Implementation of k-w Turbulence Models in an Implicit Multigrid Method

Implementation of k-w Turbulence Models in an Implicit Multigrid Method
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DOI:
10.2514/1.2461
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发表时间:
2004-07
期刊:
影响因子:
2.5
通讯作者:
Soohyung Park;J. Kwon
Soohyung Park;J. Kwon
中科院分区:
工程技术3区
文献类型:
--
作者:
Soohyung Park;J. Kwon

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采用多重网格隐式方法,分别采用线性和非线性涡粘性方程建立了三种κ-ω湍流模型。详细的技术实现和讨论。冻结和限制策略被用来提高多重网格方法的鲁棒性和收敛性。首次对Wilcox κ-ω、κ-w剪应力输运和Wilcox-Durbin+(WD+)模型进行了平板流动测试,结果与经验关联式吻合良好。对无分离和有分离跨音速流动的数值计算表明,采用弱非线性涡粘性的WD+模型与实验数据总体上符合较好。特别是对于分离流,本文的多重网格对角化交替方向隐式方法提供了良好的收敛性,没有任何鲁棒性问题
Three κ-ω turbulence models using linear and nonlinear eddy-viscosity formulations are implemented in an implicit multigrid method. Detailed techniques of implementation are presented and discussed. Freezing and limiting strategies are applied to improve robustness and convergence of the multigrid method. The Wilcox κ-ω, κ-w shear-stress transport, and Wilcox-Durbin+ (WD+) models are first tested for flat-plate flow, and the results are in good agreement with the empirical correlations. Numerical results for unseparated and separated transonic flows show that the WD+ model using weakly nonlinear eddy viscosity is in better overall agreement with the experimental data. Particularly for the separated flows, the present multigrid diagonalized alternating-direction implicit method provides good convergence without any robustness problems