Abstract
Particle methods are meshless methods in which motion of continua is simulated with a finite number of particles. In this paper, we develop a particle method from a direct discretization of the Lagrangian for inviscid incompressible flows. This particle method is a Hamiltonian system with holonomic constraints which stem from the incompressibility condition. In the accompanying paper, the RATTLE algorithm which is a symplectic scheme for constrained Hamiltonian systems is adopted to improve the quality of the particle method.
