论文标题
关于粘性通量离散化流量模拟在略有分辨率网格上的作用
On the role of spectral properties of viscous flux discretization for flow simulations on marginally resolved grids
论文作者
论文摘要
在本说明中，讨论了粘性通量离散化在求解可压缩的Navier-Stokes方程中对于湍流模拟的频谱特性的重要性。我们研究了六种不同的方法，分为两种不同的类别，在高波数中具有较差的光谱特性表示。理论和数值结果都表明，与其他类别的方法相比，高波数在高波数中具有更好性能的方法，被称为$α$阻尼类型的离散化。与其他类别的方法相比，提出的紧凑型$α$阻尼方法将较低网格分辨率的直接数值仿真（DNS）解决方案收敛，因此，它是高保真大型模拟（LES）和DNS研究的更好候选者。
In this note, the importance of spectral properties of viscous flux discretization in solving compressible Navier-Stokes equations for turbulent flow simulations is discussed. We studied six different methods, divided into two different classes, with poor and better representation of spectral properties at high wavenumbers. Both theoretical and numerical results have revealed that the method with better properties at high wavenumbers, denoted as $α$-damping type discretization, produced superior solutions compared to the other class of methods. The proposed compact $α$-damping method converged towards the direct numerical simulation (DNS) solution at lower grid resolution compared with the other class of methods and is, therefore, a better candidate for high fidelity large-eddy simulations (LES) and DNS studies.
