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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 許武榮 | |
| dc.contributor.author | Ming-En Hsieh | en |
| dc.contributor.author | 謝銘恩 | zh_TW |
| dc.date.accessioned | 2021-06-13T06:18:15Z | - |
| dc.date.available | 2006-02-08 | |
| dc.date.copyright | 2006-02-08 | |
| dc.date.issued | 2006 | |
| dc.date.submitted | 2006-01-26 | |
| dc.identifier.citation | 張書銘，2005：地形對颮線發展影響之數值模擬研究。碩士論文，國立台灣大學大氣科學研究所。
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/34612 | - |
| dc.description.abstract | 本文發展一適用於交錯網格模式的單調半拉格朗日法，進行理想個案測試驗證其精確度，並用於台大-普度三維非靜力模式進行三維非靜力線性山岳波、熱胞對流以及二維與三維颮線模擬實驗。在一至三維的理想個案測試中，單調半拉格朗日法均顯示其高精確度。在山岳波與熱胞的測試中，使用單調半拉格朗日法的模擬結果，相較於原本使用的有限差分法，其結果較為無雜訊而且形狀維持較好。加上單調的勻滑格式將使模式更為穩定無雜訊。
使用單調半拉格朗日法的二維颮線模擬，整體來說較有限差分平流法的結果為佳，同時兩者均能掌握典型的颮線二維結構。三維颮線模擬使用1 km與2 km兩種解析度進行模擬，除了平均場能夠顯示出二維結構，在初始擾動具y方向不均勻性的情況下，個別對流胞的流場非常複雜且會彼此交互作用。即使環境有利於前移胞發展，後移胞仍可能存在並發展，後移胞對於前移胞的效應為減少後方內流。另外三維颮線的平均最大上升速度較二維颮線為低，但個別對流胞的上升速度則較二維為強。而改變解析度最主要的影響為，除了冷池之外的物理量變化振幅均下降。同時低解析度模擬的颮線結構較不明顯，主對流區與冷池的移行速率也較慢。此外，低解析度不利較小尺度的現象發展，因此在低解析度模擬中y方向的對流胞數目較少，水平範圍較廣。 | zh_TW |
| dc.description.provenance | Made available in DSpace on 2021-06-13T06:18:15Z (GMT). No. of bitstreams: 1 ntu-95-D90229002-1.pdf: 23076586 bytes, checksum: 5d07c54ddc3db66f7dfa229d8b74000b (MD5) Previous issue date: 2006 | en |
| dc.description.tableofcontents | 摘要…...……………………………………………………………...….i
誌謝………………………...…………………………………..ii 目錄……………………………………………………...…….iii 表說明………………………………………………………....vi 圖說明……………………………..……………………….....vii 第一章 前言………………………..………………...…...………….1 1.1 研究背景…………………………………………...…………1 1.2 研究動機與目的…………………………………………...…6 第二章 半拉格朗日法的文獻回顧……………………………...8 2.1 半拉格朗日法原理…………………………………………...8 2.2 應用於模式的一般考慮……………………………………...9 2.3 軌跡計算與內插策略………………...……………………....9 2.4 內插精確度………………………………………………….14 2.5 平流方程與其他過程的合成……………………………….14 第三章 單調內插格式…………………………………….……...22 3.1 被平流量特性的維持………………………………………...22 3.2 新的單調內插格式………………………………………...…25 3.3 單調格式的理想數值實驗………………………………...…26 3.3.1一維正弦波，均勻風場………………………………….27 3.3.2一維方形波，均勻風場………………………………….27 3.3.3二維方形波，旋轉風場………………………………….28 3.3.4三維方形波，旋轉風場………………………………….29 3.3.5二維圓錐，變形場……………………………………….29 3.4 單調勻滑格式……………………………………………..….31 第四章 使用單調半拉格朗日法於台大-普度模式的驗證 .51 4.1 台大-普度非靜力模式簡介………………………………..…51 4.2 三維非靜力線性山岳波實驗……………………….……..…51 4.2.1 實驗設定…………………………………………………52 4.2.2 討論………………………………………………………52 4.3 熱胞對流實驗………………………………………...………54 4.3.1 實驗設定…………………………………………………54 4.3.2 控制個案討論……………………………………………54 4.3.3 使用不同平流方法的比較………………………………55 4.3.4 與高解析度模擬的比較…………………………………56 4.3.5 使用不同勻滑格式的比較………………………………57 第五章 颮線個案模擬……………………………………....……76 5.1 二維颮線模擬…………………………………………...……76 5.1.1模式設定與初始條件……………………………....….…76 5.1.2 半拉格朗日法模擬結果…………………...……....….…78 5.1.3 不同平流方法模擬比較……………………...…....….…79 5.2 三維颮線模擬………...…..…………………………….….…81 5.2.1 模式設定與初始條件…....…………………………..…81 5.2.2 水平格距1 km的模擬結果…....……………………..…82 5.2.3 不同水平格距模擬結果的比較…....……………………84 第六章 結論……………………………………...……………..…124 附錄……………………………………...………………………....…127 A 台大-普度非靜力模式介紹...……………………….……..…127 A.1 模式座標系統...…………………………………….....…127 A.2 模式方程組...……………………………………….....…128 A.3 準可壓縮條件...…………………………………….....…130 A.4 有限差分法...………………………..………………...…130 A.4.1 平流階段...………………………………..……....…131 A.4.2 高頻波動階段…………………………..…...…....…131 A.4.3 擴散階段…………………………..……………...…131 A.5 雲物理過程………………………………..…..……....…133 A.6 平行化運算………………………………..…..……....…133 A.7 邊界條件………………………………..…..………....…134 B 三維非靜力線性山岳波解析解……………………………...137 參考文獻………………………………..…..………………..…...…139 | |
| dc.language.iso | zh-TW | |
| dc.subject | 半拉格朗日法 | zh_TW |
| dc.subject | 單調格式 | zh_TW |
| dc.subject | 數值模擬 | zh_TW |
| dc.subject | 颮線 | zh_TW |
| dc.subject | monotonic scheme | en |
| dc.subject | semi-Lagrangian method | en |
| dc.subject | numerical simulation | en |
| dc.subject | squall line | en |
| dc.title | 單調半拉格朗日平流格式在三維非靜力模式及在颮線模擬上的應用 | zh_TW |
| dc.type | Thesis | |
| dc.date.schoolyear | 94-1 | |
| dc.description.degree | 博士 | |
| dc.contributor.oralexamcommittee | 吳清吉,郭鴻基,柯文雄,黃清勇,楊明仁,林沛練 | |
| dc.subject.keyword | 半拉格朗日法,單調格式,數值模擬,颮線, | zh_TW |
| dc.subject.keyword | semi-Lagrangian method,monotonic scheme,numerical simulation,squall line, | en |
| dc.relation.page | 146 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2006-01-27 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 大氣科學研究所 | zh_TW |
| 顯示於系所單位： | 大氣科學系 | |
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