基于泛函的网格生成与自适应
Grid Generation and Adaptation by Functionals
AI总结：
本文回顾了用于二维区域高质量结构化四边形网格生成的多种泛函，分析了Winslow和Modified Liao泛函，并通过数值例子展示了Area泛函在自适应网格生成中的应用。
摘要：
模拟的精度强烈依赖于网格质量。这里，质量意味着边界处的正交性和关键区域内的准正交性、光滑性、有界纵横比、解自适应行为等。我们回顾了用于在二维区域生成高质量结构化四边形网格的各种泛函。给出了Winslow和Modified Liao泛函的分析。还提供了数值例子以支持我们的理论分析。我们将展示使用Area泛函生成自适应四边形网格。
英文摘要：
Accuracy of a simulation is strongly depend on the grid quality. Here, quality means orthogonality at the boundaries and quasi-orthogonality within the critical regions, smoothness, bounded aspect ratios, solution adaptive behaviour, etc. We review various functionals for generating high quality structured quadrilateral meshes in two dimensional domains. Analysis of Winslow and Modified Liao functionals are presented. Numerical examples are also presented to support our theoretical analysis. We will demonstrate the use of the Area functional for generating adaptive quadrilateral meshes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
