A fast, conservative algorithm for solving the transonic full-potential equationA fast, fully implicit approximate factorization (AF) algorithm designed to solve the conservative transonic full-potential equation in either two or three dimensions is described. The algorithm uses an upwind bias of the density coefficient for stability in supersonic regions. This provides an effective upwind difference of the streamwise terms for any orientation of the velocity vector (i.e., 'rotated differencing'), and thereby greatly enhances the reliability of the present algorithm. A numerical transformation is used to establish an arbitrary body-fitted finite-difference mesh. Computed results for both airfoils and simplified wings demonstrate substantial improvement in convergence speed for the new algorithm relative to standard successive-line overrelaxation algorithms.
Document ID
19790061248
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Holst, T. L. (NASA Ames Research Center Applied Computational Aerodynamics Branch, Moffett Field, Calif., United States)