基于边界适应的正交曲线网格生成工具在河口海岸流体模拟系统中的实现
发布时间：2018-09-07 15:21
【摘要】：在河口海岸流体数值模拟中,对于复杂水域边界的问题需要使用贴体正交网格。本文对生成二维贴体正交网格的基本原理作了讨论,采用势流理论导出的调节因子,通过求解Poisson方程生成正交曲线网格。着重讲述了偏导数的有限差分替代,包括一阶偏导数、二阶偏导数、二阶混合偏导数的差分替代形式,并据此给出了P、Q调节因子的计算方法和Poisson方程数值求解。文中提出了主区与挖掘区、主区与悬挂区的概念,并将其应用到复杂区域的贴体正交网格的生成。基于微软的VC++6.0开发平台开发了正交曲线网格生成工具,实现了简单单连通区域和复杂多连通区域的正交曲线网格生成。包括物理域边界线的输入、修改和复杂区域网格的自动生成以及网格加密,并提供了良好的人机交互。
[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.
【学位授予单位】：天津大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：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.
【学位授予单位】：天津大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：TP311.52
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