A new fully coupled solution of the Navier‐Stokes equations

A fully coupled method for the solution of incompressible Navier‐Stokes equations is investigated here. It uses a fully implicit time discretization of momentum equations, the standard linearization of convective terms, a cell‐centred colocated grid approach and a block‐nanodiagonal 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 acceleration means that control the global efficiency of the procedure. The performance of the method is discussed using lid‐driven cavity problems, both for two and three‐dimensional geometries, for steady and unsteady flows.