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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 楊照彥 | |
| dc.contributor.author | Su-Yuan Chen | en |
| dc.contributor.author | 陳司原 | zh_TW |
| dc.date.accessioned | 2021-06-07T18:04:07Z | - |
| dc.date.copyright | 2012-08-09 | |
| dc.date.issued | 2012 | |
| dc.date.submitted | 2012-07-27 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/16182 | - |
| dc.description.abstract | 基於Uehling-Uhlenbeck Boltzmann-BGK方程（Uehling-Uhlenbeck Boltzmann Bhatnagar-Gross-Krook Equation）和多鬆弛時間格子波茲曼方法（Multi Relaxation Time Lattice Boltzmann Mathed，MRT-LBM）為基礎的多鬆弛時間半古典格子波茲曼方法。此方法成功地從動力學統御方程式，藉由Hermite多項式與各種氣體動力學近似推導而得到。本文藉由此方法，並以D2Q9格子模型為基礎模擬方腔流流場問題，由多個雷諾數和三種不同的粒子分別遵循Bose-Einstein統計與Fermi-Dirac統計和Maxwell-Boltzmann統計展示了這個方法。模擬結果指出在量子統計中特殊特性的結果。 | zh_TW |
| dc.description.abstract | A Multi Relaxation Time Semiclassical Lattice Boltzmann Method based on the Uehling-Uhlenbeck Boltzmann-BGK equation （Uehling-Uhlenbeck Boltzmann Bhatnagar-Gross-Krook Equation）and Multi Relaxation Time Lattice Boltzmann Method（MRT-LBM）is presented. The method is directly derived by projecting the kinetic governing equation onto the tensor Hermite polynomials and various hydrodynamic approximation orders can be achieved. Simulations of the lid driven cavity flows based on D2Q9 lattice model for several Reynolds numbers and three different particles that obey Bose-Einstein and Fermi-Dirac and Maxwell-Boltzmann statistics are shown to illustrate the method. The results indicate distinct characteristics of the effects of quantum statistics. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-07T18:04:07Z (GMT). No. of bitstreams: 1 ntu-101-R99543074-1.pdf: 5961890 bytes, checksum: 9b75460104f46b853722e92107b7f1ba (MD5) Previous issue date: 2012 | en |
| dc.description.tableofcontents | 中文摘要 I
Abstract II 誌謝…………………………………………………………………………………….III 目錄…………………………………………………………………………………….IV 圖目錄………..……………………………………………………………………….VII 表目錄……………………………….………………………………………………….X 符號…………………………………………...………………………………………..XI 第一章 緒論 1 1-1 格子Boltzmann 法(Lattice Boltzmann Method)簡介 1 1-2 格子Boltzmann 法文獻回顧 2 1-3 本文目的 3 1-4 本文架構 3 第二章 Boltzmann方程式 5 2-1 氣體運動理論(Gas Kinetic Theory) 5 2-2 分布函數(Distribution Function) 7 2-3 Liouville 方程 8 2-4 Boltzmann方程 9 2-5 Boltzmann H定理 11 2-6 Maxwell分布 14 2-7 Boltzmann BGK方程 16 2-8 格子Boltzmann方程與速度模型 17 2-9 平衡態分布函數的Hermite展開 19 第三章 半古典格子Boltzmann法的理論 24 3-1 理想量子氣體平衡態分布函數 24 3-2 半古典格子Boltzmann方程 25 3-3 宏觀物理量的求法 32 3-4 單鬆弛時間Chapman-Enskog分析 33 第四章 多鬆弛時間半古典格子Boltzmann法的理論 37 4-1 Multiple-Relaxation-Time LBE基本原理 37 4-2 使用 D2Q9 模型的多鬆弛時間半古典格子Boltzmann法 41 4-3 多鬆弛時間Chapman-Enskog分析 44 4-4 雙鬆弛時間半古典格子Boltzmann法 51 第五章 基本模型與邊界處理方法 52 5-1 多鬆弛時間格子Boltzmann法 52 5-2 邊界條件 52 5-3 收斂條件與計算流程 55 第六章 模擬結果與討論 56 6-1 方腔流 56 6-2 問題描述 57 6-3 模擬結果分析與討論 59 第七章 結論與展望 94 7-1 結論 94 7-2 展望 95 參考文獻 96 | |
| dc.language.iso | zh-TW | |
| dc.subject | 半古典格子波茲曼方法 | zh_TW |
| dc.subject | 多鬆弛時間 | zh_TW |
| dc.subject | D2Q9格子模型 | zh_TW |
| dc.subject | 方腔流 | zh_TW |
| dc.subject | 格子波茲曼方法 | zh_TW |
| dc.subject | Multi Relaxation Time | en |
| dc.subject | Lattice Boltzmann Method | en |
| dc.subject | Semiclassical Lattice Boltzmann Method | en |
| dc.subject | cavity flows | en |
| dc.subject | D2Q9 lattice model | en |
| dc.title | 多鬆弛時間半古典格子波茲曼法之發展與流場模擬 | zh_TW |
| dc.title | Development of Semiclassical Lattice Boltzmann Method Using Multi Relaxation Time Scheme for Flow Field Simulation | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 100-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 林昭安,林三益,洪立昕 | |
| dc.subject.keyword | 多鬆弛時間,D2Q9格子模型,方腔流,格子波茲曼方法,半古典格子波茲曼方法, | zh_TW |
| dc.subject.keyword | Multi Relaxation Time,D2Q9 lattice model,cavity flows,Semiclassical Lattice Boltzmann Method,Lattice Boltzmann Method, | en |
| dc.relation.page | 100 | |
| dc.rights.note | 未授權 | |
| dc.date.accepted | 2012-07-30 | |
| dc.contributor.author-college | 工學院 | zh_TW |
| dc.contributor.author-dept | 應用力學研究所 | zh_TW |
| 顯示於系所單位： | 應用力學研究所 | |
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