基于邊界適應的正交曲線網格生成工具在河口海岸流體模擬系統(tǒng)中的實現
發(fā)布時間：2018-09-07 15:21
【摘要】：在河口海岸流體數值模擬中,對于復雜水域邊界的問題需要使用貼體正交網格。本文對生成二維貼體正交網格的基本原理作了討論,采用勢流理論導出的調節(jié)因子,通過求解Poisson方程生成正交曲線網格。著重講述了偏導數的有限差分替代,包括一階偏導數、二階偏導數、二階混合偏導數的差分替代形式,并據此給出了P、Q調節(jié)因子的計算方法和Poisson方程數值求解。文中提出了主區(qū)與挖掘區(qū)、主區(qū)與懸掛區(qū)的概念,并將其應用到復雜區(qū)域的貼體正交網格的生成�；谖④浀腣C++6.0開發(fā)平臺開發(fā)了正交曲線網格生成工具,實現了簡單單連通區(qū)域和復雜多連通區(qū)域的正交曲線網格生成。包括物理域邊界線的輸入、修改和復雜區(qū)域網格的自動生成以及網格加密,并提供了良好的人機交互。
[Abstract]:In the numerical simulation of estuarine and coastal fluids, a body-fitted orthogonal grid is used for complex water boundary problems. In this paper, the basic principle of generating two-dimensional body-fitted orthogonal grids is discussed. The adjustment factors derived from the potential flow theory are used to generate orthogonal curvilinear grids by solving the Poisson equation. The finite-difference substitution of partial derivatives, including first-order partial derivatives and second-order mixed partial derivatives, is emphatically described. Based on this, the calculation method of PhanQ adjustment factor and the numerical solution of Poisson equation are given. In this paper, the concepts of main area and excavation area, main area and suspension area are proposed, and they are applied to the generation of body-fitted orthogonal grids in complex regions. An orthogonal curve grid generation tool is developed based on Microsoft's VC 6.0 platform. The orthogonal curve grid generation is realized for simple single-connected region and complex multi-connected region. It includes the input of the boundary line of physical domain, modification, automatic generation of grid in complex area and mesh encryption, and provides good human-computer interaction.
【學位授予單位】：天津大學
【學位級別】：碩士
【學位授予年份】：2016
【分類號】：TP311.52
[Abstract]:In the numerical simulation of estuarine and coastal fluids, a body-fitted orthogonal grid is used for complex water boundary problems. In this paper, the basic principle of generating two-dimensional body-fitted orthogonal grids is discussed. The adjustment factors derived from the potential flow theory are used to generate orthogonal curvilinear grids by solving the Poisson equation. The finite-difference substitution of partial derivatives, including first-order partial derivatives and second-order mixed partial derivatives, is emphatically described. Based on this, the calculation method of PhanQ adjustment factor and the numerical solution of Poisson equation are given. In this paper, the concepts of main area and excavation area, main area and suspension area are proposed, and they are applied to the generation of body-fitted orthogonal grids in complex regions. An orthogonal curve grid generation tool is developed based on Microsoft's VC 6.0 platform. The orthogonal curve grid generation is realized for simple single-connected region and complex multi-connected region. It includes the input of the boundary line of physical domain, modification, automatic generation of grid in complex area and mesh encryption, and provides good human-computer interaction.
【學位授予單位】：天津大學
【學位級別】：碩士
【學位授予年份】：2016
【分類號】：TP311.52
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