Abstract: Surge chamber is a widely-used device against water hammer of hydropower stations, and an accurate numerical simulation of the surge details is crucial. This paper presents a high-resolution method based on a TVD scheme for numerical solution of the water hammer equations coupled with the equation of surge in a surge chamber, and simulation results for a hydropower station, with the boundary and initial conditions briefly described. Application to an engineering case shows that the TVD scheme is more accurate in capturing steep waves than the classic first-order Lax-Friedrichs and the second-order MacCormark scheme, improving simulation accuracy significantly. The new method is better for water hammer simulation.