关键词: 管流;一维流;可压缩流;有限元法;状态空间法;仿真模型

Abstract: Two kinds of finite control volume elements of one-dimensional compressible fluid, which are crisscross and be defined as state elements and velocity elements respectively, is introduced. By applying mass and energy conservation equations and momentum conservation equation to the state elements and to the velocity elements respectively, the finite elements state space model for one-dimensional compressible fluid flow is developed. The treatment of boundary conditions between elements in the model is simple and effective. The model is suitable for treating arbitrary physical boundary conditions. Compared to analytical solution, the model is shown to be accurate.

Key words: Pipe flow;One dimensional flow;Compressible flow;Finite element method;State space method;Simmodel model