Abstract

One approach to designing turbomachine blades is to use the theory of inverse boundary-value problems of aerohydrodynamics. The basis of the method for solving the inverse problem for a profile lattice located on an axisymmetric stream surface in a layer of variable thickness is the solution of the problem for a flat lattice. In this paper, we consider a number of issues arising in the numerical implementation of the solution of this problem for dense lattices, and we propose methods for solving them and thereby increase the accuracy of numerical calculations.

中文翻译：

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流体动力格反边值问题解的数值实现

摘要

设计涡轮机叶片的一种方法是使用空气动力学的逆边界值问题理论。解决位于厚度可变的层中的轴对称流表面上的轮廓晶格的逆问题的方法的基础是平坦晶格的问题的解决方案。在本文中，我们考虑了稠密晶格问题求解的数值实现中出现的许多问题，并提出了解决这些问题的方法，从而提高了数值计算的准确性。