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(v~2/k) - f TURBULENCE MODEL AND ITS APPLICATION TO FORCED AND NATURAL CONVECTION

机译:(v〜2 / k)-f湍流模型及其在强迫自然对流中的应用

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We present the rationale and some validation of a version of Durbin's elliptic relaxation eddy-viscosity model, which solves a transport equation for the velocity scale ratio v~2/k instead of v~2. The new model, developed independently at TU Delft and UMIST (in two variants, shows improved robustness, faster convergence and less sensitivity to grid nommiformities. The two variants differ insignificantly in the formulation of the v~2/k and f equations: the UMIST model endeavours to remain close to Durbin's original one, while TUD variant introduces quasi-linear pressure strain formulation but with some further numerically beneficial simplifications. The model validation in a range of attached, separating and impinging flows with heat transfer, as well as in natural convection in a tall cavity, showed satisfactory predictions in all cases considered.
机译:我们给出了Durbin的椭圆弛豫涡-粘性模型的原理和一些验证,该模型求解了速度比例比v〜2 / k而不是v〜2的输运方程。由TU Delft和UMIST独立开发的新模型(有两个变体,显示出更高的鲁棒性,更快的收敛性以及对网格规范的敏感性。这两个变体在v〜2 / k和f方程的公式化方面无显着差异:UMIST TUD变体引入了准线性压力应变公式,但在数值上进行了一些简化,从而使模型得以保持与Durbin的原始模型相近。在考虑到的所有情况下,高腔中的对流均显示出令人满意的预测。

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