扩散波洪水演算研究进展

Advances of Research in Diffusion-wave Flood Routing

扩散波方程是通过忽略动力方程中的惯性项后与连续方程联立求解而得 ,经大量的实践证明不失为一种既具有足够精度又相对简单的洪水演算方法 .近 30年来 ,该方法有了显著的发展 .文中对扩散波方程的导出进行了比较全面的回顾 ,重点介绍了扩散波方程在各种条件下的解 ,对采用扩散波来近似进行洪水演算所造成的误差也作了简要的回顾 .在此基础上分别进行了若干的评述 .

The diffusion wave equation is based on the neglect of the inertia terms from the momentum equation of the De Saint Venant flow equations, and it has been demonstrated that the model is a good method for flood routing with enough accuracy and relatively simply. Since the last thirty years, the theory and method of diffusion wave have obtained a great progress. This paper reviews the derivation of diffusion wave equation, error analyze of diffusion wave approximations, and places stress on the solution of diffusion wave equation.