Solution of kinematic approximation ofSaint-Venant equation. Analytical solutions for several tasks

摘要

One-dimensional differential model of Saint-Venant describes the free flow ofwater in the open bed. For the kinematic approximation which is a quasi-linearfirst-order equation in the stationary case, there is a general analytical solution ,for the non-stationary case it is required the development of a special algorithmfor finding solutions . This paper presents analytical solutions of several stationaryand non-stationary tasks.