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关于幂指数求解的方法讨论
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作者 李从胜 《数学学习与研究》 2008年第12期106-106,共1页
本文系统地论述了幂指数求导求解的三种方法:对数求导法,分解法,多元复合函数求导法.根据幂指函数的解的结构,有创新地提出了幂指函数分解法,并利用多元复合函数求导的内容进行了论证和说明。
关键词 幂指函数 对数求导 幂指函数分解 偏导数求解法 树状图
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TVD SCHEME WITH CHEMICAL REACTION FLOW AND ITS APPLICATION IN COMBUSTION GAS JETTING FLOW 被引量:1
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作者 李军 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2005年第1期64-70,共7页
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 ... 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. 展开更多
关键词 TVD scheme numerical simulation non-equilibrium reaction flow
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