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首页> 外文期刊>Mathematical Problems in Engineering >A Spectral Solenoidal-Galerkin Method for Rotating Thermal Convection between Rigid Plates
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A Spectral Solenoidal-Galerkin Method for Rotating Thermal Convection between Rigid Plates

机译：刚性板间热对流的谱螺线管-Galerkin方法

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摘要

The problem of thermal convection between rotating rigid plates under the influence of gravity is treated numerically. The approach uses solenoidal basis functions and their duals which are divergence free. The representation in terms of the solenoidal bases provides ease in the implementation by a reduction in the number of dependent variables and equations. A Galerkin procedure onto the dual solenoidal bases is utilized in order to reduce the governing system of partial differential equations to a system of ordinary differential equations for subsequent parametric study. The Galerkin procedure results in the elimination of the pressure and is facilitated by the use of Fourier-Legendre spectral representation. Numerical experiments on the linear stability of rotating thermal convection and nonlinear simulations are performed and satisfactorily compared with the literature.
机译：对重力作用下旋转刚性板之间的热对流问题进行了数值处理。该方法使用螺线管基函数及其无偏差的对偶。通过减少螺线管底座的表示，减少了因变量和方程式的数量，从而简化了实施过程。为了将部分微分方程的控制系统简化为用于后续参数研究的常微分方程系统，采用了双螺线管基座上的Galerkin程序。 Galerkin程序可消除压力，并通过使用Fourier-Legendre频谱表示法进行简化。进行了旋转热对流线性稳定性的数值实验和非线性模拟，并与文献令人满意地进行了比较。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第3期|681246.1-681246.8|共8页
  • 作者

    Cihan Yildmm; Durmus Yarimpabuc; Hakan I. Tarman;

  • 作者单位

    Mechanical Engineering Department, Akdeniz University, Antalya 07058, Turkey;

    Mathematics Department, Osmaniye Korkut Ata University, Osmaniye 80000, Turkey;

    Engineering Sciences Department, Middle East Technical University, Ankara 06531, Turkey;

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