https://hal-polytechnique.archives-ouvertes.fr/hal-01114972Lopez, DiegoDiegoLopezLadHyX - Laboratoire d'hydrodynamique - X - École polytechnique - CNRS - Centre National de la Recherche Scientifiquede Langre, EmmanuelEmmanuelde LangreLadHyX - Laboratoire d'hydrodynamique - X - École polytechnique - CNRS - Centre National de la Recherche ScientifiqueMichelin, SébastienSébastienMichelinLadHyX - Laboratoire d'hydrodynamique - X - École polytechnique - CNRS - Centre National de la Recherche ScientifiqueA space-averaged model of branched structuresHAL CCSD2015[PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]Roura, Denis2015-02-10 12:29:572022-08-31 17:06:292015-02-10 12:29:57enJournal articles10.1016/j.compstruc.2014.09.0031Many biological systems and artificial structures are ramified, and present a high geometric complexity. In this work, we propose a space-averaged model of branched systems for conservation laws. From a one-dimensional description of the system, we show that the space-averaged problem is also one-dimensional, represented by characteristic curves, defined as streamlines of the space-averaged branch directions. The geometric complexity is then captured firstly by the characteristic curves, and secondly by an additional forcing term in the equations. This model is then applied to mass balance in a pipe network and momentum balance in a tree under wind loading.