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

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.