FAST, CONSERVATIVE SCHEMES FOR THE FULL POTENTIAL EQUATION APPLIED TO TRANSONIC FLOWS

Implicit approximate factorization techniques (AF) are investigated for the solution of matrix equations resulting from finite-difference approximations to the full potential equation in conservation form. For transonic flows, an artificial viscosity, required to maintain stability in supersonic regions, is introduced by an upwind bias of the density. Two implicit AF procedures are presented, and their convergence performance is compared with that of the standard transonic solution procedure: successive line overtaxation (SLOR). Subcritical and supercritical test cases are considered. Results indicate a substantial improvement in convergence rate for AF schemes relative to SLOR. © 1979 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.