1 Experiments in Fluids (2005). DOI 10.1007/s00348-005-0037-1

In the original publication of this article the figure legends for Figs. 2, 3, 4, 5, 6, 7, 8, 9 were unfortunately omitted. We apologize for this mistake. The correct versions of Figs. 2, 3, 4, 5, 6, 7, 8, 9, with all parts included, can be seen here.

Fig. 2
figure 1

Random error transmission ratio as a function of Δ/L

Fig. 3
figure 2

Vorticity bias error (%) as a function of spatial resolution

Fig. 4
figure 3

Vorticity bias error (%) versus position (Δ/L=0.05)

Fig. 5
figure 4

Bias error at the vortex center versus Δ/L

Fig. 6
figure 5

Relationship between the coefficient of the power law and the transmission ratio

Fig. 7
figure 6

Comparison of transfer functions for the FD2, comp-4, Rich-4, and CR4* schemes

Fig. 8
figure 7

Vorticity total error (%) as a function of spatial resolution for wave numbers=1–7

Fig. 9
figure 8

Total error prediction for wave numbers=1–7