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Table 6 Validation of the MMS procedure

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

Grid (a) grid cells Inviscid vortex Euler MMS Grid (b) grid cells Inviscid vortex Euler MMS
L1 Error OOA L1 Error OOA L1 Error OOA L1 Error OOA
20 × 20 1.45e-02 1.22e-03 800 1.38e-02 6.14e-04
40 × 40 3.11e-03 2.22 2.15e-04 2.50 3200 3.14e-03 2.14 1.60e-04 1.94
80 × 80 6.80e-04 2.19 4.78e-05 2.17 12,800 7.02e-04 2.16 4.00e-05 2.00
160 × 160 1.57e-04 2.11 1.16e-05 2.04 51,200 1.66e-04 2.08 9.94e-06 2.01
320 × 320 3.85e-05 2.03 2.86e-06 2.02 204,800 4.05e-05 2.04 2.47e-06 2.01
Grid (e) grid cells Inviscid vortex Euler MMS Grid (f) grid cells Inviscid vortex Euler MMS
L1 Error OOA L1 Error OOA L1 Error OOA L1 Error OOA
20 × 20 1.41e-02 1.89e-03 800 1.60e-02 2.62e-03
40 × 40 5.61e-03 1.33 8.79e-04 1.10 3200 5.04e-03 1.67 1.03e-03 1.35
80 × 80 1.74e-03 1.69 4.05e-04 1.12 12,800 1.76e-03 1.52 5.60e-04 0.88
160 × 160 7.53e-04 1.21 2.18e-04 0.89 51,200 7.06e-04 1.32 2.48e-04 1.18
320 × 320 3.60e-04 1.06 1.08e-04 1.01 204,800 3.76e-04 0.91 1.35e-04 0.88