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. Author manuscript; available in PMC: 2021 Jan 1.
Published in final edited form as: J Comput Phys. 2019 Jul 29;400:108854. doi: 10.1016/j.jcp.2019.07.052

Table 14:

Convergence results of the Eulerian velocity and pressure for three-dimensional circular Couette flow considered in Sec. 4.2.

velocity pressure pressure on Ω*
h Error Order Error Order Error Order
L2 1.2500 × 10−1 7.9945 × 10−2 - 1.6719 × 10−1 - -
6.2500 × 10−2 2.1306 × 10−2 1.91 5.0511 × 10−2 1.73 -
3.1250 × 10−2 7.3705 × 10−3 1.53 1.1295 × 10−2 2.16 -
1.5625 × 10−2 1.9527 × 10−3 1.92 3.8657 × 10−3 1.55 -
L 1.2500 × 10−1 1.0378 × 10−1 - 4.6053 × 10−2 - 3.6172 × 10−2 -
6.2500 × 10−2 4.3354 × 10−2 1.26 4.3662 × 10−2 0.077 1.8408 × 10−2 0.97
3.1250 × 10−2 2.0026 × 10−2 1.11 3.1003 × 10−2 0.49 9.4395 × 10−3 0.96
1.5625 × 10−2 6.7114 × 10−3 1.58 2.0668 × 10−2 0.58 4.7551 × 10−3 0.99