Study of Ideal Gas Fluid Mechanics by Using One-Particle Simulations

초록

Fluid mechanics concerns itself with the study of various properties of fluids, where a fluid is regarded as a continuous medium. Although the dynamic equations for fluids can be derived with various simplifying assumptions, it is difficult to obtain analytic solutions in general. In this work, a novel method for simulating a two-dimensional ideal gas is developed. The method is based on repetition of one-particle simulations, utilizing the fact that the particles forming an ideal gas are noninteracting by definition. As an example of a nontrivial application of the method, steady flow in a pipe with varying widths is simulated. The relation between the pressure and the fluid velocity can be investigated. In particular, one can show that the velocity is increased and the pressure is decreased inside narrow regions, without deriving Bernoulli equation under the assumption of constant entropy per unit mass. If an explicit particle description is used instead of a continuous fluid, the origin of the low pressure at high velocity can be understood more intuitively.

키워드