本研究將提出一實用簡單且計算精確,並以卡氏網格求解任意幾何邊界流場之數值方法;使用穴流當測試流場來驗證分步法,並利用Wannier Flow作為測試流場來驗證內嵌邊界法。本文數值方法的精確性,將藉由流過圓柱之渦漩逸出流場探討。以內嵌邊界法計算圓柱柱體下游渦漩逸出流場並探討特性,包括渦漩逸出頻率,及作用在柱體上反覆震盪的昇力及阻力,並且與過去將流體與結構物區分作法下的數值結果,以及前人的實驗值廣泛比對探討,研究內嵌邊界法的流場計算準確性。接著探討流過具攻角之橢圓柱體流場及流過圓柱抑制渦漩逸出之流場,目的是要研究利用控制圓柱來抑制下游渦流的流場行為,本文採用分步法配合內嵌邊界法數值解析一均勻流流經兩不同直徑的圓柱流場,來測試抑制渦流逸出的問題,根據現有的數值結果發現試驗運用了合適的方法且得到令人滿意的結果。
The study will propose a practical calculation numerical method that is simple and accurate, calculate an arbitrary geometric border flow with Nested Cartesian grid. Cavity Flow is investigated to verify Fractional Step Method, and Wannier Flow to Immersed Boundary Method. The accuracy of numerical methods in this paper can be discussed by studying the flow through the cylindrical vortex shedding. Further, we discuss the characteristics of suppression of the vortex shedding flow acting in downstream cylinder flow field, including vortex shedding frequency, and the drag force and lift force repeated shocks acting on the cylinder, by using Immersed Boundary Method. Then, the accuracy will be investigated by comparing and discussing the numerical results solved by distinguishing between the fluid and the structure in the flow, and those from results of experiments in the past. Next the discussion in this study, about an ellipse with an angle of attack and two circular cylinders with different diameters in the flow, the aim of this study is investigated for the ability of the present numerical method by solving the suppression of the vortex shedding flow behind the two-cylinder system which was kind of difficult to reach by a Cartesian grid method. In this study, the suppression of the vortex shedding flow is tested to solve a uniform flow past through two different diameter cylindrical in the flow field with Fractional Step Method and Immersed Boundary Method.The numerical method which we investigated is showed that the results of the problem is appropriable in other literatures.
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