We propose a quality-based optimization strategy to reduce the total number of degrees of freedom associated with a discrete problem defined over a polygonal tessellation with the Virtual Element Method. The presented Quality Agglomeration algorithm relies only on the geometrical properties of the problem polygonal mesh, agglomerating groups of neighboring elements. We test this approach in the context of fractured porous media, in which the generation of a global conforming mesh on a Discrete Fracture Network leads to a considerable number of unknowns, due to the presence of highly complex geometries (e.g. thin triangles, large angles, small edges) and the significant size of the computational domains. We show the efficiency and the robustness of our approach, applied independently on each fracture for different network configurations, exploiting the flexibility of the Virtual Element Method in handling general polygonal elements.

我们提出了一种基于质量的优化策略，以减少与使用虚拟元素方法在多边形镶嵌上定义的离散问题相关的自由度总数。提出的质量集聚算法仅依赖于问题多边形网格的几何属性，相邻元素的聚集组。我们在断裂多孔介质的背景下测试这种方法，其中由于存在高度复杂的几何形状（例如薄三角形、大角度、小边缘）和计算域的显着大小。我们展示了我们方法的效率和稳健性，独立应用于不同网络配置的每个裂缝，利用虚拟元素方法处理一般多边形元素的灵活性。