Multidomain treatments are studied in order to solve the steady compre
ssible Euler equations using implicit time-dependent finite volume met
hods on block-structured grids. Unconditionally GKS-stable and conserv
ative treatments are proposed for continuous and discontinuous 1D matc
hings and extended to 2D patched grids. Efficiency of the present inte
rface conditions is demonstrated through transonic flow calculations o
ver single- and two-element airfoils. (C) 1996 Academic Press, Inc.