The ''major/minor'' approach is being adopted as standard urban draina
ge design practice in many countries. Further to the normal primary dr
ainage design for minor storms, this approach now requires management
of inundation during extreme storms of return period fifty years or mo
re. Surface flows then have to be investigated over an urban topograph
y which is highly irregular and initially dry, and the transition from
these conditions to major storm flows is difficult to analyse. The pr
oposed modelling solution is based on the full integral hydraulic equa
tions incorporating possible shock fronts. Wetting and drying simulati
on, careful channel resolution at low flows, and implicit solution met
hods with flat response properties are also important Key points are i
llustrated by case studies.