| 具有变动边界的过渡面的热传导方程构造法 |
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| 引用本文： | 王烈,叶正麟,石茂.具有变动边界的过渡面的热传导方程构造法[J].计算机工程与应用,2009,45(32):133-136. |
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| 作者姓名： | 王烈 叶正麟 石茂 |
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| 作者单位： | 西北工业大学,理学院,西安,710072 |
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| 基金项目： | 国家自然科学基金（the National Natural Science Foundation of China under Grant No.60671063）;陕西省自然科学基础研究计划（ the Natural Science Research Plan of Shaanxi Province of China under Grant No.2006A02） |
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| 摘 要： | 提出过渡面的热传导方程构造方法。使用热传导方程、初值条件和变动的边界条件,得到过渡面的偏微分方程模型,再利用分离变量法或者数值方法得到模型的解,则方程的像空间就是满足连续性要求的过渡面。数值实验也表明这种方法是可行的、有效的。
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| 关 键 词： | 过渡面 偏微分方程 几何造型 |
| 收稿时间： | 2008-6-24 |
| 修稿时间： | 2008-10-8
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Constructing method of blending surfaces by heat equation with fluctuant boundary |
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| WANG Lie,YE Zheng-lin,SHI Mao.Constructing method of blending surfaces by heat equation with fluctuant boundary[J].Computer Engineering and Applications,2009,45(32):133-136. |
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| Authors: | WANG Lie YE Zheng-lin SHI Mao |
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| Affiliation: | Faculty of Science，Northwestern Polytechnical University，Xi’an 710072，China |
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| Abstract: | The constructing method of blending surfaces by heat equation with fluctuant boundary condition is researched.In different initial condition and fluctuant boundary condition,the representation of heat equation is used,such that the modeling of blending surfaces by heat equation is brought forward.The equation can be resolved by the segregation variable method or the numerical method,then the blending surfaces which satisfy C~0 or C~1 continuation can be achieved by the image space of the equation.The experimental results show that the model is effective and feasible. |
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| Keywords: | blending surfaces partial differential equation geometric modeling |
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