Numerical Analysis and Practical Aspects of a Robust and Efficient Grid Deformation Method in the Finite Element Context
Numerical Analysis and Practical Aspects of a Robust and Efficient Grid Deformation Method in the Finite Element Context
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发表时间：
2005
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通讯作者：
Matthias Grajewski;M. Köster;S. Kilian;S. Turek
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作者：
Matthias Grajewski;M. Köster;S. Kilian;S. Turek
在各种网格变形方法中，廖[4，7，17]提出的方法似乎是最有利的方法之一。在这篇文章中，我们介绍了廖的方法，它允许生成一个所需的网格尺寸分布相当任意的网格，而不会引起网格缠结的概括。此外，我们处理的基本步骤的有效实施，我们讨论的精度方面，如收敛行为以及所提出的技术的鲁棒性。我们的新方法的好处证明了几个应用程序和例子。
Among a variety of grid deformation methods, the method proposed by Liao [4, 7, 17] seems to be one of the most favourables. In this article, we introduce a generalisation of Liao’s method which allows for generating a desired mesh size distribution for quite arbitrary grids without giving rise to mesh tangling. Furthermore, we tackle the efficient implementation of the underlying steps and we discuss accuracy aspects like convergence behaviour as well as the robustness of the presented technique. The benefits of our new method are demonstrated for several applications and examples.