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