网格映射方法中均匀健壮的网格模板

发布时间：2018-07-05 05:14

本文选题：网格生成 + 映射法　；参考：《机械工程学报》2013年17期

【摘要】：在映射法生成有限元网格的过程中引入具有严格数学模型的网格模板能够实现指定区域内网格的疏密过渡同时保证网格的质量。网格模板的设计需要保持健壮和保证生成的网格过渡均匀,针对现有模板在应用的过程中出现的网格节点局部集中和退化失效问题,提出一种新的模板设计方法。该方法利用疏密均匀、网格形式固定的基本模块构建三角形模板,根据三角形各边的剖分数分布推导出模块的组合形式和相应参数值以实现三角形域三个对边方向上网格的疏密过渡;组合基本模块与三角形模板构建四边形模板,将四边形网格的疏密过渡严格限定在三角形模板范围内以避免四边形模板生成的网格节点局部集中。通过多个几何区域的网格生成实例表明所设计的网格模板的正确性和有效性。
[Abstract]:In the process of generating finite element mesh by mapping method, the mesh template with strict mathematical model can realize the mesh density transition in the specified area and guarantee the quality of the mesh. The design of grid template needs to be robust and uniform. A new template design method is proposed to solve the problems of local centralization and degenerate failure of grid nodes in the application of existing templates. In this method, triangular templates are constructed by using basic modules with uniform density and fixed mesh form. According to the fractional distribution of each side of the triangle, the combination form of the module and the corresponding parameter values are deduced to realize the mesh density transition in the three opposite sides of the triangle domain, and the quadrilateral template is constructed by combining the basic module and the triangle template. The dense transition of quadrilateral mesh is strictly limited to the triangular template to avoid the local set of mesh nodes generated by quadrilateral template. The mesh generation examples of several geometric regions show the validity and validity of the designed mesh template.
【作者单位】：海军工程大学动力工程学院机械工程系;
【基金】：湖北省自然科学基金资助项目(2012FB06904)
【分类号】：TP393.01

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