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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
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dc.contributor.advisor | 黃美嬌(Mei-Jiau Huang) | |
dc.contributor.author | Kuan-Chung Su | en |
dc.contributor.author | 蘇冠中 | zh_TW |
dc.date.accessioned | 2021-06-15T11:10:13Z | - |
dc.date.available | 2022-02-08 | |
dc.date.copyright | 2017-02-08 | |
dc.date.issued | 2016 | |
dc.date.submitted | 2016-09-29 | |
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dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/48847 | - |
dc.description.abstract | 本論文主要開發一全頻蒙地卡羅法(MC)數值工具,嘗試將電子蒙地卡羅模擬常用的自我散射法應用到聲子流上,並與傳統的固定時間法比較準確性及運算效率。研究發現在同樣準確度下,自我散射法-各自散射運算效率最佳、平行化效果也最佳。
在模擬聲子傳輸中,使用實驗量測之材料色散關係,聲子散射機制使用Holland的經驗方程式;同時採用固定溫度邊界條件來產生非平衡系統,以利熱傳導係數之模擬。 研究結果顯示模擬過程中重設聲子性質時,應分別依聲子發生事件之機率為比例進行聲子性質的重新設定。當聲子在材料中發生本質散射時,當以散射頻率當權重。當聲子發生邊界散射時,當以群速及反射角餘弦值為權重。而當每個時步結束時,為了滿足能量守恆,而需增加聲子時,須以該網格溫度下平衡分佈函數為依據。最後鍺塊材熱傳導係數之模擬結果符合理論值,而當模擬材料尺寸夠大時,暫態熱傳情形與傅立葉定律模擬結果相近。 | zh_TW |
dc.description.abstract | This work successfully developed a full-spectrum simulation tool for phonon flow. The phonon Boltzmann transport equation is solved by both the constant-time technique and the self-scattering technique (SST). Accurate methods for resetting phonons properties after various scattering events are proposed and investigated. The research results show the SST method combined with the individual gamma skill performs best when both accuracy and efficiency are considered. The accuracy of the proposed simulation tool is confirmed through a series of tests, including equilibrium and non-equilibrium systems, steady and transient systems. The simulated thermal conductivities agree well with the theoretical predictions. Ballistic behaviors of phonons are observed when the system size is small relative to the phonon mean free path, resulting in smaller heat transfer rate at early times compared to the solution of the traditional thermal diffusion equation. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T11:10:13Z (GMT). No. of bitstreams: 1 ntu-105-R03522402-1.pdf: 2155329 bytes, checksum: 7e13f514cd056bc46495ec0594497970 (MD5) Previous issue date: 2016 | en |
dc.description.tableofcontents | 口試委員審定書.............................................................................................................I
致謝...............................................................................................................................II 中文摘要 ........................................................................................................................ I Abstract ....................................................................................................................... IV 表目錄 ........................................................................................................................ VII 圖目錄 ....................................................................................................................... VIII 第一章緒論 ................................................................................................................ 1 1-1 文獻回顧 ................................................................................................ 1 1-2 研究動機及目的 .................................................................................... 4 1-3 論文架構 ................................................................................................ 5 第二章基本理論........................................................................................................ 6 2-1 聲子波茲曼傳輸方程式 ................................................................ 6 2-2 材料色散關係 ................................................................................ 7 2-3 聲子散射機制 ................................................................................ 7 2-3-1 三聲子散射(Three-phonon scattering process) .......................... 8 2-3-2 雜質散射 ..................................................................................... 9 2-3-3 邊界散射 ................................................................................... 10 第三章全頻聲子蒙地卡羅法 ................................................................................. 13 3-1 材料性質表 .................................................................................. 13 3-2 聲子挑選方法 .............................................................................. 18 3-3 其他模擬條件 .............................................................................. 22 3-3-1 網格設置 ................................................................................... 22 3-3-2 初始化條件 ............................................................................... 23 3-3-3 邊界條件 ................................................................................... 24 3-3-4 能量守恆及網格溫度更新 ....................................................... 25 3-4 聲子飄移方式 .............................................................................. 26 3-4-1 固定時間法(Constant-Time Technique) ................................... 26 3-4-2 自我散射法-固定散射(Self Scattering Technique-Constant Gamma)……………………………………………………………....27 3-4-3 自我散射法-各自散射(Self Scattering Technique-Individual Gamma).……………………………………………………………...29 3-4-4 散射機制的挑選 ....................................................................... 29 3-5 主程式流程與平行化 .................................................................. 30 第四章程式驗證與效率比較 ............................................................................... 34 4-1 聲子飄移方法比較 ...................................................................... 34 4-1-1準確性與效率比較 .................................................................... 34 4-1-2平行化效率比較 ........................................................................ 39 4-2 平衡系統 ...................................................................................... 46 4-2-1週期性邊界系統 ........................................................................ 46 4-2-2絕熱粗糙邊界系統 .................................................................... 48 4-3 非平衡系統 .................................................................................. 52 4-3-1固定邊界溫度系統 .................................................................... 52 4-3-2暫態熱擴散系統 ........................................................................ 58 第五章結論與未來展望.......................................................................................... 63 5-1 結論 ...................................................................................................... 63 5-2 未來展望 .............................................................................................. 64 參考文獻 ...................................................................................................................... 66 附錄A .......................................................................................................................... 69 | |
dc.language.iso | zh-TW | |
dc.title | 全頻蒙地卡羅材料熱傳模擬工具之開發與平行化 | zh_TW |
dc.title | Development of a Parallel full-spectrum Monte-Carlo
simulation tool for phonon flow | en |
dc.type | Thesis | |
dc.date.schoolyear | 105-1 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 吳宗信,戴璽恆 | |
dc.subject.keyword | 全頻,蒙地卡羅法,聲子傳輸,自我散射法,熱傳導係數, | zh_TW |
dc.subject.keyword | Monte-Carlo simulation,phonon transport,Self-Scattering Technique,thermal conductivity, | en |
dc.relation.page | 69 | |
dc.identifier.doi | 10.6342/NTU201603620 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2016-09-29 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 機械工程學研究所 | zh_TW |
顯示於系所單位: | 機械工程學系 |
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