Curvature-Based Wall Boundary Condition for the Euler Equations on Unstructured Grids

Abstract

A curvature-corrected symmetry technique developed by Dadone and Grossman (AIAA J., vol. 32, 1994) for a structured grid Euler solver has been extended to unstructured grids and to arbitrary curved boundaries in this paper. The local curvature is estimated numerically with a robust procedure, and is used successfully in the boundary treatment. Numerical results for 2D inviscid flows around circular and elliptic cylinders, and the NACA0012 airfoil with the new boundary condition showed dramatic improvements over those with a conventional non-curvature-corrected approach. In all cases, spurious entropy productions with the new boundary treatment are significantly reduced, and sometimes by several orders of magnitude.