Comportamiento de las ecuaciones de Saint-Venant en 1D y aproximaciones para diferentes condiciones en régimen permanente y variable

Abstract

The importance of the behavior of the Saint Venant equations and its implications for flow analysis applied to models of hydraulic transit is the main theme of this research, where the basis of the applications and uses of these mathematical models is determined and the performance is evaluated these equations in 1D and possible approaches for different conditions of a real situation using computational numerical experimentation for a section of a prismatic channel with a hydraulic section, in cases where the channel slope presents three types of conditions: supercritical, subcritical and horizontal slope for a design rate. The main objective of this research is to find a demonstration of the applicability of the Saint Venant equations for different conditions of approaching this problem from the point of view of the solution of the Saint Venant equations in one dimension. Scheme simple solution that produce useful solutions to the needs of engineering and found to be within the sewer network analysis, many factors can affect the solution of the Saint Venant equations is proposed.

Keywords

• Mathematical modeling
• Saint Venant equations
• Slope subcritical
• Supercritical Slope
• Wave Dynamics