一维可压缩流的有限元状态空间模型

FINITE ELEMENTS STATE SPACE MODEL FOR ONE DIMENSIONAL COMPRESSIBLE FLUID FLOW

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

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

摘要:

通过引入位置交错的两种有限控制体积单元——状态单元和速度单元，对其分别应用质量、能量守恒方程和动量守恒方程， 建立了一维可压缩流的有限元状态空间模型， 模型单元边界条件的处理方式简单有效， 适用于处理任意的物理边界条件。与分析解的比较表明该模型是精确的

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.