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首页> 外文期刊>Journal of Heat Transfer >Combined Spectral-Perturbation Approach for Systematic Mode Selection in Thermal Convection
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Combined Spectral-Perturbation Approach for Systematic Mode Selection in Thermal Convection

机译:对流的组合谱摄动方法

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摘要

A nonlinear spectral approach is proposed to simulate the post critical convective state for thermogravitational instability in a Newtonian fluid layer heated from below. The spectral methodology consists of expanding the flow and temperature fields periodically along the layer, and using orthonormal shape functions in the transverse direction. The Galerkin projection is then implemented to generate the equations for the expansion coefficients. Since most of the interesting bifurcation picture is close to criticality, a perturbation approach is developed to solve the nonlinear spectral system in the weakly post critical range. To leading order, the Lorenz model is recovered. The problem is also solved using amplitude equations for comparison. The similarity and difference among the three models are emphasized.
机译:提出了一种非线性光谱方法来模拟从下方加热的牛顿流体层中热重力失稳的临界后对流状态。光谱方法包括周期性地沿层扩展流场和温度场,并在横向使用正交形状函数。然后实施Galerkin投影以生成膨胀系数方程。由于大多数有趣的分叉图都接近临界,因此开发了一种摄动方法来解决弱后临界范围内的非线性光谱系统。为了领先,恢复了Lorenz模型。使用振幅方程进行比较也解决了该问题。强调了三个模型之间的相似性和差异性。

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