含化学反应流动的TVD格式及其在燃气射流中的应用

以Harten标准TVD格式为基础，结合固体火箭燃气射流的特点，以数学方法系统地推导了适合于高温、高压和高速流体流动的数值格式，给出了压力偏导数的合理计算公式；利用化学动力学知识，对火箭燃气射流流场中存在的多组分、含有限速率的化学反应问题进行了论述，阐明了化学反应质量源项的求解方法。以12组分9反应方程模型为例，利用编制的计算程序，对某火箭燃气自由射流流场进行了模拟。通过对结果的分析，肯定了数值格式的正确性。

TVD SCHEME WITH CHEMICAL REACTION FLOW AND ITS APPLICATION IN COMBUSTION GAS JETTING FLOW

By conjugating features of combustion gas jetting flows of the solid-rocket and using mathematical methods, a numerical scheme is systematically derived based on Harten's standard TVD scheme, which fits for the flow with high temperature, pressure and velocity. The rational calculation formula of pressure partial derivation is also given out. By using the chemical kinetics knowledge, problems of multi-component and finite rate chemical reaction contained in combustion gas of the rocket flow field are discussed. The method for solving the mass source term of chemical reaction is clarified. Taking 9 reaction equations with 12 components as an example and utilizing the established calculation program, the free jetting flow field of the rocket is simulated. Numerical results show the correctness of the numerical scheme.