Investigation of Difference Schemes for Two-Dimensional Navier-Stokes Equations by Using Computer Algebra Algorithms

被引：1
|
作者：
Blinkov, Yu. A. [1 ,2 ,3 ]
Rebrina, A. Yu. [4 ]
机构：
[1] Chernyshevsky Saratov Natl Res State Univ, Ul Astrakhanskaya 83, Saratov 410012, Russia
[2] Peoples Friendship Univ Russia, Ul Miklukho Maklaya 6, Moscow 117198, Russia
[3] Joint Inst Nucl Res, Ul Zholio Kyuri 6, Dubna 141980, Moscow oblast, Russia
[4] Gagarin State Tech Univ Saratov, Ul Politekhnicheskaya 77, Saratov 410054, Russia
来源：
PROGRAMMING AND COMPUTER SOFTWARE | 2023年 / 49卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
FLOW;
D O I：
10.1134/S0361768823010024
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A class of consistent difference schemes for incompressible Navier-Stokes equations in physical variables and their differential approximations are considered using an algorithm for Grobner basis construction. Results of investigating the first differential approximations of these schemes, which are obtained by using the authors' programs implemented in the SymPy computer algebra system, are presented. For the difference schemes under consideration, the quadratic dependence of the error for large Reynolds numbers and the inversely proportional dependence for creeping currents are analyzed.
引用
收藏
页码：26 / 31
页数：6
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