Combining Finite Element Method and L-Systems Using Natural Information Flow Propagation to Simulate Growing Dynamical Systems

Jean-Philippe Bernard (1) , Benjamin Gilles (2, 3) , Christophe Godin (1)

1 VIRTUAL PLANTS - Modeling plant morphogenesis at different scales, from genes to phenotype
2 ICAR - Image & Interaction
3 LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier

This paper shows how to solve a system of di↵erential equa-tions controlling the development of a dynamical system based on finite element method and L-Systems. Our methods leads to solve a linear system of equations by propagating the flow of information throughout the structure of the developing system in a natural way. The method is illustrated on the growth of a branching system whose axes bend under their own weight.

Domaines: Modélisation et simulation

Jean-Philippe Bernard, Benjamin Gilles, Christophe Godin. Combining Finite Element Method and L-Systems Using Natural Information Flow Propagation to Simulate Growing Dynamical Systems. TPNC: Theory and Practice of Natural Computing, Dec 2014, Granada, Spain. pp.218-230, ⟨10.1007/978-3-319-13749-0_19⟩. ⟨hal-01096602⟩