Gb. Deng et al., NEW FULLY COUPLED SOLUTION OF THE NAVIER-STOKES EQUATIONS, International journal for numerical methods in fluids, 19(7), 1994, pp. 605-639
A fully coupled method for the solution of incompressible Navier-Stoke
s equations is investigated here. It uses a fully implicit time discre
tization of momentum equations, the standard linearization of convecti
ve terms, a cell-centred colocated grid approach and a block-nanodiago
nal structure of the matrix of nodal unknowns. The Method is specific
in the interpolation used for the flux reconstruction problem, in the
basis iterative method for the fully coupled system and in the acceler
ation means that control the global efficiency of the procedure. The p
erformance of the method is discussed using lid-driven cavity problems
, both for two and three-dimensional geometries, for steady and unstea
dy flows.