| 超燃冲压发动机一维稳态跨声速流动奇异初值问题的一个解法 |
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| 引用本文： | 崔涛,于达仁,鲍文.超燃冲压发动机一维稳态跨声速流动奇异初值问题的一个解法[J].中国航空学报,2005,18(2):97-101. |
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| 作者姓名： | 崔涛 于达仁 鲍文 |
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| 作者单位： | [1]College of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001 , China |
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| 基金项目： | Hi-Tech Research and Development Program of China （2002AA723011）, 0utstanding Youth Foundation of Heilongjiang Province |
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| 摘 要： | 超燃冲压发动机燃烧室一维稳态跨声速流动方程在临界声速点存在奇异初值问题，现有的基于L’Hospital法则的求解方法在原理上存在较大的初值误差，影响一维稳态跨声速计算的精度。为此，本文提出了一种基于变量代换的改进算法，通过定义新的流动变量W=-Ma^2＋2Ma，构造出了非奇异的一维稳态跨声速流动方程。消除了微分方程的奇异性，有效的解决了一维稳态跨声速流动计算过程中存在的奇异初值问题。
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| 关 键 词： | 超燃冲压发动机 一维分析 跨声速流动 奇异初值问题 |
| 文章编号： | 1000-9360（2005）02-0097-05 |
| 收稿时间： | 2004-09-10 |
| 修稿时间： | 2005-01-31 |
Solution Method for Singular Initial Value Problems of One-dimensional Steady Transonic Flow in a Dual-mode Scramjet |
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| Cui Tao;Yu DaRen;Bao Wen.Solution Method for Singular Initial Value Problems of One-dimensional Steady Transonic Flow in a Dual-mode Scramjet[J].Chinese Journal of Aeronautics,2005,18(2):97-101. |
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| Authors: | Cui Tao;Yu DaRen;Bao Wen |
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| Abstract: | Singular initial value problems arise in solving one-dimensional steady transonic flow of dualmode scramjet. The existing solution method has the problems of large initial value errors in principles. This paper puts forward an improved algorithm based on variable transformation, and constructs a nonsingular one-dimensional steady transonic flow equation by defining a new variable. The improved algorithm can eliminate the singularity of the differential equation, and can solve the singular initial value problems of one-dimensional steady transonic flow of dual-mode scramjet. |
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| Keywords: | scramjet one-dimensional analysis transonic flow singular initial value problem |
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