| 赝势函数模型及其在任意曲线坐标下的表达式 |
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| 引用本文： | 沈远胜,刘宗明,孙杰璟. 赝势函数模型及其在任意曲线坐标下的表达式[J]. 济南大学学报(自然科学版), 2005, 19(4): 341-344 |
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| 作者姓名： | 沈远胜 刘宗明 孙杰璟 |
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| 作者单位： | 济南大学,材料科学与工程学院,山东,济南,250022 |
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| 摘 要： | 运用缩项法，从最一般的旋度定义出发，推导出了一种能解决3维跨声速有旋流动的新的数学模型——赝势函数数学模型，并运用张量分析和雅可比变换系统地推导出了全3维有旋流动在旋转的任意曲线坐标系下的赝势函数方程通用形式。推导出了笛卡尔直角坐标系下的赝势函数具体形式，从而为全3维有旋流动(特别是含激波的跨声速流动)提供了一个简单的数学形式和理论基础。
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| 关 键 词： | 有旋流动 跨声速流动 赝势函数 涡势函数 |
| 文章编号： | 1671-3559(2005)04-0341-04 |
| 修稿时间： | 2004-09-13 |
Pseudo-potential Function Model and Its Formulation in Arbitrary Curve Coordinate |
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| Shen Yuan-sheng,LIU Zong-ming,SUN Jie-jing. Pseudo-potential Function Model and Its Formulation in Arbitrary Curve Coordinate[J]. Journal of Jinan University(Science & Technology), 2005, 19(4): 341-344 |
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| Authors: | Shen Yuan-sheng LIU Zong-ming SUN Jie-jing |
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| Abstract: | The pseudo-potential function mathematical model derived by means of the term-condensing on the basis of curl definition is developed,by which the flow field for three dimension transonic flow with curl can be decided.The common form for pseudo-potential function about three-dimension flow with curl in arbitrary curve coordinate is got by using two different sorts of method-tensor analysis and Jacobian conversion.The concrete form for pseudo-potential function in Cartesian rectangular coordinates.So it provides a simple mathematical form and theoretical basis for three dimension flow with curl (specially aimed at transonic flow with shock). |
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| Keywords: | curl flow transonic flow pseudo-potential function vortex-potential function |
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