| 亚网格尺度稳定化有限元求解不可压黏性流动 |
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| 引用本文： | 刘双兵,刘海湖. 亚网格尺度稳定化有限元求解不可压黏性流动[J]. 力学学报, 2011, 43(6): 1083-1090. DOI: 10.6052/0459-1879-2011-6-lxxb2010-268 |
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| 作者姓名： | 刘双兵 刘海湖 |
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| 作者单位： | 1.巢湖学院物理与电子科学系 |
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| 基金项目： | 安徽省高校省级优秀青年人才基金资助项目(2011SQRL122)~~ |
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| 摘 要： | 从亚网格尺度稳定化方法的基本原理出发, 提出了适合时间推进求解非定常Navier-Stokes方程获得定常解的SGS稳定化方法. 基于一定程度的近似和简化, 获得了与时间步长相关的稳定化参数, 从而排除了传统SGS稳定化方法在求解高Re数、小时间步长问题时所引发的数值不稳定性. 把SGS稳定化方法应用于求解不可压湍流, 结合标准k-varepsilon湍流模型和壁面函数法估计湍流黏性系数, 详细讨论了壁面函数法的实施、湍流输运方程的求解和保证湍流变量非负性的限制策略, 发展了时间推进求解不可压湍流的分离式算法. 二维外掠后台阶层流和湍流计算结果表明,该方法求解不可压黏性流动是可行的, 并且具有稳定性好、计算精度高的特点.
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| 关 键 词： | 外掠后台阶 |
| 收稿时间： | 2010-04-19 |
| 修稿时间： | 2011-06-17 |
SUBGRID SCALE STABILIZED FINITE ELEMENT FOR SOLUTION OF INCOMPRESSIBLE VISCOUS FLOWS |
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| Liu Shuangbing Liu Haihu. SUBGRID SCALE STABILIZED FINITE ELEMENT FOR SOLUTION OF INCOMPRESSIBLE VISCOUS FLOWS[J]. chinese journal of theoretical and applied mechanics, 2011, 43(6): 1083-1090. DOI: 10.6052/0459-1879-2011-6-lxxb2010-268 |
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| Authors: | Liu Shuangbing Liu Haihu |
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| Affiliation: | 1.Department of Physics and Electronic Science, Chaohu College, Chaohu 238300, China2.Department of Civil & Environmental Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA |
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| Abstract: | Started with the concept and fundamental of Subgrid Scale stabilized(SGS) method,an improved SSS finite element formulation is proposed to obtain time independent solutions by solving the unsteady incompressible Navier-Stokes equations.Based on some rational approximation and simplification,a new stabilization parameter which has relation with the selective time step size is deduced.As a result,the numerical instability resulting from high Reynolds and/or small time step size is eliminated.Combined with sta... |
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| Keywords: | stabilized finite element subgrid scale turbulence model flow over a backward facing step |
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