基于四边形网格的流形方法覆盖系统生成算法

Generation Algorithm of the Cover System in Manifold Method with Quadrangular Meshes

摘要:

对流形方法的有限覆盖系统进行了深入研究，基于任意四边形数学网格，系统地提出和发展了一种简单、快速、稳定的流形方法覆盖系统生成算法。该算法未引入任何附加假设，可以容易、方便地进行复杂多裂纹（节理）岩体及其裂纹扩展过程的流形单元生成及物理覆盖编码，较好地解决了流形方法实施时遇到的瓶颈问题，为流形方法的研究和进一步应用奠定了良好的基础。

Abstract:

A simple and efficient algorithm for the generation of finite cover system with arbitrary quadrangular mathematical meshes is proposed. Both the generation of manifold elements and the coding of physical covers can be carried out conveniently by the algorithm without any additional assumptions, even for the complex problems with multiple cracks and their propagation. It is believed that the key problem in the implementation of manifold method is well solved in the present work. The proposed algorithm also lays a good foundation for a further study and application of manifold method.