The locally uniform globally unstructured Cartesian grid method, which was demonstrated to maintain its true inherent accuracy for the Euler equations, is applied here to the Navier-Stokes equations. A scheme of Lax-Wendroff type and a conservative interface condition are used in interior regions. A non-slip condition based on bilinear interpolation is applied to treat solid boundaries. The question of mesh refinement instability and global accuracy is discussed for a simplified model equation. A non-isotropic mesh refinement is proposed in order to reduce the number of mesh points while maintaining the resolution of zones with high gradient.
Mesh Refinement Numerical Dissipation Exterior Boundary NACA0012 Airfoil Refinement Ratio
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