17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract


Paper TuP06.4

Marcou, Olivier (Univ. of Perpignan), EL Yacoubi, Samira (Univ. of Perpignan)

Lattice Gas Approach for Modelling Water Flow in Irrigation Channels

Scheduled for presentation during the Regular Session "Infinite Dimensional and Distributed Parameter Systems II" (TuP06), Tuesday, July 25, 2006, 16:35−17:00, Room G

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 27, 2023

Keywords Control of distributed parameter systems


This article deals with the development of an alternative method for modelling irrigation channel systems. We propose in this paper, a lattice gas approach which has been already used for modelling two-dimensional fluid based on a fully discrete microscopic rule. These models describe the motion of fluid particles traveling in a discrete space and colliding with each other [3, 11]. The considered models named FHP lattice-gas are introduced by Frisch, Hasslacher and Pomeau in 1986 [5] and used a hexagonal symmetry with microscopic rules that yield the incompressible Navier-Stokes equation in the macroscopic limit.