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Table 3 Computational errors and average stencil size of different stencils on the finest grid

From: Extending the global-direction stencil with “face-area-weighted centroid” to unstructured finite volume discretization from integral form

Different stencils

AR = 103

AR = 104

Average stencil size

L2 errors

L errors

L2 errors

L errors

V-Stencil

7.287 × 10−5

4.183 × 10−4

1.982 × 10−4

9.499 × 10−4

11.779

F-Stencil

6.317 × 10−5

4.259 × 10−4

1.704 × 10−4

9.439 × 10−4

8.861

G-Stencil (Cell centroid)

6.273 × 10−5

3.599 × 10−4

1.688 × 10−4

8.635 × 10−4

6.917

G-Stencil (F-a-w centroid)

3.31 × 10−5

2.67 × 10−4

9.833 × 10−5

4.007 × 10−4

6.917