A solution procedure is presented that considerably improves the compu
tational efficiency of the viscous-shock-layer technique, especially f
or long slender bodies. The ''predictor-corrector'' procedure suggeste
d for obtaining the shock shape beyond the nose region requires only a
single global pass. The accuracy of the present method is demonstrate
d by comparison with globally iterated results over the entire body an
d with ground- and flight-test data. The new procedure results in comp
uter run times one-third to one-half of the times required for the ful
l-body global iteration procedure. Furthermore, the algebraic expressi
ons used to specify the initial shock shape eliminate the need for a s
hock shape generated by external means and permit immediate introducti
on of the full viscous-shock-layer equations.