| 热玻璃冷却过程中温度场的数学模型及其仿真 |
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| 引用本文： | 张传林,范德辉,陈辉,王秀风. 热玻璃冷却过程中温度场的数学模型及其仿真[J]. 工程数学学报, 2006, 23(3): 419-429 |
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| 作者姓名： | 张传林 范德辉 陈辉 王秀风 |
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| 作者单位： | 暨南大学数学系,广州,510632;暨南大学数学系,广州,510632;暨南大学数学系,广州,510632;暨南大学数学系,广州,510632 |
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| 基金项目： | 广东省科技计划重大项目(2004A10303003)：教育部留学回国人员科研启动基金项目 |
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| 摘 要： | 运用二尺度分析方法,建立了扩散逼近方法,该方法对实际3维问题的计算表明特别有效并能达到足够的精度。实际计算例子表明,用二尺度分析方法建立的扩散逼近方法与射线跟踪法相比精度接近、快50倍、内存仅为它们所占的50分之一,而工业上广泛使用的Rosseland逼近方法给出误差很大甚至完全错误的结果。
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| 关 键 词： | 多尺度分析 扩散逼近方法 温度场 数值仿真 |
| 文章编号： | 1005-3085(2006)03-0419-11 |
| 收稿时间： | 2003-07-20 |
| 修稿时间： | 2003-07-20 |
The Mathematical Model and Simulation of the Temperature Field of Hot Glass Cooling |
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| ZHANG Chuan-lin,FAN De-hui,CHEN Hui,WANG Xiu-feng. The Mathematical Model and Simulation of the Temperature Field of Hot Glass Cooling[J]. Chinese Journal of Engineering Mathematics, 2006, 23(3): 419-429 |
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| Authors: | ZHANG Chuan-lin FAN De-hui CHEN Hui WANG Xiu-feng |
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| Affiliation: | Department of Mathematics, Jinan University, Guangzhou 510632 |
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| Abstract: | A diffusion approximation method has been constructed by using the two-scale analysis. Some computational experiments show the method is efficient and sufficiently accurate for practical three-dimensional problems.Specific example indicated that the method is nearly as accurate and 50 times faster than the ray-tracing method and uses only 1/50 of the memory.Rosseland approximation method used by many industrial applications generated bigger errors and wrong results. |
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| Keywords: | multi-scale analysis diffusion approximation method temperature field numerical simulation |
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