标题： 坑蚀腐蚀的移动网格模拟 显示英文标题

标题： Moving Mesh Simulations of Pitting Corrosion

摘要： 由于金属点蚀腐蚀造成的损失每年给工业带来数十亿美元的损失，并可能危及人类生命。 提供了一种自适应移动网格方法的设计和实现，用于与点蚀相关的移动边界问题。 自适应网格是通过求解与非线性电势问题耦合的网格PDE自动生成的。 显示了移动网格方法能够实现初始网格生成，提供网格恢复，并能够平滑处理变化的坑几何形状。 考虑了晶体学不同的材料。 还处理了由于坑合并引起的网格拓扑变化。 计算并比较了坑形状、坑深度和坑宽度的演变与文献中的现有结果。 显示英文摘要

摘要： Damages due to pitting corrosion of metals cost industry billions of dollars per year and can put human lives at risk. The design and implementation of an adaptive moving mesh method is provided for a moving boundary problem related to pitting corrosion. The adaptive mesh is generated automatically by solving a mesh PDE coupled to the nonlinear potential problem. The moving mesh approach is shown to enable initial mesh generation, provide mesh recovery and is able to smoothly tackle changing pit geometry. Materials with varying crystallography are considered. Changing mesh topology due to the merging of pits is also handled. The evolution of the pit shape, the pit depth and the pit width are computed and compared to existing results in the literature.