钟德云, 王李管, 毕林. 复杂矿体模型多域自适应网格剖分方法[J]. 武汉大学学报 ( 信息科学版), 2019, 44(10): 1538-1544. DOI: 10.13203/j.whugis20170304
引用本文: 钟德云, 王李管, 毕林. 复杂矿体模型多域自适应网格剖分方法[J]. 武汉大学学报 ( 信息科学版), 2019, 44(10): 1538-1544. DOI: 10.13203/j.whugis20170304
ZHONG Deyun, WANG Liguan, BI Lin. Adaptive Meshing of Multi-domain Complex Orebody Models[J]. Geomatics and Information Science of Wuhan University, 2019, 44(10): 1538-1544. DOI: 10.13203/j.whugis20170304
Citation: ZHONG Deyun, WANG Liguan, BI Lin. Adaptive Meshing of Multi-domain Complex Orebody Models[J]. Geomatics and Information Science of Wuhan University, 2019, 44(10): 1538-1544. DOI: 10.13203/j.whugis20170304

复杂矿体模型多域自适应网格剖分方法

Adaptive Meshing of Multi-domain Complex Orebody Models

  • 摘要: 针对轮廓线拼接法在复杂矿体建模时无法处理多域邻接特征的问题,应用Delaunay细分方法实现了一种适用于多域复杂矿体的网络剖分方法,不仅可以生成多域表面模型,还可以同时对不同域的矿体进行网格剖分,便于后期进行多域复杂矿体的有限元模拟。该方法通过约束Delaunay三角剖分来近似域和曲面,以及在Delaunay细分中确保对域的近似精度和对单元的网格质量。在约束Delaunay三角剖分的基础上,通过多标签算法对子域进行封装,并对中间域进行分离或通过距离场对中间域进行拟合,修改多域多面体的预测构造方法,实现了对多域多面体的自适应网格剖分方法。对河北省北洺河铁矿复杂矿体建模的试验结果表明,该方法除了可以生成无缝、连续的多域模型之外,通过网格优化还可以生成高质量的四面体和三角网格,避免轮廓线拼接法大量退化和奇异三角形的存在。同时该方法在逆向工程、有限元分析、科学计算可视化等领域中也都具有重要的应用价值。

     

    Abstract: In order to solve the problem of multi-domain adjacency in the modeling of complex orebodies, we implemented an adaptive meshing method for complex orebodies based on the Delaunay refinement method, which could generate multi-domain surface models and volume models for the finite element simulation in the later stage. The method relies on the constraint Delaunay triangulation to approximate the domain and the surface, and the Delaunay refinement to ensure the approximate accuracy of the domain and the grid quality of the cell. On the basis of constraint Delaunay triangulation, the multi-domain polyhedron method of prediction was constructed by separating the intermediate domain or fitting the intermediate domain by distance field. The method of adaptive meshing of multi-domain was implemented. Experimental tests of Beiminghe Iron Mine show that the method can generate a seamless and continuous multi-domain model with high-quality tetrahedral and triangular meshes by mesh optimization. And it can avoid many degraded and singular triangles by contour-matching. It is significant to apply this method in the reverse engineering, finite element analysis, scientific computing visualization and other fields.

     

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