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Efficient Compressible Turbulent Flow Simulations: Entropy Projection and Correction for an ILES in a Discontinuous Galerkin solver

Year: 2026
Type: conference-paper
Abstract: We present the assessment of an entropy projection-correction approach, embedded on a high order discontinuous Galerkin (DG) scheme, as an effective and efficient solution for undertaking under-resolved implicit Large Eddy simulations (iLES) of turbulent transonic/supersonic flows. Combining the L 2 projection of the discrete spatial operators onto the entropy variable space with the residual correction of [1] we achieve an entropy conserving/stable (EC/ES) DG discretization of the convective operators upon suitable choice of the associated numerical flux function. The resulting framework shows an improved robustness which is exploited to tackle iLES on severely under-resolved space discretizations, achieving remarkably accurate solutions even on such coarse computational spaces.
Language: English
Open Access status: diamond
OpenAlex ID: W7130328168
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Cites: 18
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