摘要
建立了非定常爆轰波的理论模型。根据CE/SE方法的基本思想,推导出适合于求解二维N S方程的长方形网格的CE/SE方法。对于包含刚性反应源项的守恒方程组,将其分为两部分,其中刚性反应源项单独求解。本文以爆轰管内装填C3H8/O2预混气体为例,数值模拟管内爆轰波的传播过程以及爆轰波脱离爆轰管后流场的图谱。计算结果显示,爆轰波在管内传播时,其波系极其复杂。当爆轰波离开出口后,迅速熄灭为非反应的激波。管外不仅有激波、膨胀波的传播,而且还存在激波与涡的相互作用。数值实践表明,该CE/SE方法可以有效捕获爆轰波与激波等强间断。
In this paper, a model of unsteady detonation is set up. Based on the idea of Chang's spacetime Conservation Element and Solution Element (CE/SE) method, a new approach of CE/SE is deduced for solving 2D NaverStokes equations on quadrilateral meshes. The conservation equations with still source terms for chemical reactions are divided into two parts: (1) the spacetime flux of the flow variables without concerning the source terms are solved by the CE/SE method; (2) the solution of the source terms is updated by using the forth order RungeKutta method. The detonation tube filling with a propane/oxygen is studied in this paper. The detail computations for detonation wave propagating inside tube and flow field outside tube are numerically simulated. The computational results show that the waves system is complex during detonation traveling inside tube. After detonation wave exits the tube, it quickly goes out and become shock. Shocks, expansion waves and vortexes are affected each other. The numerical simulation show that the CE/SE method deduced in this paper can effectually capture strong discontinuity such as detonation and shock.
出处
《空气动力学学报》
CSCD
北大核心
2003年第3期301-310,共10页
Acta Aerodynamica Sinica
