Abstract

AMARIS CASTRO, Gloria Estefany; GUERRERO BARBOSA, Thomas Edison  and  SANCHEZ ORTIZ, Edgar Antonio. Performance of the Saint Venant equations in 1D and approaches to different conditions in steady and variable state. Tecnura [online]. 2015, vol.19, n.45, pp.75-87. ISSN 0123-921X.  https://doi.org/10.14483/udistrital.jour.tecnura.2015.3.a06.

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 its 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 produces useful solutions to the needs of engineering, finding that within the sewer network analysis there are many factors that can affect the solution of the Saint Venant equations.

Keywords : mathematical modeling; Saint-Venant equations; slope subcritical; supercritical slope; wave dynamics.

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