Low frequency tokamak edge turbulence is modelled numerically using gyroflu
id equations for electrons and ions on an equal footing. The electrons are
electromagnetic, and arbitrarily strong finite gyroradius effects are inclu
ded for the ions. Computations are in a globally consistent truncation of f
lux surface geometry arising from ideal tokamak equilibria. The turbulence
is similar to that in the fluid model in steep gradient regimes, for which
the electron transit frequency is comparable to that of the turbulence. The
nonlinear drift wave instability is shown to be caused by E x B self-advec
tion, and is similar for both two-and three-dimensional models. The turbule
nce always has drift wave mode character for the parameter regime of intere
st, except when the ideal ballooning threshold is reached. Turbulence inter
acts strongly with E x B shear flows, but does not build the flow shear to
significant levels by itself. On the other hand, an imposed shear layer ari
sing from the neoclassical equilibrium of the edge region does have the nec
essary properties and scaling to eventually result in a credible edge trans
port transition scenario. (C) 2000 American Institute of Physics. [S1070-66
4X(00)92205-5].