基于耗散自适应调节的高精度隐式大涡模拟

High precision implicit large eddy simulation based on dissipation adaptive adjustment

  • 摘要: 隐式大涡模拟由于不需要额外设计构造显式的亚格子应力模型而受到广泛的关注,但如何调节自身数值耗散以使数值方法能够近似亚格子模型却是有待研究的重点和难点问题。自动耗散调节方法通过对比两次滤波后流场的差异衡量尺度解析的程度,利用耗散控制参数对格式的数值耗散进行自适应调节,流动解析不足时调大耗散,反之,则减小耗散,从而实现隐式大涡模拟。但目前基于自动耗散调节方法的隐式大涡均采用非线性激波捕捉格式,在低速剪切湍流的模拟中,非线性激波捕捉格式的耗散误差偏大。为了提高基于该方法的隐式大涡模拟在低速湍流中的模拟精度,通过耗散控制参数对七阶迎风格式进行自适应耗散调节,设计了一种新的隐式大涡模拟方法。针对典型的大涡模拟考核算例,例如泰勒-格林涡、均匀各向同性湍流和槽道流动,对新型隐式大涡方法进行了数值验证,取得了较好的模拟结果,表明该方法能够更加准确地反映数值模拟所需要的耗散,其鲁棒性和精度也要优于传统固定耗散的方式。

     

    Abstract: The implicit large eddy simulation has received widespread attention due to the fact that it does not require additional design to construct the explicit subgrid scale model, but how to regulate its own numerical dissipation such that the numerical method can approximate the subgrid scale model is a key and difficult problem to be solved. The automatic dissipation adjustment method measures the degree of scale resolution by comparing the difference between the two filtered flow fields, and utilizes dissipation control parameters to adaptively adjust the numerical dissipation of the scheme, increasing the dissipation when the flow resolution is insufficient, on the other hand, decreasing the dissipation, thus realizing the implicit large eddy simulation. However, the current implicit large eddy based on the automatic dissipation adjustment method adopts the nonlinear shock capture scheme, and in the simulation of low-speed shear turbulence, the dissipation error of the nonlinear shock capture scheme is relatively large. In order to improve the accuracy of the implicit large eddy simulation based on this method in low-speed turbulence, a new implicit large eddy simulation method is designed through the dissipation control parameter to adjust the dissipation adaptively for the seventh-order upwind scheme. The new implicit large eddy simulation method is numerically verified in typical test cases, such as Taylor-Green vortex, homogeneous isotropic turbulence, and channel flow, and better simulation results are obtained, which demonstrate that the method can more accurately reflect the dissipation required for numerical simulations, and its robustness and accuracy are better than that of traditional fixed-dissipation approaches.

     

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