边缘分辨Navier-Stokes流的标准和动能守恒间断Galerkin公式的评估
Assessing Standard and Kinetic Energy Conserving Discontinuous Galerkin Formulations for Marginally Resolved Navier-Stokes Flows
摘要：
边缘解决不连续Galerkin谱元计算的鲁棒性和准确性进行了评估的标准制定和动能保存分裂形式的复杂的物理和工程利益的问题，包括流动方柱，翼型和平面射流。它示出的动能保存配方是显着更强大的比标准计划下解决模拟。分裂形式的一个缺点是对高斯-洛巴托节点的限制，与标准格式使用的高斯求积相比，具有固有的欠积分和较低的精度。虽然结果支持标准高斯形式的更高精度，但在某些情况下，较低的数值鲁棒性和虚假振荡是明显的，这使得动能守恒方案在边缘分辨的数值模拟中具有优势。
英文摘要：
The robustness and accuracy of marginally resolved discontinuous Galerkin spectral element computations are evaluated for the standard formulation and a kinetic energy conserving split form on complex flow problems of physical and engineering interest, including the flow over a square cylinder, an airfoil and a plane jet. It is shown that the kinetic energy conserving formulation is significantly more robust than the standard scheme for under-resolved simulations. A disadvantage of the split form is the restriction to Gauss-Lobatto nodes with the inherent underintegration and lower accuracy as compared to Gauss quadrature used with the standard scheme. While the results support the higher accuracy of the standard Gauss form, lower numerical robustness and spurious oscillations are evident in some cases, giving the advantage to the kinetic energy conserving scheme for marginally resolved numerical simulations.
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