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

Advances in Aerodynamics

Table 6 Computational errors on the finest grid and L₂, L_∞ accuracy between the last two grids of different stencils

Different stencils	AR ≈ 4		AR ≈ 8		L₂ accuracy (4/8)	L_∞ accuracy (4/8)
Different stencils	L₂ errors	L_∞ errors	L₂ errors	L_∞ errors	L₂ accuracy (4/8)	L_∞ accuracy (4/8)
V-Stencil	2.474 × 10⁻⁴	1.368 × 10⁻³	2.564 × 10⁻⁴	1.299 × 10⁻³	2.117/2.16	1.978/1.995
F-Stencil	1.665 × 10⁻⁴	1.31 × 10⁻³	1.776 × 10⁻⁴	1.243 × 10⁻³	2.242/2.28	1.974/1.991
G-Stencil (Cell centroid)	1.432 × 10⁻⁴	1.052 × 10⁻³	1.561 × 10⁻⁴	1.077 × 10⁻³	2.283/2.337	1.982/2.006
G-Stencil (F-a-w centroid)	1.076 × 10⁻⁴	7.039 × 10⁻⁴	1.158 × 10⁻⁴	7.393 × 10⁻⁴	2.418/2.472	1.968/1.997