本文進行二維圓形投射體於靜止流場中拋射飛行之研究，計算圓柱投射體於流體中飛行所帶動之流場，並從流場直接算出作用於投射體之壓力與摩擦力，用這些阻力搭配牛頓第二運動定律，算出投射體於靜止流場中飛行時之真正軌跡，並且探討發射初速度、發射時之旋轉、以及投射體與流體之密度差對飛行軌跡之影響。本文將會使用隱式虛擬邊界法搭配非交錯性直角座標網格系統來進行流體力學計算，並且使用補綴網格來減少計算量。

We do the research of the free flight of a two dimensional circular projectile in a quiescent fluid. Calculate the pressure drag and form drag of the projectile, and use the drag with Newton’s second law to find the real projection trajectory of projectile in quiescent fluid. We also investigate how the initial speed, the initial rotation speed, and the density of projectile influences the projection trajectory. We use the implicit virtual boundary method with non-staggered Cartesian grid system and patch grid to calculate and reduce the calculating time.

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