Simulations of complex, compressible, high-Reynolds-number flows require high-fidelity physics and turbulence models to be appropriately coupled with strong numerical regularization methods. Obtaining grid-independent and scheme-independent solutions of these flows when using both explicit turbulence models and additional numerical regularization is especially important for further testing and development of accurate physics models. To this end, the current study investigates the interaction between the stretched-vortex subgrid-scale model and both the fourth-order piecewise parabolic limiter and a fifth-order upwinding interpolation (or hyperviscosity). It is demonstrated that computing the subgrid-scale kinetic energy estimate for the stretched-vortex model at a coarser resolution than the base mesh provides results which are independent of the use of numerical regularization techniques. This is shown to be the case for a temporally-evolving shear-layer, the inviscid Taylor–Green vortex problem, and a decaying, homogeneous turbulent flow.

复杂，可压缩，高雷诺数流的模拟需要高保真物理和湍流模型，才能与强大的数值正则化方法适当地结合在一起。当同时使用显式湍流模型和附加数值正则化时，获得这些流的独立于网格和独立于方案的解决方案对于进一步测试和开发精确的物理模型尤其重要。为此，当前的研究调查了拉伸涡流亚网格尺度模型与四阶分段抛物线限制器和五阶迎风插值（或高粘度）之间的相互作用。结果表明，以比基本网格更粗糙的分辨率计算拉伸涡旋模型的亚网格规模动能估计值，其结果与数值正则化技术的使用无关。对于时间演化的剪切层，无粘性的泰勒-格林涡旋问题以及衰减的均匀湍流，情况就是如此。