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研究生(外文):Lin Hong-Qiant
論文名稱(外文):The application of trajectory model to terrain following coordinate system
指導教授(外文):Tsuang Ben-Jei
外文關鍵詞:advection-diffusion equationterrain following coordinate systemsecond aerosolstreak lines
  • 被引用被引用:10
  • 點閱點閱:225
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  • 下載下載:36
  • 收藏至我的研究室書目清單書目收藏:0
本研究沿續2000年本實研室發展的空氣污染物垂直擴散模式,以平流擴散方程為理論的基礎,將座標系統由直角座標系統(x,y,z)改為非直角地形座標系統(x,y,z''),推導地面一層和地上十二層的偏微分方程式,來模擬原生性和二次氣膠污染物。將統御偏微分式子以數值插分法整理成對三角矩陣的型式,採L U decomposition method,在Linux工作平台上應用C++程式語言撰寫程式以作反覆的數值計算。
This research follows the vertical-diffusion model of the aerial pollutants , which was developed by our laboratory in year 2000. On the basis of the theory of the advection-diffusion equation , the reference frame is changed from rectangular coordinate system (x,y,z) into terrain following coordinate system (x,y,z''). In that case, we can derive a partial differential equation of the first and the twelfth layers above the ground and use the equation to simulate the primary and second aerosol pollutants.Utilizes finite-difference approximations to the derivatives in the equation to change the differential equation to difference equation, the governing equation can be performed as tridiagonal matrix. Then I introduce in L U decomposition method to the repeat repetitious calculation with C++ programming language on the Linux work station.
Advection term,vertical and horizontal diffusion term,pollutants emitted from stacks of each layer,dry deposition,scavenging,chemical reaction,instantaneous meteorological condition,mixing height,etc. are all taken into consideration in this model. The model is proved empirically by comparing calculated values with the observed values experimented from October 30 to September 6 in year 1999. In those simulation cases, I select two days─Oct.30 and Sep.5, the day is the PM10 episode─of back of high pressure system to make a comparison and discussion. The comparison of the two graphs, the GrADS graph of the streak lines and the contour graph of pollutants, is introduced into model to apparently show the influence hit by the fetal pollutive sources of central Taiwan.
第一章 前言 1-1
1.1研究緣起 1-1
1.2 研究目的及方法 1-2
1.3 研究預期成果 1-3
第二章 文獻回顧 2-1
2.1空品模式之發展與現況 2-1
2.2數值模式的簡介 2-2
2.3順軌跡應用之原理 2-4
2.4地形座標系統 2-5
2.5高斯擴散模式 2-6
2.6二次氣膠的形成 2-8
2.7大氣周界污染樣的採樣分析 2-9
第三章 模式的發展與理論 3-1
3.1 順軌跡模式 3-1
3.2污染物垂直擴散的解析方程 3-3
3.3方向項矩陣係數分離 3-38
3.4擴散係數 3-42
3.4.1垂直擴散係數的決定 3-42
3.4.2對流速度尺度(the convective velocity scale w*) 3-43
3.4.3 X、Y方向擴散係數的決定 3-44
3.4.4其他大氣參數 3-46
第四章 模式的模擬 4-1
4.1 模式執行的流程 4-1
4.2 順軌跡資料的處理 4-10
4.3 重大污染源垂直擴散模擬 4-13
4.4 混合層內氣狀污染物之量測 4-14
第五章 結果與討論 4-1
5.1 模式的驗證 5-1
5.2 案例研究 5-9
第六章 結 論 與 建 議 6-1
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藍詠耀,2000,「順軌跡模式對台電、台化煙囪排放污染物垂直擴散及對風場下風處影響評估」,期末報告, 台中,中興大學環工所。
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