We examine discretization error for standard node- and cell-centered schemes using the Method of Manufactured Solutions. We find that for isotropic grids, node-centered approaches produce less error than cell-centered approaches for comparable cell size. In contrast, cell-centered schemes produce less discretization error on stretched meshes. In 3D, careful treatment of non-planar faces is necessary to avoid first-order errors. We introduce a new corrected scheme which enhances the accuracy of the node-centered scheme to third-order. © 2011 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Katz, A., & Sankaran, V. (2011). Mesh quality effects on the accuracy of euler and navier-stokes solutions on unstructured meshes. In Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010 (pp. 401–407). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-642-17884-9_50
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