基于TVD格式数值模拟带调压室的水击过程

调调压室通常用来解决水电站的水击问题,准确数值模拟其过程十分重要。近年来计算流体力学热衷于用TVD格式数值模拟各种激波，水击波也属于一种激波。本文将水击方程与涌波方程联合计算，采用 Harten经典修正通量TVD差分格式，结合水击模型上游动边界以及初始条件，数值模拟带调压室的水电站压力管道的水击过程。通过对上游带调压室水击工程实例计算表明，本文方法能有效的模拟其水力过渡过程，比经典差分一阶Lax-Friedrichs格式和二阶MacCormark格式更能准确地捕捉水击波，计算精度显著提高，为水击计算提供新方法。

Numerical Simulation of Water Hammer Based on TVD Scheme in the Surge Chamber

Surge chamber is commonly used to solve the problem of water hammer of hydropower stations, numerical simulation of the process accurately is very important. Recent years, researchers of computational fluid dynamics?are enthusiastic about using TVD scheme to simulate various kinds of shock wave. This paper solves numerically the water hammer and surge equation, combines with the variable boundary and initial conditions,and simulates the water hammer process of surge pressure pipeline in the hydropower station with the classical Harten’s modified TVD scheme. The results of practice engineering with surge chamber in the upstream show that the method introduced can effectively simulate the hydraulic transient process, which is more accurate than the classic first-order Lax - Friedrichs and second-order MacCormark scheme to capture the water hammer wave. The simulation accuracy are improved significantly,which to provide a new method for water hammer simulation.