Numerical manifold method (NMM) based on finite covers provides a powerful tool for the analysis of engineering problems having complex discontinuities. However, the complicated geometric/topology operations and the block cutting procedure for generating physical covers seriously hinder the engineering practice of the NMM. In this work, local temporary pixels are constructed on the mathematical covers, and the seed filling method is employed to generate the pixel-represented physical covers cut by discontinuities. In this way, the geometric algorithm and block cutting procedure involved in conventional NMM are completely avoided, and the discontinuities and the manifold element integrals are still expressed in an accurate form. The proposed method has the merits of simple in principle and convenient for numerical implementation, which can simplify the physical cover generation process, so as to facilitate and promote the further application of the NMM in engineering practice.

基于有限覆盖的数值流形法 (NMM) 为分析具有复杂不连续性的工程问题提供了强大的工具。然而，复杂的几何/拓扑操作和生成物理覆盖的块切割程序严重阻碍了 NMM 的工程实践。在这项工作中，在数学覆盖上构建局部临时像素，并采用种子填充方法生成由不连续性切割的像素表示的物理覆盖。这样，完全避免了传统NMM中涉及的几何算法和分块切割过程，不连续性和流形单元积分仍然以准确的形式表达。该方法具有原理简单、便于数值实现的优点，