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基于Delaunay三角剖分的地表平均温度模拟
引用本文:黄中展,蔡钦镒,张胜祥.基于Delaunay三角剖分的地表平均温度模拟[J].数学的实践与认识,2017(8):100-106.
作者姓名:黄中展  蔡钦镒  张胜祥
作者单位:华南农业大学数学与信息学院,广东广州,510642
基金项目:2014广东省高等教育教学改革项目 “基于数学建模的应用型创新人才培养模式研究”(GDJG20141038),2014年度华南农业大学教改重点项目(JG14006)
摘    要:利用Delaunay三角网对目标区域进行剖分,在对地表温度进行高度插值后,运用二重积分的思想建立了基于Delaunayr三角剖分的地表平均温度测量模型.同时以南极地表平均温度的测量为例,将67个自动气象地表台站、46个气象地表台站以及56个高空气象观测站的加权平均温度与地表平均温度的数据进行分析,得到南极2015全年地表平均温度均在-8℃以下,最低温约为-20℃,符合南极大陆地表温度的实际情况.

关 键 词:地表平均温度模拟  Delaunay三角剖分  分段线性插值

The Average Earth Land Surface Temperature Simulation Based on Delaunay Triangulating
HUANG Zhong-zhan,CAI Qin-yi,ZHANG Sheng-xiang.The Average Earth Land Surface Temperature Simulation Based on Delaunay Triangulating[J].Mathematics in Practice and Theory,2017(8):100-106.
Authors:HUANG Zhong-zhan  CAI Qin-yi  ZHANG Sheng-xiang
Abstract:We use Delaunay triangulation on the target region partition.After height interpolation on the surface temperature,we establish the surface average temperature measurement model based on the idea of double integral and Delaunay triangulation.At the same time,take the measurement of the surface average temperature in Antarctic as an example,we analyze the weighted average temperature and average surface temperature of 26 Upper air stations,67 surface aws stations,and 46 surface stations,and we draw a conclusion that the annual average surface temperature in Antarctic in 2015 is below-8 ℃,the lowest temperature is about-20 ℃,which are in accordance with the actual situation of the surface temperature in Antarctic.
Keywords:the average surface temperature simulation  delaunay triangulation  piecewise linear interpolation
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