STREAM-LIKE FUNCTION - NEW CONCEPT IN FLOW PROBLEMS FORMULATION

THE simultaneous solution of the nonhomogeneous equations representing the continuity and vorticity is frequently required in flow computations. Previous formulations resulted in two uncoupled second-order differential equations. A new approach is presented here, which is applicable in generalized two-dimensional and axisymmetric domains. It is based on the definition of a streamlike function which transforms the two first-order equations to a single second-order equation with Dirichlet boundary conditions, when the normal velocities are specified over the boundaries. © 1979 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.