A space-averaged model of branched structures

作者：Lopez Diego^*; de langre Emmanuel; Michelin Sebastien

来源：Computers & Structures, 2015, 146: 12-19.

DOI：10.1016/j.compstruc.2014.09.003

• Space-averaged branching
• Branched system
• Conservation laws
• Characteristic curves
• Flow-induced pruning

Many 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.

• 出版日期2015-1