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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >A DIRECT (PSEUDO-SPECTRAL) SOLVER OF THE 2D/3D STOKES PROBLEM - TRANSITION TO UNSTEADINESS OF NATURAL-CONVECTION FLOW IN A DIFFERENTIALLY HEATED CUBICAL CAVITY
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A DIRECT (PSEUDO-SPECTRAL) SOLVER OF THE 2D/3D STOKES PROBLEM - TRANSITION TO UNSTEADINESS OF NATURAL-CONVECTION FLOW IN A DIFFERENTIALLY HEATED CUBICAL CAVITY

机译：2D / 3D斯托克斯问题的直接（拟谱）求解器-在不同加热的立方腔中自然对流流动的非稳态转换

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A direct solver (named projection-diffusion) of the 2D/3D unsteady Stokes problem is presented. The pressure operator on which it rests is very close to the Poisson operator, but no pressure Boundary condition is needed to invert it. It is applied, with a Chebyshev collocation scheme, to compute the transition to unsteadiness of Be natural-convection flow of air in a differentially heated cubic cavity (two opposite vertical faces have fixed temperature, the other ones are adiabatic). A hysteretic behavior is observed, characterized by two critical Rayleigh number values, Ra-c1 and Ra-c2, found to lie in the respective ranges [3.3, 3.5] x 10(7) and [3.1, 3.2] x 10(7). Those values are about sir times smaller than the corresponding Ra-2D,Ra-c value for the square cavity. Preliminary results are given about the pretransitional and transitional flows, their symmetry properties in particular, and some first comparisons between the 2D flow and the midplane 3D flow. [References: 32]
机译：提出了2D / 3D非定常Stokes问题的直接求解器（称为投影扩散）。它所基于的压力算子与泊松算子非常接近，但是不需要压力边界条件来求逆。它采用Chebyshev搭配方案，用于计算在差异加热的立方腔（两个相对的垂直面具有固定的温度，另一个是绝热的）中Be自然对流流动到不稳定的过渡。观察到磁滞行为，其特征在于两个临界瑞利数值Ra-c1和Ra-c2位于相应的[3.3，3.5] x 10（7）和[3.1，3.2] x 10（7）范围内。这些值大约比方腔的相应Ra-2D，Ra-c值小sir倍。给出了有关过渡前和过渡流的初步结果，尤其是它们的对称性，以及2D流和中平面3D流之间的一些首次比较。 [参考：32]

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