Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes
Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes
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DOI：
10.1016/j.cma.2008.11.020
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发表时间：
2010-01-01
影响因子：
7.2
通讯作者：
Hughes, T. J. R.
中科院分区：
文献类型：
--
作者：
Bazilevs, Y.;Michler, C.;Hughes, T. J. R.
在这项工作中，我们结合了（i)基于nurbs的等几何分析，（ii）残余驱动的湍流建模，以及iii）在未拉伸网格上弱施加无滑移和无穿透的狄利克雷边界条件来计算壁界湍流。而前两种成分在中高雷诺数的湍流计算中被证明是成功的[I]。李建军，李建军，胡绍夫，基于残差的湍流多尺度变分模型研究，计算机学报。机甲41 (2008)371-378；刘建军，刘建军，刘建军，刘建军，基于变分多尺度残差的湍流模拟研究，中国科学院学报。方法:。动力机械。Engrg。[j] ., 197(2007) 173-201]，正是在粗糙均匀网格上弱施加无滑移边界条件，使所提出的方法在高雷诺数下保持了良好的性能[Y]。巴齐列夫，T.J.R.休斯。流体力学中Dirichlet边界条件的弱施加。流体36 (2007)12-26；m . Calo， T.J.R. Hughes，壁面有界湍流的弱Dirichlet边界条件。第一版。方法:。动力机械。工程学报，2007,(3):453 - 462。这三种成分构成了计算工程流程可能的实用策略的基础，其复杂性介于RANS和LES之间。我们通过解决两个具有挑战性的不可压缩湍流基准问题来证明这一点：摩擦速度雷诺数为2003的通道流动和平面非对称扩散器中的流动。我们观察到我们的平均流量计算与参考计算和实验数据之间有很好的一致性。这为所提出的方法提供了一些可信度，我们相信它可能成为一种可行的工程工具。(C) 2008 Elsevier B.V.版权所有
In this work, we combine (i) NURBS-based isogeometric analysis, (ii) residual-driven turbulence modeling and iii) weak imposition of no-slip and no-penetration Dirichlet boundary conditions on unstretched meshes to compute wall-bounded turbulent flows. While the first two ingredients were shown to be successful for turbulence computations at medium-to-high Reynolds number [I. Akkerman, Y. Bazilevs, V. M. Calo, T. J. R. Hughes, S. Hulshoff, The role of continuity in residual-based variational multiscale modeling of turbulence, Comput. Mech. 41 (2008) 371-378; Y. Bazilevs, V.M. Calo, J.A. Cottrell, T.J.R. Hughes, A. Reali, G. Scovazzi, Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows, Comput. Methods Appl. Mech. Engrg., 197 (2007) 173-201], it is the weak imposition of no-slip boundary conditions on coarse uniform meshes that maintains the good performance of the proposed methodology at higher Reynolds number [Y. Bazilevs, T.J.R. Hughes. Weak imposition of Dirichlet boundary conditions in fluid mechanics, Comput. Fluids 36 (2007) 12-26; Y. Bazilevs, C. Michler, V.M. Calo, T.J.R. Hughes, Weak Dirichlet boundary conditions for wall-bounded turbulent flows. Comput. Methods Appl. Mech. Engrg. 196 (2007) 4853-4862]. These three ingredients form a basis of a possible practical strategy for computing engineering flows, somewhere between RANS and LES in complexity. We demonstrate this by solving two challenging incompressible turbulent benchmark problems: channel flow at friction-velocity Reynolds number 2003 and flow in a planar asymmetric diffuser. We observe good agreement between our calculations of mean flow quantities and both reference computations and experimental data. This lends some credence to the proposed approach, which we believe may become a viable engineering tool. (C) 2008 Elsevier B.V. All rights reserved.