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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 6:

Convergence results of the Eulerian velocity and pressure for two-dimensional inclined plane-Poiseuille flow considered in Sec. 4.1.1.

velocity pressure pressure on Ω*
h Error Order Error Order Error Order
L2 7.80 × 10−2 1.3072 × 10−3 - 7.4462 × 10−4 - -
3.90 × 10−2 3.1417 × 10−4 2.06 2.2671 × 10−4 1.72 -
1.95 × 10−3 7.6507 × 10−5 2.04 9.4735 × 10−5 1.26 -
9.75 × 10−4 1.9933 × 10−5 1.94 4.0041 × 10−5 1.24 -
L 7.80 × 10−2 5.8251 × 10−2 - 4.5021 × 10−2 - 5.2985 × 10−2 -
3.90 × 10−2 3.0388 × 10−2 0.94 2.1777 × 10−2 1.48 1.9759 × 10−2 1.42
1.95 × 10−3 1.5299 × 10−2 0.99 1.5221 × 10−2 0.52 1.0058 × 10−2 0.97
9.75 × 10−4 7.6174 × 10−3 1.00 1.4029 × 10−2 0.12 5.0311 × 10−3 1.00