The Euler and Navier-Stokes equation for describing complex now phenomena a
round a wing with aileron is effectively solved using the combination of do
main decomposition technique and patched grids. An internal boundary condit
ion satisfied the conservation of flux is given. In computation, Van Leer's
scheme and central difference scheme are used for inviscid and viscous flu
x terms respectively and a new limiter function is constructed to preserve
the scheme having the TVD character. Numerical results show that present me
thod is an effective one for describing the flow around a 3-D wing with con
trol surfaces.