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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >ENHANCEMENT OF FLARE METHOD FOR PREDICTING BUOYANCY-INDUCED FLOW REVERSAL IN VERTICAL DUCTS VIA PARABOLIC MODEL
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ENHANCEMENT OF FLARE METHOD FOR PREDICTING BUOYANCY-INDUCED FLOW REVERSAL IN VERTICAL DUCTS VIA PARABOLIC MODEL

机译：耀斑法在抛物线模型中预测浮力引起的逆流的方法的改进

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摘要

Enhancement of the FLARE method frequently employed in a parabolic-equation model analysis for buoyancy-induced flow reversal within vertical channels is investigated. The present study shows several modifications to the parabolic model and the FLARE method The relative performance of all these modified parabolic models is evaluated for two-dimensional buoyancy-assisted reversed flows. Comparison of the solutions between the parabolic and the full elliptic Navier-Stokes models is also made. Results tend to confirm previously reported findings that analysis based on the parabolic model and the FLARE approximation (B.L. + FLARE) reduces the implementation and computation efforts remarkably yet still retains the accuracy of the numerical solutions. However, when the Richardson number is higher than a threshold number, the traditional BL. + FLARE procedure leads to an oscillating or even a divergent solution downstream. The numerical instability downstream can be eliminated by introducing a modified numerical algorithm (B.L. + FLAREC method) proposed in this study so as to advance the analysis into the higher Richardson number regime. For example, considering the channel flow at Re = 500 and Ri = 0.9, the B.L. + FLARE method leads to an oscillating solution in flow and temperature fields downstream; however, BL. + FLAREC can still provide a stable solution that closely agrees with the elliptic-model results. [References: 17]
机译：研究了抛物线方程模型分析中经常使用的FLARE方法的增强，该方法可用于在垂直通道内对浮力引起的流量逆转。本研究显示了对抛物线模型和FLARE方法的一些修改。所有这些修改的抛物线模型的相对性能针对二维浮力辅助逆流进行了评估。还对抛物线模型和全椭圆Navier-Stokes模型之间的解进行了比较。结果倾向于证实先前报道的发现，即基于抛物线模型和FLARE近似（B.L. + FLARE）的分析显着减少了实现和计算工作，但仍保留了数值解的准确性。但是，当Richardson数高于阈值数时，则使用传统BL。 + FLARE过程导致下游的振荡甚至是分散的解决方案。通过引入本研究中提出的改进的数值算法（B.L. + FLAREC方法）可以消除下游的数值不稳定性，从而将分析推进到更高的Richardson数域。例如，考虑到Re = 500和Ri = 0.9时的通道流量，B.L。 + FLARE方法可在下游的流场和温度场中产生振荡溶液;但是，BL。 + FLAREC仍然可以提供与椭圆模型结果非常吻合的稳定解决方案。 [参考：17]

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