Abstract In this paper, we propose several approaches for automatic construction of planar multi-patch B-spline parameterizations around one or between two consecutive blade profiles in a blade cascade starting from given design parameters (blade cascade is obtained by unfolding a cylindrical cross-section of the runner), which have been implemented in C++ as fully automatic generators and are an integral part of our in-house automatic shape optimization tool for water turbines. These B-spline parameterizations have to be prepared for the definition of periodic boundary conditions on the corresponding parts of the boundary, which makes finding of analysis-suitable multi-patch B-spline parameterizations even more challenging. All approaches are compared with respect to the selected geometric quality measures and also with respect to the results from our in-house isogeometric incompressible turbulent fluid flow solver and we discuss pros and cons of these approaches.

中文翻译：

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叶栅多面片B样条网格的自动生成及其比较

摘要 在本文中，我们提出了几种方法，用于从给定的设计参数开始，围绕一个叶栅中一个或两个连续叶型之间的平面多面片 B 样条参数化的自动构建（叶栅是通过展开圆柱形横截面获得的）转轮），已在 C++ 中实现为全自动生成器，并且是我们用于水轮机的内部自动形状优化工具的组成部分。这些 B 样条参数化必须为边界相应部分的周期性边界条件的定义做好准备，这使得寻找适合分析的多面片 B 样条参数化更具挑战性。