We simulate how nearly two-dimensional magnetohydrodynamic turbulence can b
e initiated and how it evolves with distance in the third dimension. Expand
ing flows lead to a suppression of the nonlinear cascades, mainly due to th
e changing transverse length scales. Velocity fluctuation levels are determ
ined more from the 2D dynamics than from the expansion except when the velo
city fluctuations are initially dominant. With expansion, magnetic fluctuat
ions always dominate velocity fluctuations at late times. [S0031-9007(98)08
244-1].