Three-dimensional closure of the passage-averaged vorticity-potential formulation

Governing equations -- Vorticity-potential equations (3D) -- Passage-avering operator -- Passage-averaged equations -- Modified passage-averaged equations -- Boundary conditions -- Boundary conditions for 3dge -- Boundary conditions for mpage -- Solution procedure -- Data flow the 3DGE to the MPAGE -- Data flow from the MPAGE to the 3DGE -- Description of the NEL pump -- Rotor three-dimensional results -- MPAGE results without stator.