TURBULENCE MODELS APPLIED TO CLASSICAL FLUID MECHANICS AND HEAT TRANSFER PROBLEMS - THE PERFORMANCE EVALUATION OF THE OPEN SOURCE CFD PACKAGE OPENFOAM

Paulo Rocha, Felipe Pinto Marinho, Victor Oliveira Santos, Stéphano Praxedes Mendonça, Maria Eugênia Vieira da Silva
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Abstract

Topics related to the modeling of turbulent flow feature significant relevance in several areas, especially in engineering, since the vast majority of flows present in the design of devices and systems are characterized to be turbulent. A vastly applied tool for the analysis of such flows is the use of numerical simulations based on turbulence models. Thus, this work aims to evaluate the performance of several turbulence models when applied to classic problems of fluid mechanics and heat transfer, already extensively validated by empirical procedures. The OpenFOAM open source software was used, being highly suitable for obtaining numerical solutions to problems of fluid mechanics involving complex geometries. The problems for the evaluation of turbulence models selected were: two-dimensional cavity, Pitz-Daily, air flow over an airfoil, air flow over the Ahmed blunt body and the problem of natural convection between parallel plates. The solution to such problems was achieved by utilizing several Reynolds Averaged  Equations (RANS) turbulence models, namely: k-ε, k-ω, Lam-Bremhorst k-ε, k-ω SST, Lien-Leschziner k-ε, Spalart-Allmaras, Launder-Sharma k-ε, renormalization group (RNG) k-ε. The results obtained were compared to those found in the literature which were empirically obtained, thus allowing the assessment of the strengths and weaknesses of the turbulence modeling applied in each problem.
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湍流模型在经典流体力学和传热问题中的应用——开源CFD软件包openfoam的性能评估
与湍流建模相关的主题在几个领域具有重要的相关性,特别是在工程领域,因为在设备和系统设计中存在的绝大多数流动都具有湍流的特征。一种广泛应用于分析这种流动的工具是基于湍流模型的数值模拟。因此,本工作旨在评估几种湍流模型在应用于流体力学和传热经典问题时的性能,这些模型已经被经验程序广泛验证。采用开源软件OpenFOAM,非常适合求解涉及复杂几何形状的流体力学问题的数值解。所选湍流模型的评价问题为:二维空腔、Pitz-Daily、翼型上空气流、Ahmed钝体上空气流以及平行板间自然对流问题。利用几种雷诺平均方程(RANS)湍流模型,即k-ε、k-ω、Lam-Bremhorst k-ε、k-ω SST、Lien-Leschziner k-ε、Spalart-Allmaras、laundersharma k-ε、重整化群(RNG) k-ε,实现了这些问题的求解。将得到的结果与经验得到的文献中的结果进行比较,从而可以评估每个问题中应用的湍流建模的优缺点。
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