计算物理 ›› 2014, Vol. 31 ›› Issue (3): 307-313.

• 研究论文 • 上一篇    下一篇

低阶格式在大涡模拟计算中的适用性

刘同新, 马宝峰   

  1. 北京航空航天大学流体力学教育部重点实验室, 北京 100191
  • 收稿日期:2013-07-01 修回日期:2013-10-02 出版日期:2014-05-25 发布日期:2014-05-25
  • 作者简介:刘同新(1987-),男,山东,硕士生,研究方向:非定常流动的大涡模拟研究,E-mail:bf-ma@buaa.edu.cn
  • 基金资助:
    国家自然科学基金(11272033)资助项目

Suitability of Low-order Numerical Schemes in Large Eddy Simulations

LIU Tongxin, MA Baofeng   

  1. Ministry-of-Education Key Laboratory of Fluid Mechanics, Beihang University, Beijing 100191, China
  • Received:2013-07-01 Revised:2013-10-02 Online:2014-05-25 Published:2014-05-25

摘要: 采用三维Taylor-Green涡作为研究对象,利用工程中常用的低阶数值格式,研究格式本身的数值误差对大涡模拟计算的影响.结果表明:三种数值格式的数值耗散行为都与亚格子模型行为类似,即在小雷诺数下,流场比较光滑时,耗散很小,当雷诺数增加,流动转捩为湍流,流场梯度增大,耗散显著增大.对于MUSCL格式和二阶有界中心格式,在高雷诺数下,亚格子尺度模型没有明显改善计算结果,但也没有使计算结果恶化.中心格式相比其它两种格式,数值耗散最小,但是在高雷诺数湍流情况下,中心格式的数值耗散仍然主导了能量的耗散,再添加亚格子模型,计算结果反而变得稍差.对于工程中的低阶格式而言,采用中心格式计算大涡模拟是比较好的选择,而且在计算不存在稳定性问题时,采用不添加亚格子模型的隐式大涡模拟效果更好.

关键词: 大涡模拟, 数值耗散, 亚格子模型, 低阶格式

Abstract: Several low-order numerical schemes were evaluated for their suitability in large-eddy simulations based on 3D Taylor-Green vortex, with and without a subgrid-scale model. It shows that dissipation characteristics of three numerical schemes used are similar to a subgrid-scale model. At lower Reynolds numbers, flow fields are relatively smooth, numerical dissipation is lower; As Reynolds number increasing, transition to turbulence occurs and numerical dissipation grows greatly. For MUSCL and bounded centered schemes, subgrid-scale model has a little influence on results at high Reynolds numbers. The second-order central scheme exhibits lower dissipation, but at higher Reynolds numbers numerical dissipation still dominates total energy dissipation of flow. With an explicit subgrid-scale model the results even become worse. Therefore, for large eddy simulations in engineering, the second order central scheme is suitable, particularly without an explicit subgrid-scale model.

Key words: large eddy simulation, numerical dissipation, subgrid-scale model, low-order numerical schemes

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