Exponentially Convergent Numerical Scheme for the Stream Function of Potential Flow over Axisymmetric Bodies

IF 0.7 4区数学 Q3 MATHEMATICS, APPLIED

Computational Mathematics and Mathematical Physics Pub Date : 2024-04-22 DOI:10.1134/s0965542524030138

A. G. Petrov

引用次数: 0

Abstract

A boundary element scheme for the problem of potential flow over an axisymmetric toroidal body is considered. An integral equation for the velocity distribution on the body is derived. It is shown that the numerical scheme for solving the considered equation converges exponentially.

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轴对称体上潜在流的流函数指数收敛数值方案

摘要针对轴对称环状体上的势流问题，考虑了一种边界元方案。推导了体上速度分布的积分方程。结果表明，求解所考虑方程的数值方案呈指数收敛。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Mathematics and Mathematical Physics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL

CiteScore

1.50

自引率

14.30%

发文量

125

审稿时长

4-8 weeks

期刊介绍： Computational Mathematics and Mathematical Physics is a monthly journal published in collaboration with the Russian Academy of Sciences. The journal includes reviews and original papers on computational mathematics, computational methods of mathematical physics, informatics, and other mathematical sciences. The journal welcomes reviews and original articles from all countries in the English or Russian language.