论文标题
具有非紧凑和紧凑的重建的高阶气体运动方案，用于隐式大型涡流模拟
High-order Gas-kinetic Schemes with Non-compact and Compact Reconstruction for Implicit Large Eddy Simulation
论文作者
论文摘要
具有5阶非压缩重建的高阶气体运动方案（HGK）已在几乎不可压缩的湍流通道流动中很好地实现了隐式大型涡流模拟（ILS）。在这项研究中，将在湍流模拟中验证具有高阶非压缩重建和紧凑重建的HGK。对于高阶非压缩重建，实施了7阶正常重建和切向重建。在紧凑的重建方面，采用了五阶正常重建。当前的工作旨在展示高级非紧凑重建和ILE的紧凑重建的好处。通过三维密度扰动对流的数值模拟，HGK的准确性得到了验证。对于非紧凑型7阶方案，在单元界面上需要16个高斯点才能保留准确性的顺序。然后，在三维泰勒绿色涡流（TGV）问题和湍流通道流中使用了非紧凑和紧凑重建的HGK。精确的Iles溶液是从HGK中获得的。就数值算法的基础物理建模而言，紧凑的重建具有依赖性的物理和数值域的一致性，而无需使用与目标单元没有任何直接物理连接的单元格中的其他信息。紧凑型GK在解决多尺度结构时表现出对湍流模拟的有利性能。
High-order gas-kinetic scheme (HGKS) with 5th-order non-compact reconstruction has been well implemented for implicit large eddy simulation (ILES) in nearly incompressible turbulent channel flows. In this study, the HGKS with higher-order non-compact reconstruction and compact reconstruction will be validated in turbulence simulation. For higher-order non-compact reconstruction, 7th-order normal reconstruction and tangential reconstruction are implemented. In terms of compact reconstruction, 5th-order normal reconstruction is adopted. Current work aims to show the benefits of high-order non-compact reconstruction and compact reconstruction for ILES. The accuracy of HGKS is verified by numerical simulation of three-dimensional advection of density perturbation. For the non-compact 7th-order scheme, 16 Gaussian points are required on the cell interface to preserve the order of accuracy. Then, HGKS with non-compact and compact reconstruction is used in the three-dimensional Taylor-Green vortex (TGV) problem and turbulent channel flows. Accurate ILES solutions have been obtained from HGKS. In terms of the physical modeling underlying the numerical algorithms, the compact reconstruction has the consistent physical and numerical domains of dependence without employing additional information from cells which have no any direct physical connection with the targeted cell. The compact GKS shows a favorable performance for turbulence simulation in resolving the multi-scale structures.
