COMPUTING A CONSISTENT VELOCITY VECTOR FIELD FROM A SET OF FLUXES

A method for constructing a velocity vector field from a grid and a set of fluxes for each face of the grid cells. The cells are first subdivided and internal fluxes are calculated for each cell subject to the constraints of the flux for each cell and to achieve the minimum energy state for the each cell. The minimum energy state is computed efficiently using a divergence-free correction method without introducing a pressure variable. Then, the velocity vector field is constructed from the subcell fluxes using mixed finite element interpolation.