A three-dimensional numerical cloud model is used to investigate the i
nfluence of storm-relative environmental helicity (SREH) on convective
storm structure and evolution, with a particular emphasis on the iden
tification of ambient shear profiles that are conducive to the develop
ment of long-lived, strongly rotating storms. Eleven numerical simulat
ions are made in which the depth and turning angle of the ambient vert
ical shear vector are varied systematically while maintaining a consta
nt magnitude of the shear in the shear layer. In this manner, an attem
pt is made to isolate the effects of different environmental helicitie
s on storm morphology and show that the SREH and bulk Richardson numbe
r, rather than the mean shear in the low levels, determine the rotatio
nal characteristics and morphology of deep convection. The results dem
onstrate that storms forming in environments characterized by large SR
EH are longer-lived than those in less helical surroundings. Further,
it appears that the storm-relative winds in the layer 0-3 km must, on
average, exceed 10 m s-1 over most of the lifetime of a convective eve
nt to obtain supercell storms. The correlation coefficient between ver
tical vorticity zeta and vertical velocity w, which (according to line
ar theory of dry convection) should be proportional to the product of
the normalized helicity density, NHD (i.e., relative helicity), and a
function involving the storm-relative wind speed, has the largest peak
values (in time) in those simulated storms exhibiting large SREH and
strong storm-relative winds in the low levels. Even when the vorticity
is predominantly streamwise in the storm-relative framework, giving a
normalized helicity density near unity (as is the case in many of the
se simulations), significant updraft rotation and large w-zeta correla
tion coefficients do not develop and persist unless the storm-relative
winds are sufficiently strong. The correlation coefficient between w
and zeta based on linear theory is found to be a significantly better
predictor of net updraft rotation than the bulk Richardson number (BRN
) or the BRN shear, and slightly better than the 0-3-km SREH. Both the
theoretical correlation coefficient and the SREH are based on the mot
ion of the initial storm after its initially rapid growth. Linear theo
ry also predicts correctly the relative locations of the buoyancy, ver
tical velocity, and vertical vorticity extrema within the storms after
allowance is made for the effects of vertical advection. In predictin
g the maximum vertical vorticity both above and below 1.14 km, rather
than the actual w-zeta correlation, the 0-3-km SREH performs slightly
worse than the BRN. The correlation coefficient, SREH, and BRN all do
a credible job of predicting storm type. Thus, it is recommended that
operational forecasters use the BRN to predict storm type because it i
s independent of storm motion, and the SREH to characterize the rotati
onal properties of storms once their motions can be established. Final
ly, the ability of the NHD to characterize storm type and rotational p
roperties is examined. Computed using the storm-relative winds, the NH
D shows little ability to predict storm rotation (i.e., maximum w-zeta
correlation and maximum vertical vorticity), because it neglects the
magnitudes of the vorticity and storm-relative wind vectors. Histogram
s of the disturbance NHD show a distinct bias toward positive values n
ear unity for supercell storms, indicating an extraction of helicity f
rom the mean flow by the disturbance, and only a slight bias for multi
cell storms.