We show how to use numerical methods within the framework of successive
scaling to analyse the microstructure of turbulence, in particular to find
inertial range exponents and structure functions. The methods are first
calibrated on the Burgers problem and are then applied to the 3D Euler
equations. Known properties of low order structure functions appear with a
relatively small computational outlay; however, more sensitive properties
cannot yet be resolved with this approach well enough to settle ongoing
controversies.
