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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 4:

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

velocity pressure
h Error Order Error Order
L2 1.56 × 10−1 4.4886 × 10−2 - 2.9764 × 10−2 -
7.80 × 10−2 1.0044 × 10−2 2.16 1.2007 × 10−2 1.31
3.90 × 10−2 1.3822 × 10−3 2.86 2.5519 × 10−3 2.23
1.95 × 10−3 3.6201 × 10−4 1.93 2.3269 × 10−4 3.46
L 1.56 × 10−1 4.6171 × 10−2 - 3.4157 × 10−2 -
7.80 × 10−2 1.0396 × 10−2 2.15 1.2673 × 10−2 1.43
3.90 × 10−2 2.5911 × 10−3 2.00 2.7193 × 10−3 2.22
1.95 × 10−3 8.4275 × 10−4 1.62 2.6682 × 10−4 3.35