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Table 3 Discretization errors of gradient reconstruction and face midpoint value approximation

From: Accuracy analysis of gradient reconstruction on isotropic unstructured meshes and its effects on inviscid flow simulation

Discretization errors GG-Cell (reg. tri.) GG-Cell (reg. double-split tri.) LSQ-basic (reg. tri.) LSQ-basic (reg. double-split tri.)
Face midpoint value approximation face AB O(dx2) O(dx2)
face BC O(dx2) O(dx)
face AC O(dx2) O(dx)
Gradient reconstruction error of \( \frac{\partial f}{\partial x} \) O(dx) O(1) O(dx) O(dx)
error of \( \frac{\partial f}{\partial y} \) O(dx) O(1) O(dx) O(dx)