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研究生: 林韋辰
Lin, Wei-Chen
論文名稱: 多任務深度學習方法於三維機翼流場與氣動係數預測之研究
A Study on Multi-Task Deep Learning Methods for Three-Dimensional Wing Flow Field and Aerodynamic Coefficient Prediction
指導教授: 呂宗行
Leu, Tzong-Shyng
學位類別: 碩士
Master
系所名稱: 工學院 - 航空太空工程學系
Department of Aeronautics & Astronautics
論文出版年: 2026
畢業學年度: 114
語文別: 中文
論文頁數: 169
中文關鍵詞: 深度學習次音速流場三維機翼氣動代理模型多任務學習
外文關鍵詞: Deep Learning, Subsonic Flow Field, Three-Dimensional Wing, Aerodynamic Surrogate Model, Multi-Task Learning
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  • 計算流體力學(Computational Fluid Dynamics, CFD)透過數值方法離散並求解連續方程式、動量方程式與能量方程式,以獲得密度、速度與壓力等物理量之數值解,進而分析流體運動行為及其與固體邊界之交互作用。其流程包含前處理(幾何建模、網格生成、物理模型與邊界條件設定)、數值求解與後處理等階段。隨著流場問題複雜度提升(如動態網格與高階紊流模型之導入)及預測物理量種類增加,前後處理所需時間與計算資源成本顯著提高。於外型最佳化設計過程中,頻繁之設計變更將反覆產生成本負擔,使快速性能評估成為一項具挑戰性之課題,因此如何降低計算成本並提升設計效率已成為工業界與學術界關注之重要議題。
    近年來圖形運算單元(Graphics Processing Unit, GPU)運算能力之提升、深度學習演算法與網路架構之發展,以及開源工具之普及,促使深度學習技術於工程領域快速成長,並在多項應用中展現成效。例如,深度強化學習(Deep Reinforcement Learning, DRL)已成功應用於機器人控制,而卷積神經網路(Convolutional Neural Networks, CNN)則廣泛應用於醫學影像分析與工業缺陷檢測。在空氣動力學領域深度學習可建構 CFD 代理模型(surrogate model),於數秒內預測模擬結果,提供研究人員作為設計評估依據,顯著加速設計流程。
    本研究以次音速三維機翼流場為研究對象,建立涵蓋不同馬赫數(M_{infty })、攻角(α)與前緣後掠角({Lambda }_{LE})之資料庫,資料內容包含升力係數、阻力係數、表面壓力分佈及各截面流場物理量。基於此資料集,本研究對深度神經網路架構進行改良,並導入多任務學習(Multi-task learning, MTL),同步預測多項氣動任務。透過訓練與驗證程序,評估不同神經網路架構之預測準確度與泛化能力,最終比較各模型於三維機翼流場之預測表現,以驗證其於工程設計加速應用之可行性。

    This study investigates the application of Multi-Task Learning (MTL) to subsonic three-dimensional wing flow-field prediction. Single-Task Learning (STL) and MTL architectures were developed for predicting surface pressure distributions, sectional flow fields, and aerodynamic coefficients, and their performances were systematically compared.
    The proposed framework employs dual encoders to extract multi-view features and utilizes hard parameter sharing within a shared latent space. Task-specific outputs are generated through independent decoders and multilayer perceptron. Compared with STL models, the MTL framework reduces GPU memory consumption by 35.7% and training time by 28.2%. Although a slight reduction in prediction accuracy is observed, MTL exhibits improved robustness and, under certain test conditions, achieves superior predictive performance.
    These results demonstrate that effective knowledge sharing can be achieved among aerodynamic tasks and that the proposed MTL framework provides a favorable balance between accuracy, robustness, and computational efficiency, highlighting its potential for aerodynamic analysis and engineering design optimization.

    摘要 ii Abstract iv 致謝 xxiii 目錄 xxiv 表目錄 xxvi 圖目錄 xxviii 符號索引 xxxvii 第一章、 緒論 1 1.1 前言 1 1.2 文獻回顧 4 1.2.1 深度學習 4 1.2.2 多任務學習(Multi-task learning, MTL) 17 1.3 研究動機 26 第二章、 研究方法 29 2.1 外型幾何建立 29 2.2 計算流體力學模擬設定 31 2.3 網格繪製與獨立性測試 35 2.4 模擬資料庫建置 42 2.5 張量資料擷取 45 2.6 資料正規化(Normalization) 52 第三章、神經網路架構設計與訓練 54 3.1 神經網路基礎與學習機制 54 3.2 UNet預測表面壓力分佈 59 3.3 DF-UNet (Dimensional Feature U-Net)預測截面物理場 69 3.4 串聯編碼器與多層感知器預測升阻力係數 79 3.5 多任務學習(Multi-task learning)預測全任務 87 第四章、結果與討論 104 4.1 單任務與多任務學習架構於表面壓力分佈預測對比 104 4.2 單任務與多任務學習架構於截面物理場預測對比 108 4.3 單任務與多任務學習架構於升阻力係數預測對比 118 4.4 單任務與多任務學習架構硬體與時間成本對比 121 第五章、結論與未來工作 124 參考資料 126

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