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。
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.
出处
《工程数学学报》
CSCD
北大核心
2006年第3期419-429,共11页
Chinese Journal of Engineering Mathematics
基金
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
关键词
多尺度分析
扩散逼近方法
温度场
数值仿真
multi-scale analysis
diffusion approximation method
temperature field
numerical simulation
