The effect of a strong magnetic field on photospheric convection in a
cool star like the Sun can be established by relating high-resolution
solar observations to results from nonlinear models that rely on compu
tation. The patterns of motion in numerical experiments on three-dimen
sional, compressible magnetoconvection depend not only on the strength
of the imposed vertical magnetic field but also on the aspect ratio l
ambda of the computational box. In a wide box (lambda = 8) with a mode
rately strong field, the flow organizes itself so that magnetic flux i
s separated from the motion. There are regions with strong fields and
small-scale oscillatory convection next to almost field-fret regions w
ith clusters of broad and vigorous convective plumes. In the solar pho
tosphere, this corresponds to the difference between the patterns of g
ranulation in plage regions (with fields greater than 100 G) and in th
e adjacent quiet Sun.