Solution of the Transonic Full Potential Equation in Conservative Form Using an Implicit Algorithm
Numerical solutions of the full potential equation in conservative form are presented. The iteration scheme used is a fully implicit approximate factorization technique called AF2 and provides a substantial improvement in convergence speed relative to standard successive line overrelaxation algorithms. The spatial differencing algorithm is centrally differenced in both subsonic and supersonic regions with an upwind evaluation of the density coefficient in supersonic regions to maintain stability. This effectively approximates “rotated differencing” and thereby greatly improves the reliability of the present algorithm. The solutions presented in this paper have been selected from the GAMM Workshop on Numerical Methods for the Computation of In-viscid Transonic Flow with Shock Waves.
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