A space-averaged model of branched structures
We present an original space-averaged model for conservation laws in branched systems. The system is modeled by one-dimensional equations along characteristic curves related to the initial geometry. A geometric forcing term accounts for branching and diameter variations in a continuous way. This model accurately predicts mass balance in a pipe network and momentum balance in a tree under wind loading. The derivation of this model is general and can be of use in a large variety of branched systems.
conservation laws branched system characteristic curves space-averaged branching flow-induced pruning