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Sub-Cell Shock Capturing using Artificial Viscosity

As above, finite element methods naturally work on unstructured meshes, and as such offer the chance to compute physics inside and around highly complex, and perhaps moving boundaries. However, they have traditionally been plagued by low order. A new set of sub-cell shock capturing, using cleverly chosen spectral viscosities, has led to a breakthrough approach for transonic/supersonic flow and Reynolds averaged turbulent flow.