A Petrov-Galerkin method for flows in cavities

机译：一种剥离流动的Petrov-Galerkin方法

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A Petrov-Galerkin method for computations of fully enclosed flows is developed. It makes use of divergence-free basis functions which also satisfy the boundary conditions for the velocity field. This allows the elimination of the unknown pressure. The computational procedure reduces to the solution of a system of nonlinear first order ordinary differential equations for the spectral expansion coefficients. We illustrate the effectiveness of the method by solving the problem of the two-dimensional thermoconvective flow in a rectangular cavity of aspect ratio 8 at Rayleigh number 3.4 × 10{sup}5.

机译：开发了一种用于计算完全封闭式流的Petrov-Galerkin方法。它利用无差异的基函数，该功能也满足速度场的边界条件。这允许消除未知的压力。计算过程减少了用于光谱膨胀系数的非线性第一阶常微分方程的系统的解决方案。我们通过在瑞利数3.4×10 {sup} 5求解纵横比8的矩形腔内的二维热电偶流量的问题来说明方法的有效性。

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《MIT Conference on Computational Fluid and Solid Mechanics》|2001年||共4页
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作者
Sergey A. Suslov; Samuel Paolucci;
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中图分类 O35-53;
关键词
Convection; Spectral methods; Petrov-Galerkin method; Differentially-heated cavity;

机译：对流;光谱方法;Petrov-Galerkin方法;差动加热腔;

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1. A Petrov-Galerkin method for flows in cavities: enclosure of aspect ratio 8 [J] . Sergey A. Suslov, Samuel Paolucci International Journal for Numerical Methods in Fluids . 2002,第8期

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4. A Petrov-Galerkin method for flows in cavities [C] . Sergey A. Suslov, Samuel Paolucci MIT Conference on Computational Fluid and Solid Mechanics Vol.2 Jun 12-15, 2001 . 2001

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7. A Petrov-Galerkin method for flows in cavities: enclosure of aspect ratio 8 [O] . Suslov Sergey A., Paolucci Samuel 2002

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A Petrov-Galerkin method for flows in cavities

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