A high-resolution gas-kinetic scheme with minimized dispersion and controllable dissipation reconstruction

A high-resolution gas-kinetic scheme with minimized dispersion and controllable dissipation reconstruction
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具有最小色散和可控耗散重建的高分辨率气体动力学方案

DOI:
10.1007/s11433-017-9077-2
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发表时间:
2017-09
影响因子:
6.4
通讯作者:
Li QiBing
Li QiBing
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Tan Shuang;Li QiBing

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为了有效地模拟湍流等多尺度问题,在二阶精度气体动力学格式(GKS)中实现了基于小型化弥散和可控耗散(MDCD)的高精度重构,以提高精度和分辨率。首先根据局部拉伸比对均匀网格的耗散系数和色散系数进行修正,将MDCD推广到非均匀网格。在一般网格上实现了精度和分辨率的显著提高。然后利用MDCD重构构造了一种新的格式MDCD-GKS,该格式不仅适用于保守变量,而且适用于它们的梯度。在典型的数值试验中,MDCD-GKS显示了良好的精度和效率。将MDCD-GKS与改进的延迟分离涡模拟(IDDES)混合模型耦合应用于圆柱绕流的精细数值模拟,当采用较粗的网格时,预测结果与实验结果吻合较好。所开发的GKS的高精度和高分辨率保证了其在实际应用中的高效率。
In order to simulate multiscale problems such as turbulent flows effectively, the high-order accurate reconstruction based on mini- mized dispersion and controllable dissipation (MDCD) is implemented in the second-order accurate gas-kinetic scheme (GKS) to improve the accuracy and resolution. MDCD is firstly extended to non-uniform grids through the modification of dissipation and dispersion coefficients for uniform grids based on the local stretch ratio. Remarkable improvements in accuracy and resolution are achieved on general grids. Then a new scheme, MDCD-GKS is constructed, with the help of MDCD reconstruction, not only for conservative variables, but also for their gradients. MDCD-GKS shows good accuracy and efficiency in typical numerical tests. MDCD-GKS is also coupled with the improved delayed detached-eddy simulation (IDDES) hybrid model and applied in the fine simulation of turbulent flow around a cylinder, and the prediction is in good agreement with experiments when using the relatively coarse grid. The high accuracy and resolution of the developed GKS guarantee its high efficiency in practical applications.
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