本文關(guān)鍵詞：基于Laplace方程的球面正交曲線格網(wǎng)生成方法　出處：《地理與地理信息科學》2016年01期 　論文類型：期刊論文

  更多相關(guān)文章： Laplace方程 球極投影 正交曲線格網(wǎng) Neumann正交化

【摘要】：為克服基于傳統(tǒng)經(jīng)緯度格網(wǎng)的全球海洋及大氣數(shù)值模式產(chǎn)生的極點問題,同時顧及全球格網(wǎng)編碼便捷及信息查詢,該文將立方體球心投影的格網(wǎng)經(jīng)球極投影轉(zhuǎn)換到二維平面區(qū)域,再應用Laplace方程數(shù)值求解生成正交曲線格網(wǎng);然后采用球極逆投影,得到球面上一種新的正交曲線格網(wǎng)。通過與等角球心投影、保角變換兩種球面格網(wǎng)生成方法的結(jié)果相比較,從格網(wǎng)兩邊的長度、單元的面積、正交性等指標進行統(tǒng)計分析,對所生成格網(wǎng)的質(zhì)量進行評價。結(jié)果表明,等角球心投影法生成的格網(wǎng)單元大小較均勻,但正交性不理想;Laplace方程法生成的正交曲線格網(wǎng)稍優(yōu)于保角變換法,可作為應用有限差分方法和有限體積方法的全球海洋及大氣大尺度數(shù)值模擬的基礎(chǔ)格網(wǎng)。
[Abstract]:In order to overcome the pole problem caused by the global oceanic and atmospheric numerical model based on the traditional longitude and latitude grid, the global grid coding is convenient and the information query is taken into account at the same time. In this paper, the grid projected by the spherical center of a cube is transformed into a two-dimensional plane region by the spherical pole projection, and then the orthogonal curve grid is generated by solving the Laplace equation numerically. Then a new orthogonal curvilinear grid on the sphere is obtained by using the spherical polar inverse projection. By comparing with the results of the two methods of generating spherical grid by isobaric spherical center projection, the length of the two sides of the grid is obtained. The area, orthogonality and other indexes of the unit are analyzed statistically, and the quality of the generated grid is evaluated. The results show that the size of the grid elements generated by the isobaric projection method is more uniform, but the orthogonality is not ideal. The orthogonal curvilinear grid generated by the Laplace equation method is slightly superior to the conformal transformation method and can be used as the basic grid for the large-scale numerical simulation of the global ocean and atmosphere using the finite difference method and the finite volume method.
【作者單位】： 南京師范大學虛擬地理環(huán)境教育部重點實驗室;南京師范大學大規(guī)模復雜系統(tǒng)數(shù)值模擬江蘇省重點實驗室;江蘇省地理信息資源開發(fā)與利用協(xié)同創(chuàng)新中心;
【基金】：國家自然科學基金資助項目(41306078)
【分類號】：P208
【正文快照】： 0引言隨著全球氣候逐漸變暖,極端天氣現(xiàn)象發(fā)生的頻率呈升高趨勢,需對全球氣候變化進行及時預測,以便采取可能的措施減小惡劣天氣產(chǎn)生的危害。而這些預測在很大程度上依賴于全球大氣模式、海洋模式的發(fā)展,因此需要構(gòu)建一個理想的全球大氣、海洋數(shù)值模型都適用的網(wǎng)格,以便進一步，

本文編號：1441453