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標題: | 結合非結構化邊界網格之平滑粒子水動力法 Smoothed Particle Hydrodynamics Method with Unstructured Mesh Boundary Condition |
作者: | Wei-Yi Tseng 曾薇頤 |
指導教授: | 郭真祥 |
關鍵字: | 平滑粒子水動力法,無網格法,粒子法,邊界法,非結構化邊界網格, SPH,Smoothed Particle Hydrodynamics Method,SPHysics,MeshFree Method,Particle Method,Boundary Method,Unstructured Mesh Boundary, |
出版年 : | 2011 |
學位: | 碩士 |
摘要: | 本研究旨以將非結構化邊界網格結合入平滑粒子水動力法。平滑水動粒子法(Smoothed Particle Hydrodynamics Method,SPH)為無網格之流體力學數值模擬方法,至今已有三十多年的研究,且目前亦已有應用SPH法為核心的開放程式SPHysics可供使用,因此我們以SPH法為主要研究核心。SPH法以流體力學控制方程式為基礎,將連續之流體模擬為一系列離散之粒子模型,再使用核函數將離散的粒子模型近似出連續性。此方式易於造型流體計算域,卻受限於核函數近似法,而不善於處理邊界問題,且目前現有的邊界法多為粒子式邊界,在邊界粒子間存在間隔,而使流體粒子有機會於間隔中穿越邊界。本論文提出將非結構化邊界網格結合加入SPH法中,於計算域中之流體使用粒子模型,於邊界上使用連續之非結構化網格模型,結合邊界排斥力模型與核函數的概念,使用網格記錄網格之大小及邊界的法向方向,取用網格的優點,結合粒子法本身的優勢,以期改善SPH法中的邊界問題,使SPH法可以適用的問題更多元化。同時移植SPHysics程式至C++語言作業環境,結合前處理程式加速模型建立、後處理程式提供視覺化效果,使之能更有彈性建立及處理分析數值模型。 This thesis is about combining unstructured mesh boundary method into Smoothed Particle Hydrodynamics Method. Smoothed Particle Hydrodynamics Method, also known as SPH, is a mesh-less method of fluid dynamics methods. It has been researched for over 30 years, and there is a open-resources program that uses SPH, SPHysics. Therefore we choose to use SPH as our researching tools. SPH uses conservation laws as its governing equations. As a particle method, SPH uses a set of discrete particles to define the model, and then use a kernel function to approximate continuity. This way of dealing question is easy to model fluid domains. But also because the disadvantages of kernel functions, SPH can not deal with boundary problems well. Nowadays boundary methods are based on particle boundary methods. Particle boundaries may have intervals between boundary particles. This may cause fluid particles pass through the boundaries. Therefore we bring out this ideal of using unstructured mesh boundaries into SPH. We use particles to represent fluid, but use unstructured meshes on the boundaries. Combining the ideal of boundary repulsive force method and kernel function, we use unstructured meshes to record the size and normal vector of meshes. With this thought, we hope to improve the boundary problem in SPH, and let SPH can be applied to more far-reaching models. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/66716 |
全文授權: | 有償授權 |
顯示於系所單位: | 工程科學及海洋工程學系 |
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