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. Author manuscript; available in PMC: 2023 May 15.
Published in final edited form as: J Comput Phys. 2022 Feb 9;457:111042. doi: 10.1016/j.jcp.2022.111042

Table 3:

Results for the modified Turek-Hron benchmark using the three-point B-spline kernel with various values of MFAC under different grid resolutions. N is the number of grid cells on coarsest grid level, Ax and Ay are x-, y-displacements of the point A, and Stx and Sty are Strouhal numbers for the oscillations of Ax and Ay.

MFAC = 0.5 MFAC = 1.0 MFAC = 2.0 MFAC = 4.0
N Ax (×10−3) Stx Ax (×10−3) Stx Ax (×10−3) Stx Ax (×10−3) Stx
32 −2.30 ± 2.16 10.4 −2.63 ± 2.47 10.4 −2.89 ± 2.85 10.4 −3.16 ± 3.00 10.8
64 −2.57 ± 2.44 10.8 −2.69 ± 2.55 10.8 −2.76 ± 2.66 10.8 −3.03 ± 2.89 10.8
128 −2.75 ± 2.61 10.8 −2.77 ± 2.63 10.8 −2.83 ± 2.70 10.8 −2.88 ± 2.73 10.8
256 −2.79 ± 2.64 10.8 −2.82 ± 2.67 10.8 −2.83 ± 2.69 10.8 −2.85 ± 2.70 10.8
N Ay (×10−3) Sty Ay (×10−3) Sty Ay (×10−3) Sty Ay (×10−3) Sty
32 1.47 ± 30.5 5.00 1.67 ± 32.4 5.00 1.56 ± 34.9 5.00 1.23 ± 36.1 5.42
64 1.41 ± 32.7 5.00 1.44 ± 33.4 5.00 1.41 ± 34.2 5.00 1.49 ± 35.3 5.00
128 1.42 ± 33.9 5.00 1.43 ± 34.0 5.00 1.44 ± 34.5 5.00 1.42 ± 34.7 5.00
256 1.42 ± 34.2 5.00 1.43 ± 34.3 5.00 1.42 ± 34.4 5.00 1.42 ± 34.5 5.00