【24h】

A single formulation and finite element algorithm - A tool for comparing two-equation models of turbulence

机译:单一公式和有限元算法-比较湍流两方程模型的工具

获取原文

摘要

This paper presents a simple change of dependent variables for turbulence quantities that achieves two goals: the resulting formulation preserves positivity of all turbulence variables and leads naturally to a simple algorithm applicable to all two-equation turbulence models. ^It is also a useful means of comparing the structure of different turbulence models. ^The approach consists in solving for the natural logarithm of the turbulence variables. ^The methodology is applied to three popular models: the standard k - epsilon model, the k - tau model of Speziale and the k - omega model of Wilcox. ^When logarithmic variables are used, transport equations for one model are obtained by adding or subtracting those from another model and by using the simple relationships that exists between the logarithms of k, epsilon, omega, and tau. ^An adaptive finite element algorithm developed for the logarithmic form of the k - epsilon model is readily applied to the other models without any changes. ^The formulation is verified on a shear layer possessing a closed form solution. ^The approach is then applied to turbulent flow over backward facing step for which measurements are available. ^Computations show that solutions of controlled accuracy can be achieved for all models, opening the way to systematic comparison studies. ^(Author)
机译:本文介绍了湍流量的因变量的简单变化,该变化可实现两个目标:生成的公式保留了所有湍流变量的正性,自然而然地得出了适用于所有两方程湍流模型的简单算法。 ^这也是比较不同湍流模型结构的有用方法。 ^该方法在于求解湍流变量的自然对数。 ^该方法适用于三种流行的模型:标准k-epsilon模型,Speziale的k-tau模型和Wilcox的k-omega模型。 ^使用对数变量时,一个模型的运输方程可通过将另一模型的运输方程加或减,并使用k,ε,ω和tau对数之间的简单关系来获得。为k-epsilon模型的对数形式开发的自适应有限元算法可以很容易地应用于其他模型,而无需进行任何更改。 ^该制剂在具有封闭形式溶液的剪切层上验证。 ^然后将该方法应用于可进行测量的后向台阶上的湍流。 ^计算表明,所有模型都可以实现受控精度的解决方案,从而为系统比较研究开辟了道路。 ^(作者)

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号