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    Title: 高階上風數值方法及濾波技巧
    Other Titles: A High-Order Upwind Scheme with Filtering Technique
    Authors: 李世鳴;Lee, Shi-min;許文翰;Sheu, W. H. Tony;孟孝智;Meng, Hsiao-Chih
    Contributors: 淡江大學航空太空工程學系
    Keywords: 濾波器;數值方法;上風架構;模擬;截尾誤差消除法Filter;Numerical Method;Upwind Scheme;Simulation;Truncation Error Cancellation
    Date: 1990-11
    Issue Date: 2013-03-22 19:34:46 (UTC+8)
    Publisher: 臺北市 : 中國機械工程學會
    Abstract: 在包括內部高梯度之對流擴散問題中, 應用兩種上風數值方法於隱性連續歐拉(ICE) 求解法。其中非線性對流項分別以混合上風法 (WUD)與高階上風法(QUID)模擬。將二維可壓 縮程式以一維衝擊管問題作初步之驗證。並將 存在於衝擊波及接觸不連續處的高頻振盪以濾 波過程FRAM加以壓制。此外,除考慮無黏滯性 之不連續性捕捉,並對真實具有黏滯性環境加 以研究。最後,對能有效改進精確度之截尾誤 差消除法(TEC)亦以本測試問題加以討論。
    Two upwind schemes are incorporated into the present Implicit Continuous Eulerian (ICE) solution algorithm to study the convection-diffusion problem containing interval large gradient. The nonlinear convection terms are approximated by hybrid upwind scheme (WUD) and higher-order upwind scheme(QUID). The one dimensional shock tube problem is used to validate the developed two dimensional compressible code. The existing high frequency oscillations at the locations of shock and contact discontinuities are further suppressed by a filtering procedure FRAM. In addition to capturing discontinuity over the inviscid environment, the viscosity contribution to the real world is also investigated. The effectiveness of improving accuracy using a Truncation Error Cancellation (TEC) method is also exercised in the present test problem.
    Relation: 第七屆全國機械工程學術研討會論文集(三)=Proceedings of the Seventh National Conference of the Chinese Society of Mechanical Engineering (III), 頁1355-1362
    Appears in Collections:[航空太空工程學系暨研究所] 會議論文

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