论文标题
用于离散裂缝网络的虚拟元素方法的网格质量聚集算法
Mesh Quality Agglomeration algorithm for the Virtual Element Method applied to Discrete Fracture Networks
论文作者
论文摘要
我们提出了一种基于质量的优化策略，以减少与通过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。提出的质量聚集算法仅依赖问题多边形网格的几何特性，相邻元素的团聚组。我们在断裂的多孔培养基的背景下测试了这种方法，在这种介质中，由于存在高度复杂的几何形状和计算域的显着尺寸，因此在离散断裂网络上产生的全局符合网格会导致相当多的未知数。我们显示了方法的效率和鲁棒性，可独立地应用于每个裂缝的不同网络配置，从而利用虚拟元素方法的灵活性在处理一般多边形元素中。
We propose a quality-based optimization strategy to reduce the total number of degrees of freedom associated to 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 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.
