A mathematical model for unsteady mixed flows in closed water pipes
Résumé
We present the derivation of a new unidirectionnal model for unsteady mixed flows in non uniform closed domains. We introduce a local reference frame to take into account the local perturbation caused by the changes of section and slope. Then an asymptotic analysis is performed to obtain a model for the free surface flow and another for the pressurised flow. By coupling these models through the transition points by the use of a common set of variables and a suitable pressure law, we obtain a simple formulation called PFS-model close to the shallow water equations with source terms. It takes into account the changes of section and the slope variation in a continuous way through transition points.
Origine : Fichiers produits par l'(les) auteur(s)