Applying the law of conservation of mass,movement theorem of steady flow, and applying the mathematical method of stream function with the consideration of the axis symmetry,the three components of velocity quantum of the flow are deduced in detail.

A method of semi-false transient to compute three dimensional steady flow was presented.

Simulation and pressure pulsation prediction of unsteady flow in draft-tubes of Francis turbine;

Numerical simulation of unsteady flow in oscillatory tube;

The numerical simulation of two-dimensional unsteady flow by SMAC;

From the standpoint of coupling of non-steady flow with elastic blade vibration,studied was the forced response of blades,which is of major significance for the high-cycle fatigue of blades.