【摘要】：在河口海岸流體數(shù)值模擬中,對于復(fù)雜水域邊界的問題需要使用貼體正交網(wǎng)格。本文對生成二維貼體正交網(wǎng)格的基本原理作了討論,采用勢流理論導(dǎo)出的調(diào)節(jié)因子,通過求解Poisson方程生成正交曲線網(wǎng)格。著重講述了偏導(dǎo)數(shù)的有限差分替代,包括一階偏導(dǎo)數(shù)、二階偏導(dǎo)數(shù)、二階混合偏導(dǎo)數(shù)的差分替代形式,并據(jù)此給出了P、Q調(diào)節(jié)因子的計(jì)算方法和Poisson方程數(shù)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(yīng)用到復(fù)雜區(qū)域的貼體正交網(wǎng)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(wǎng)格生成工具,實(shí)現(xiàn)了簡單單連通區(qū)域和復(fù)雜多連通區(qū)域的正交曲線網(wǎng)格生成。包括物理域邊界線的輸入、修改和復(fù)雜區(qū)域網(wǎng)格的自動生成以及網(wǎng)格加密,并提供了良好的人機(jī)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(xué)位授予單位】：天津大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2016
【分類號】：TP311.52

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