臺灣大學: 機械工程學研究所潘國隆尹冠塵Yin, Guan-ChenGuan-ChenYin2013-04-012018-06-282013-04-012018-06-282010http://ntur.lib.ntu.edu.tw//handle/246246/256309本文將探討平行計算將面追蹤法應用於模擬雙液滴碰撞。數值方法為有限差分法，將其應用於二維問題中較密之網格，並以黑白點間隔的過度鬆弛法（red-black SOR method），配合計算區域切割法將其分散到多個處理器做平行運算，於國網中心之FORMOSA 2電腦上執行。在本研究中，使用了許多種平行的方法，包括MPI、OpenMP以及混合以上兩種方式。 我們發現了當矩陣大小較小的時候，OpenMP由於在記憶體間傳輸的速度較快，因此可以提供較好的平行效率；而當矩陣大小超過某個臨界的範圍之後，由於資料通訊時間的比例下降，因此MPI平行方式將會達到較好的平行效率。而混合兩者的計算方式，在每個節點上的矩陣消耗的記憶體大小小於快取記憶體的大小，才會顯效出良好的效率。Parallel computation was implemented for multiphase flow simulation of droplet collision using a Front-Tracking method. Various parallel interfaces were tested, i.e., MPI, OpenMP, and a hybrid of them. It was found that when the array size was small, OpenMP provided a more efficient platform for the simulation because of faster communication through the hardware memories. If the array size became larger than a critical magnitude, however, MPI could facilitate the computation due to outweighing operation of CPU instead of interfacial communication. As a consequence, the coupled algorithm using both platforms would be effective as the array size was moderately large.4568839 bytesapplication/pdfen-US平行處理面追蹤法MPIOpenMP液滴碰撞Parallel computing, MPIFront-TrackingDroplets collisionthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/256309/1/ntu-99-R96522401-1.pdf