oceanography, 1950