非轴对称模拟中圆柱拉普拉斯空间的轴向奇异寻址：管道中的Graetz问题的一个例子

IF 0.7 4区物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY

Bulletin of the Lebedev Physics Institute Pub Date : 2025-07-28 DOI:10.3103/S1068335624602553

V. N. Kurdyumov

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引用次数: 0

摘要

探讨了圆柱坐标系下非非对称问题有限差分法的一个简单实现程序。轴奇点的处理是基于一个明显的物理假设，即在轴上不存在物理奇点。将该方法应用于管道中的非轴对称Graetz问题。数值结果与解析解以级数形式进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Addressing Axial Singularities in the Cylindrical Laplacian for Nonaxisymmetric Simulations: An Example of the Graetz Problem in Pipes

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Addressing Axial Singularities in the Cylindrical Laplacian for Nonaxisymmetric Simulations: An Example of the Graetz Problem in Pipes

A simple procedure for implementing of a finite-difference method for nonasisymmetric problems in cylindrical coordinates is explored. The treatment of axis singularity is based on an obvious physical assumption about the absence of physical singularity at the axis. The proposed method is applied to a nonaxisymmetric Graetz problem in pipes. The numerical results are compared with the analytical solution in the form of series.

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来源期刊

Bulletin of the Lebedev Physics Institute PHYSICS, MULTIDISCIPLINARY-

CiteScore

0.70

自引率

25.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Bulletin of the Lebedev Physics Institute is an international peer reviewed journal that publishes results of new original experimental and theoretical studies on all topics of physics: theoretical physics; atomic and molecular physics; nuclear physics; optics; lasers; condensed matter; physics of solids; biophysics, and others.