The correlation coefficients of the relative velocity magnitude error ΔV_2D−3D,rel to the depth-averaged turbulence-related quantities and to |Δdir_s-b| for the seven discussed conditions (no-wind with reference discharge; storm and standard winds with reference, reduced or null discharges) are listed in Table 2.

Table 2

Correlation coefficients between ΔV_2D−3D,rel and the selected variables from the 3D simulations on the Superior Lake of Mantua (non-significant values with p > 0.01 are in italics)

Wind .	Null .	Standard .	Storm .	Standard .	Storm .	Standard .	Storm .
Q [m3/s] .	20 .	20 .	20 .	5 .	5 .	0 .	0 .
I	0.674	0.378	0.545	0.314	0.216	0.255	0.204
νT	−0.045	0.109	0.072	−0.008	0.051	−0.138	0.018
	0.320	0.712	0.702	0.646	0.652	0.498	0.888
	0.253	0.642	0.749	0.451	0.850	0.477	0.954
|Δdirs-b|	0.221	0.404	0.217	0.230	0.186	0.194	0.090

Wind .	Null .	Standard .	Storm .	Standard .	Storm .	Standard .	Storm .
Q [m3/s] .	20 .	20 .	20 .	5 .	5 .	0 .	0 .
I	0.674	0.378	0.545	0.314	0.216	0.255	0.204
νT	−0.045	0.109	0.072	−0.008	0.051	−0.138	0.018
	0.320	0.712	0.702	0.646	0.652	0.498	0.888
	0.253	0.642	0.749	0.451	0.850	0.477	0.954
|Δdirs-b|	0.221	0.404	0.217	0.230	0.186	0.194	0.090

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