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Benchmark data on laminar Rayleigh-Benard convection in a stratified supercritical fluid: A case of two-dimensional flow in a square cell

机译:分层超临界流体中层流瑞利-贝纳德对流的基准数据:在正方形单元中二维流动的情况

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摘要

We simulate numerically steady-state Rayleigh-Benard convection slightly above the stability threshold in a stratified supercritical fluid. We use a two-dimensional approximation and consider one roll contained in a square cell. Simulations are performed by two different numerical codes. First code is based on the complete Navier-Stokes equations, and second one is a low Mach number approximation with filtering sound and stratification effects. We consider conditions in which an influence of adiabatic temperature gradient is significant. Solutions found on the basis of two mathematical models are matched in a special fashion to find a contribution of adiabatic temperature gradient and specify common features independent of whether the governing equations are able to predict a stratification effect. We perform a comparison with known analytical and experimental results and propose our solutions as benchmark data for supercritical Rayleigh-Benard convection.
机译:我们在分层超临界流体中模拟数值略高于稳定性阈值的稳态Rayleigh-Benard对流。我们使用二维近似,并考虑一个正方形单元中包含一个卷。模拟由两个不同的数字代码执行。第一个代码基于完整的Navier-Stokes方程,第二个代码是具有过滤声和分层效果的低马赫数近似值。我们考虑绝热温度梯度影响显着的条件。在两个数学模型的基础上找到的解决方案将以特殊的方式进行匹配,以找到绝热温度梯度的贡献并指定共同的特征,而与控制方程式是否能够预测分层效应无关。我们与已知的分析和实验结果进行比较,并提出我们的解决方案作为超临界Rayleigh-Benard对流的基准数据。

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