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An anisotropic unstructured mesh adaptation strategy for Discontinuous Galerkin methods with application to compressible turbulent flow problems
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DOI：10.1016/j.compfluid.2026.107138.png)
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Abstract
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• Development and assessment of Hessian-based metric anisotropic mesh adaptation for Discontinuous Galerkin (DG) methods applied to compressible RANS equations. • Hessian-based indicator is scaled by state-of-the-art DG error estimators SSED and SSL to improve the efficiency of mesh adaptation for high orders. • The proposed anistropic mesh adaptation strategy captures anisotropic flow features including shocks, boundary layers, wakes and vortices, with a minimal number of mesh elements, considering second, third and fourth orders of accuracy. • Efficiency of the present approach is demonstrated for complex RANS cases, including 2D RAE2822 and three-element high-lift airfoil, 3D M6 wing and high-lift CRM configurations.
Keywords:
Anisotropic mesh adaptation
Discontinuous Galerkin methods
Compressible RANS equations
Error estimation
Turbulent flow problems
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