In viscous-inviscid coupling analysis, the direct coupling technique a
nd the inverse coupling technique are commonly adopted. However, stabi
lity and convergence of the algorithms derived are usually very unsati
sfactory. Here, by using the transpiration technique to simulate the e
ffect of the displacement thickness, a new simultaneous coupling metho
d is derived. The integral boundary layer equations and the full poten
tial equation are chosen to be the viscous-inviscid coupled system. Af
ter discretization, the Newton-Raphson technique is pro posed to so Iv
e the coupled nonlinear system, Several numerical results are used to
demonstrate the accuracy and efficiency of the proposed method. (C) 19
95 Academic Press, Inc.