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基于映射理论的网格生成新方法及应用研究

NEW MESH GENERATION METHOD AND ITS APPLICATION BASED ON MAPPING THEORY
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摘要 基于映射函数理论提出二维/三维流场的网格生成新方法。针对实际应用中对场函数变密度的要求,提出可控制网格疏密度的插值公式,并以此对典型物体周围流场进行网格剖分,验证其有效性。针对圆形域(柱形域)流场网格生成质量的缺陷,提出在目标域中建立内置块的新策略,统计分析网格最小内角分布,并与原方法对比分析,以验证改进效果。运用自编程序,对具有复杂外形的空间膜结构进行流场网格剖分,并将该网格导入Ansys-CFX软件,进而数值模拟结构表面风压分布。经验证,该方法可有效地运用于流场网格剖分。 Based on mapping functions, a new method was presented to generate the 2D/3D flow field mesh system. To fit the change of field function density in practical studies, the interpolation formula that can control the mesh density was derived, and the mesh generation for the air flow field around a car by means of these formulas was put forward to verify the effectiveness of the present interpolation formula. Moreover, a new technique was proposed to improve the quality of mesh generation in both circular domain and cylindrical domain by introducing the embedded block. And the minimum angle distribution of the mesh system based on the present technique was statistically analyzed and a comparison with the results by other method was carried out in order to verify the improvement. Finally, the air flow field surrounding a long span membrane structure with complex shape was meshed by the program, and then the mesh system was imported into the Ansys-CFX software to simulate the wind pressure distribution on the structural surface. It was concluded that the presented new mesh generation method is very effective in the mesh generation of the flow field.
出处 《工程力学》 EI CSCD 北大核心 2010年第4期57-67,共11页 Engineering Mechanics
基金 高等学校博士学科点专项科研基金项目(200802480056) 国家自然科学基金项目(50778111) 上海市基础研究重点项目(07JC14023)
关键词 流场 网格生成 映射 疏密控制 圆域网格 flow field mesh generation mapping density control circular domain mesh
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