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Numerical Study of Compressible Mixing Layers Using High-Order WENO Schemes

机译：基于高阶WENO格式的可压缩混合层的数值研究

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This paper reports high resolution simulations using fifth-order weighted essentially non-oscillatory (WENO) schemes with a third-order TVD Runge-Kutta method to examine the features of turbulent mixing layers. The implementation of high-order WENO schemes for multi-species non-reacting Navier-Stokes (NS) solver has been validated through selective test problems. A comparative study of performance behavior of different WENO schemes has been made on a 2D spatially-evolving mixing layer interacting with oblique shock. The Bandwidth-optimized WENO scheme with total variation relative limiters is found to be less dissipative than the classical WENO scheme, but prone to exhibit some dispersion errors in relatively coarse meshes. Based on its accuracy and minimum dissipation error, the choice of this scheme has been made for the DNS studies of temporally-evolving mixing layers. The results are found in excellent agreement with the previous experimental and DNS data. The effect of density ratio is further investigated, reflecting earlier findings of the mixing growth-rate reduction.
机译：本文报告了使用五阶加权基本非振荡（WENO）方案和三阶TVD Runge-Kutta方法进行的高分辨率模拟，以检验湍流混合层的特征。已通过选择性测试问题验证了用于多物种非反应式Navier-Stokes（NS）求解器的高阶WENO方案的实现。在与倾斜冲击相互作用的二维空间演化混合层上，对不同WENO方案的性能行为进行了比较研究。发现具有总变化量相对限制器的带宽优化的WENO方案比经典的WENO方案耗散少，但在相对粗糙的网格中易于表现出一些色散误差。基于其准确性和最小的耗散误差，已选择该方案用于时间演化混合层的DNS研究。发现结果与先前的实验和DNS数据非常吻合。进一步研究了密度比的影响，反映了混合增长率降低的早期发现。

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