考虑坝基复杂地形的堆石坝三维有限元网格自适应生成方法OA
Adaptive generation method for 3D finite element mesh of rockfill dams with complex dam foundation topography
针对坝基复杂地形条件下堆石坝三维有限元网格生成中存在的分区分期边界拟合难、坝体—地基网格过渡区控制难及建基面边界难以精细反映等关键问题,提出一种堆石坝三维有限元网格自适应生成方法.本文基于单元变换对材料分区与填筑分期复杂边界进行自适应拟合;基于分形理论构造坝体与地基网格过渡因子,控制单元尺度变化速率并自适应构造地基过渡带;基于"体—面—棱—点"链式降维简化方法,提出严谨的三维网格地形切割面拟合算法,实现了建基面精细反映的坝体—地基三维网格生成.对基于本方法生成的5例大坝三维网格的纵横比、平行偏差、最大角和雅可比比率等指标进行统计分析,结果表明本文方法生成的网格整体质量可控,能够满足后续有限元计算的形状质量要求,并显著提高了三维建模效率.该方法可实现堆石坝从二维最大断面到三维有限元网格的自适应生成,可为坝基复杂地形条件下堆石坝坝体—地基体系精细化数值仿真提供高效、可靠的前处理方法.
To address the key problems in 3D finite element mesh generation for rockfill dams with complex dam foundation topography—such as difficulties in fitting the boundaries between different material zones and filling stages,controlling the meshes of the transition zone between the dam body and foundation,and accurately represent-ing the excavation boundaries—an adaptive 3D finite element mesh generation method for rockfill dams is proposed.The method employs element transformation to adaptively fit complex boundaries of material zones and filling stages.A transition factor for the meshes of the dam body and foundation is constructed using fractal theory to control the rate of element size variation and adaptively generate the foundation transition zone.A rigorous terrain cutting surface fit-ting algorithm for 3D meshes is developed based on a chained dimension-reduction scheme of"body-face-edge-vertex",enabling the generation of a 3D dam foundation mesh that accurately reflects the excavation surface.Statisti-cal analyses of mesh quality indicators—including aspect ratio,parallel deviation,maximum angle,and Jacobian ratio—for the 3D meshes of five dams generated using this method demonstrate that the method is featured by control-lable overall mesh quality meeting the shape quality requirements for subsequent finite element analysis,and signifi-cantly improved efficiency of 3D modeling.This method enables adaptive generation of rockfill-dam finite element meshes from 2D maximum cross sections to 3D finite element models,providing an efficient and reliable preprocess-ing approach for refined numerical simulation of rockfill dam body-foundation systems with complex dam foundation topography.
刘全;孟歆;王浩;张宏阳;张小蕾;庞小荣
武汉大学 水工程科学研究院,湖北 武汉 430072||武汉大学 水资源工程与调度全国重点实验室,湖北 武汉 430072武汉大学 水工程科学研究院,湖北 武汉 430072||武汉大学 水资源工程与调度全国重点实验室,湖北 武汉 430072武汉大学 水工程科学研究院,湖北 武汉 430072||武汉大学 水资源工程与调度全国重点实验室,湖北 武汉 430072武汉大学 水工程科学研究院,湖北 武汉 430072||武汉大学 水资源工程与调度全国重点实验室,湖北 武汉 430072武汉大学 水工程科学研究院,湖北 武汉 430072||武汉大学 水资源工程与调度全国重点实验室,湖北 武汉 430072武汉大学 水资源工程与调度全国重点实验室,湖北 武汉 430072
建筑与水利
材料分区填筑分期坝基复杂地形单元变换分形理论堆石坝有限元网格生成
material zoningstaged dam fillingcomplex dam foundation topographyelement transformationfrac-tal theoryrockfill damfinite element mesh generation
《水利学报》 2026 (7)
1052-1065,14
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