A recent numerical model of cellular and dendritic growth has been ext
ended into the high velocity region where the distribution coefficient
, liquidus slope and diffusion coefficient depend on the growth veloci
ty. The primary spacing selection mechanism is modelled so that no a p
riori assumptions need be made about a spacing selection condition. Th
e results are compared with experimental primary spacing measurements
obtained using rapid laser resolidification and good agreement is foun
d. The numerical results for undercooling and tip radii am compared wi
th those predicted for dendrites using marginal stability arguments, s
howing the potential and limits of the analytical models. The effect o
f high velocity on microsegregation is examined and microsegregation p
rofiles are predicted.