Adaptively Tuned High-Order Methods for iLES
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In this work we present the application of a newly formulated class of compact weighted essentially non-oscillatory (CWENO)1 methods that adapt locally their dissipation characteristics for turbulent compressible flow simulations. The dissipation adjustment considers the local energy ratio2 of resolved/unresolved scales, the non-linear weights of the reconstruction, and intervenes to reduce/increase the dissipation of the spatial reconstruction operator, the Riemann solver employed, and a low-Mach number correction algorithm3. The schemes are developed in the open-source UCNS3D4 CFD software and applied to a series of well-established test problems including compressible supersonic Taylor-Green vortex flow variants and transonic flow past a cylinder. Significant improvements for resolving turbulent flows in iLES settings are attained, that can be expanded to several classes of high-resolution schemes for compressible flows.
