论文标题
高瑞利号差异多尺度大型涡流模拟对流
High Rayleigh number variational multiscale large eddy simulations of Rayleigh-Bénard Convection
论文作者
论文摘要
变异多尺度（VM）公式用于开发基于雷利 - 贝纳德对流的剩余VM大型涡流模拟（LES）模型。所得模型是结合VMS模型和涡流粘度模型的混合模型。在这项工作中，适应墙壁的局部涡流（Wale）模型被用作涡流粘度模型。新的LES模型是在有限元代码DREKAR中实现的。使用连续的分段线性有限元元素进行仿真。模拟范围从$ ra = 10^6 $到$ ra = 10^{14} $，以$ pr = 1 $和$ pr = 7 $进行。考虑了两个域：纵横比2的二维结构域，其中有两个平行板之间的流体和纵横比的三维圆柱体$ 1/4 $。将VMS结果的Nusselt数与三维直接数值模拟和实验进行了比较。在所有情况下，VMS结果都与现有文献吻合。
The variational multiscale (VMS) formulation is used to develop residual-based VMS large eddy simulation (LES) models for Rayleigh-Bénard convection. The resulting model is a mixed model that incorporates the VMS model and an eddy viscosity model. The Wall-Adapting Local Eddy-viscosity (WALE) model is used as the eddy viscosity model in this work. The new LES models were implemented in the finite element code Drekar. Simulations are performed using continuous, piecewise linear finite elements. The simulations ranged from $Ra = 10^6$ to $Ra = 10^{14}$ and were conducted at $Pr = 1$ and $Pr = 7$. Two domains were considered: a two-dimensional domain of aspect ratio 2 with a fluid confined between two parallel plates and a three-dimensional cylinder of aspect ratio $1/4$. The Nusselt number from the VMS results is compared against three dimensional direct numerical simulations and experiments. In all cases, the VMS results are in good agreement with existing literature.
