Hamiltonain Particle Dynamics法の開発

（基礎的概念の提案）

抄録

There are many kinds of phenomena, ranging from microscopic scale to macroscopic scale and many kinds of numerical analysis methods corresponding to scale size have been introduced. This situation makes it difficult to discuss the phenomena including various scale physics from a common point of view. This is that there is no universal description of phenomena of various scale. This paper focus on Hamiltonian description of phenomena and presents a method of analyzing various kinds of scale phenomena from a common viewpoint. The method is based on both the Hamiltonian formulation of a system and the particle methods, and is called Hamiltonian Particle Dynamics (HPD). In this paper, the background and the fundamental concept of HPD are explained and an example of HPD applications, that is, the behavior of incompressible inviscid fluid, is simulated.