J. Cadafalch et al., Comparative study of conservative and nonconservative interpolation schemes for the domain decomposition method on laminar incompressible flows, NUM HEAT B, 35(1), 1999, pp. 65-84
This study examines the resolution of the Navier-Stokes equations for lamin
ar natural or forced incompressible flows by means of the domain decomposit
ion method. Conservative and nonconservative interpolation schemes availabl
e in the literature are studied and compared to a formulation based complet
ely on finite-volume techniques. The discretized governing equations are ob
tained in each subdomain using a finite-volume method on staggered grids an
d are solved adopting a pressure-based segregated algorithm. A mesh refinem
ent study and the generalized Richardson extrapolation have been adopted to
evaluate the errors and the order of accuracy of each interpolation scheme
. Illustrative numerical results of a complex flow through a junction are s
hown.