谱消去黏性谱元法大涡模拟  

SPECTRAL VANISHING VISCOSITY FOR LARGE-EDDY SIMULATIONS BY SPECTRAL ELEMENT METHODS

作　　者：容志建[1] 许传炬[1] 

机构地区：[1]厦门大学数学科学学院,厦门361005

出　　处：《力学学报》2009年第2期155-161,共7页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金重点项目(10531080);973"高性能科学计算研究"项目(2005CB321703);教育部"新世纪优秀人才支持项目"(NCET-05-0562)资助~~

摘　　要：引入一种新的利用谱元法进行湍流大涡模拟的方法:谱消去黏性法.谱消去黏性法原是为了解决双曲型问题谱逼近的稳定性而引进的,最近人们发现它还可用于湍流大涡模拟.与其它大涡模拟方法相比,这种方法几乎不必修改原代码便可在标准的谱元法中实现,而且几乎不增加计算量.文章使用谱元法结合谱消去黏性法对雷诺数12000时的三维驱动方腔流进行湍流大涡模拟,并提供了模拟的初步数值结果及其统计分析,湍流统计特性表明得到的结果与已知的实验和直接数值模拟结果有较好的一致性.另外,还考察了不同的谱消去黏性参数对稳定性和模拟结果的影响.Spectral Vanishing Viscosity （SVV） method was initially proposed to stabilize the computations of hyperbolic conservation laws when higher order spectral method was employed. Recently it was found that the SVV method can also be applied to large eddy simulations （LES） of incompressible flows without sub-grid scales （SGS） modeling. In this paper, a new SVV-LES method was proposed using Legendre spectral element discretizations. A new operator in variational form was introduced to replace the SVV operator and the viscosity operator in NS equations in order to implement the proposed SVV-LES method in a standard spectral element code with few modifications without significant increase of the computational cost. A large-eddy simulation case of the lid-driven cubic cavity flow at Reynolds number Re = 12 000 was carried out. The simulation results showed good agreements with the direct numerical simulation （DNS） or experimental results to demonstrate the efficiency and robustness of the proposed SVV-LES method. In addition, the impact of the SVV control parameters on the obtained results was also investigated.

关 键 词：Navier—Stokes方程 大涡模拟 谱元法 谱消去黏性法 

分 类 号：O357.1[理学—流体力学] O241.82[理学—力学]