时空守恒元和解元方法的爆震波一维数值模拟

One-dimensional numerical simulation of detonation waves based on space-time conversation element and solution element method

运用基元化学反应模型和流体力学的基本原理,建立了脉冲爆震发动机一维非定常反应流数学模型。应用一种改进的时空守恒元和解元(CESE)方法建立控制方程的差分格式,针对化学反应源项的刚性问题,在对非线性源项进行线性化处理的基础上,应用隐式梯形方法实现源项的积分。对氢氧爆震波的形成和传播过程进行数值计算,结果表明,应用CESE方法和基元化学反应模型能够成功地模拟氢氧爆震波的精细结构。

Mathematical model of one-dimensional reactive flow in pulse detonation engine was established on the basis of elementary chemical reaction model and fluid mechanics theory. The differential scheme of governing equations was developed by applying a modified conversation element and solution element method, and source term linearization procedure was adopted, and with that implicit trapezoidal rule was used to calculate the temporal integration of source term. The numerical calculation of the formation and propagation process of oxy-hydrogen detonation wave was made. Results show that CESE method and elementary chemical reaction model are applicable to simulate the refined structure of oxy-hydrogen detonation wave.