为了提高传统的变分法计算螺旋桨最佳环量的数值稳定性，提出一种基于正弦级数模式函数和变分法的螺旋桨最佳环量计算改良方法。与传统直接求解各半径离散点处的环量分布不同，首先将径向环量分布形式用正弦级数表达出来，采用变分法建立泛函求极值的线性方程组时，未知数并不是各离散点的环量值，而是构成正弦级数的各项系数。本文采用该方法编写求解最佳环量的程序，并进行了验证计算，结果表明该改良方法是可行和正确的，数值计算结果稳定。
In order to improve the numerical stability of propeller optimal circulation method, an improved calculation method based on the sine series mode function and variational method is present in this paper. Be different from the traditional method that solves the circulation at discrete points directly, the radial circulation distribution was expressed by the sine series at first. Then, variational method is adopted to establish a system of linear equations about the coefficients of this sine series to get the optimal Circulation. The program for solving the optimal circulation is compiled by using this method. The calculated results show that this improved method is feasible and correct, and the numerical results are stable.
2019,41(3): 47-50 收稿日期：2018-10-30
DOI：10.3404/j.issn.1672-7649.2019.03.009
分类号：U661.53
基金项目：国家自然科学基金资助项目（51706211）
作者简介：韩用波(1986-)男,高级工程师,主要从事船舶推进器设计开发工作
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