A Parallel Adaptive Multigrid Algorithm for the Incompressible Navier-Stokes Equations

Application of the full approximation storage method to the numerical simulation of two-dimensional steady incompressible viscous multiphase flows

“…They are actually a modification of these operators so that for single-phase flows, mass fluxes are conserved by the prolongation. This property, which the usual prolongation operators do not share, is crucial for the successful implementation of adaptive gridding [3]. For multiphase flows, the operator (19) needs to be modified further to ensure the conservation of mass fluxes.…”

“…Our starting point is a parallel, adaptive, multigrid, local quasi-Newton coupled solver for two-dimensional steady Navier -Stokes flows on staggered grids called pamg [3][4][5]. Its extension to multiphase flows, pamg-multiphase, requires a careful treatment because the differential operators are far more complex.…”