Owing to the type of the flow governing equation system

and the low efficiency of standard time-marching algorithm in solving the low Math number flows

a time marching code was explored to solve the incompressible internal flow field of turbomachinery based on the pseudo compressibility method.In the full paper

we explained our exploration in some detail;in this Abstract

we just added some pertinent remarks listing three topics of explanation.In the first topic

a universal N-S equation system was derived

which can govern both high subsonic and low Mach number flow by a pseudo compressibility factor developed by Chorin.In the second topic

four step Runge-Kutta time-marching method with the central difference scheme was employed to resolve the N-S equations.Also in the second topic

we pointed out how the optimal pseudo compressibility factor was determined.In the last topic

some numerical results and the analysis for a vane diffuser of a tested centrifugal compressor were presented.The analysis of these results shows preliminarily that:(1) for the low Mach number flowfield

both efficiency and accuracy of the time marching algorithm based on the pseudo compressibility method is higher than that of the traditional time-marching algorithm;(2) the pseudo compressibility method is a compensator for the time-marching algorithm

and the application of the time-marching algorithm is extended by introducing the pseudo compressibility method.