Fast inverse modeling technique to reconstruct a laminar flow: Application to a part of Versailles water network

Julien Waeytens (1) , Erick Merliot (1) , Patrice Chatellier (1)

1 IFSTTAR/COSYS/LISIS - Laboratoire Instrumentation, Simulation et Informatique Scientifique

We propose a fast inverse modeling technique, based on the optimal control theory, to reconstruct a twodimensional (2D) laminar flow in water networks. To determine the boundary control velocities, we minimize a data misfit functional. Using a priori information on the boundary velocity shape, it enables us to employ a moderate number of velocity sensors. Real-time flow reconstruction is achieved solving CFD problems during an offline stage. Once we get the sensor outputs, only a small linear system has to be solved online.

Mots clés: inverse problem; optimal control; fluid mechanics; water networks

Domaines: Analyse numérique [math.NA]; Mécanique [physics]; Sciences de l'ingénieur [physics]

Julien Waeytens, Erick Merliot, Patrice Chatellier. Fast inverse modeling technique to reconstruct a laminar flow: Application to a part of Versailles water network. 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France. ⟨hal-00855914⟩