| 引用本文: | 徐黎平.散度、旋度和梯度在共同模式上的统一定义及其在一般坐标系中的应用.[J].国防科技大学学报,1990,12(3):79-85.[点击复制] |
| Xu Liping.Unified Definition of Divergence，Curl and Gradient Based on a Common Model and It's Application in a General Coordinate System[J].Journal of National University of Defense Technology,1990,12(3):79-85[点击复制] |
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| 散度、旋度和梯度在共同模式上的统一定义及其在一般坐标系中的应用 |
| 徐黎平 |
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(航天技术系)
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| 摘要: |
| 本文在推广的散度定理的基础上给出了散度、旋度和梯度与坐标无关的统一定义。着重在一般曲线坐标系中利用以三对坐标面为包容面的微元体为共同模式，把散度、旋度和梯度统一表示为某一微分量的极限值，从而直接导出了张量分析中这三种量的熟知的表达式. |
| 关键词: 张量分析，散度，梯度，旋度，统一定义 |
| DOI： |
| 投稿日期：1988-11-01 |
| 基金项目: |
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| Unified Definition of Divergence，Curl and Gradient Based on a Common Model and It's Application in a General Coordinate System |
| Xu Liping |
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(Department of Aerospace Technology)
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| Abstract: |
| In this paper，the unified definition of divergence，cur1 and gradient independent of the coordinate system is given by the extended divergence theorem. Stressed on using a common model which is a volume element enclosed by the three pairs of coordinate surfaces，a11 the divergence，curl and gradient are denoted uniformly in the form of the limiting value of a differential quantity. So the known expressions of these three quantities in tensor analysis can be derived directly. |
| Keywords: tensor analysis,divergence,gradient,curl,unified definition |
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