Abstract: In order to simulate the hydraulic transient of the hydropower station which has upstream surge chamber,a TVD scheme is employed to solve the water hammer equations. In association with the basic equations of the surge chamber system and the given boundary conditions,the variation of water hammer pressure is simulated. The approach is applied to engineering practice and the calculated waterhead is consistent with measured data. Furthermore,the calculation result is compared with those calculated by using MacCormark and Lax-Friedrichs schemes. It’s revealed that the TVD scheme can effectively simulate the water hammer effect in the upstream surge chamber,and the calculation is less dissipative,non-oscillatory,and highly precise.

Key words: numerical simulation of water hammer , TVD scheme , hydraulics , surge chamber