Spectral approximation of Takens-Bogdanov point of the Navier-Stokes equations for the flow between two concentric rotating spheres

He-yuan Wang; Kai-tai Li

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Spectral approximation of Takens-Bogdanov point of the Navier-Stokes equations for the flow between two concentric rotating spheres

机译：Navier-Stokes方程的Takens-Bogdanov点的光谱近似，用于两个同心旋转球体之间的流动

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The paper studies a spectral Galerkin approximation problem of Takens-Bogdanov point of the Navier-Stokes equations for the flow between two concentric rotating spheres. The author constructs the extended system and its spectral Galerkin approximate system of Takens-Bogdanov point for the Navier-Stokes equations, and prove the regularity of solution of the extended system; the existence and the convergence of solutions of the spectral Galerkin approximate system are discussed. The spectral Galerkin approximation of Takens-Bogdanov point of the Navier-Stokes equations in two concentric rotating spheres is given, and the error estimates is presented.

机译：针对两个同心旋转球体之间的流动，研究了Navier-Stokes方程的Takens-Bogdanov点的谱Galerkin近似问题。构造了Navier-Stokes方程的Takens-Bogdanov点扩展系统及其谱Galerkin近似系统，证明了扩展系统解的规律性。讨论了光谱Galerkin近似系统解的存在性和收敛性。给出了两个同心旋转球面中Navier-Stokes方程的Takens-Bogdanov点的谱Galerkin近似，并给出了误差估计。

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来源
《Applied Mathematical Modelling》 |2007年第10期|p.2123-2135|共13页
作者
He-yuan Wang; Kai-tai Li;
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作者单位

Department of Mathematics and Physics, Liaoning Institute of Technology, Jin'zhou 121001, PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
the navier-stokes equations; takens—bogdanov point; spectral galerkin approximation; the extended system;

机译：斯托克斯方程;被摄体—博格达诺夫点;光谱伽勒金逼近;扩展系统;

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专利

1. A PSEUDOSPECTRAL QUADRATURE METHOD FOR NAVIER-STOKES EQUATIONS ON ROTATING SPHERES [J] . M. GANESH, Q. T. LE GIA, I. H. SLOAN Mathematics of computation . 2011,第275期

机译：旋转球面上Navier-Stokes方程的拟谱正交方法
2. Spectral solution of the Navier-Stokes equations for rotating flows [J] . Serre E., Bontoux P., Peyret R., Zeitschrift fur Angewandte Mathematik und Mechanik . 2001,第Suppla1期

机译：旋转流的Navier-Stokes方程的频谱解
3. The Spectral Method for the Flow between Two concentric Rotating Spheres,Part I: The Full Dicrete Legendre-Galerkin Methods [J] . 无非线性科学与数值模拟通讯：英文版 . 1998,第004期

机译：两个同心旋转球之间的流动的频谱方法，第一部分：全离散Legendre-Galerkin方法
4. Smooth Interfaces for Spectral Element Approximations of Navier-Stokes Equations [C] . Sha Meng, Xin Kai Li, Gwynne Evans International Conference on Computational Science - ICCS 2002 Pt.1, Apr 21-24, 2002, Amsterdam, the Netherlands . 2002

机译：Navier-Stokes方程谱元素逼近的光滑接口
5. LOCAL RATES OF MASS TRANSFER FROM SPHERES IN SIMPLE CUBIC PACKING AND A NUMERICAL SOLUTION OF THE NAVIER-STOKES EQUATIONS FOR VISCOUS FLOW PAST ASINGLE SPHERE [D] . RHODES, JOHN MARK -1

机译：简单立方包装中球体的质量转移率以及粘性过去单球体Navier-Stokes方程的数值解
6. On a Modified Form of Navier-Stokes Equations for Three-Dimensional Flows [O] . J. Venetis 2015

机译：关于三维流的Navier-Stokes方程的修正形式
7. A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres [O] . M. Ganesh, Q. T. Le Gia, I. H. Sloan 2016

机译：旋转球面上Navier-stokes方程的伪谱求积法
8. Radiative Heat Transfer to Chemically Reacting Flow Between Concentric Rotating Spheres. [R] . Bestman, A. R. 1987

机译：同心旋转球间化学反应流的辐射传热。

Spectral approximation of Takens-Bogdanov point of the Navier-Stokes equations for the flow between two concentric rotating spheres

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