Constructing the Numerical Method for Navier — Stokes Equations Using Computer Algebra System

机译：使用计算机代数系统构造Navier-Stokes方程的数值方法

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The present study demonstrates a very helpful role of computer algebra systems (CAS) for deriving and testing new numerical methods. We use CAS to construct and test a new numerical method for solving boundary - value problems for the 2D Navier — Stokes equations governing steady incompressible viscous flows. We firstly describe the core of the method and the algorithm of its construction, then we describe the implementation in CAS for deriving formulas of the method and for testing them, and finally we give some numerical results and concluding remarks.

机译：本研究证明了计算机代数系统（CAS）在推导和测试新数值方法方面的非常有益的作用。我们使用CAS构造和测试一种新的数值方法，用于解决控制稳定不可压缩粘性流的二维Navier-Stokes方程的边值问题。我们首先描述了该方法的核心及其构建算法，然后描述了在CAS中实现该方法的公式并对其进行测试的实现，最后给出了一些数值结果和结论。

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来源
《International Workshop on Computer Algebra in Scientific Computing(CASC 2005); 20050912-16; Kalamata(GR)》|2005年|P.367-378|共12页
会议地点 Kalamata(GR)
作者
Leonid Semin; Vasily Shapeev;
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作者单位

Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, 630090, Russia;

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会议组织
原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;代数、数论、组合理论;
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Constructing the Numerical Method for Navier — Stokes Equations Using Computer Algebra System

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