Implicit calculations of transonic flows using monotone methods
Abstract
Implicit approximatefactorization algorithms have been developed that use monotone methods for the calculation of steady and unsteady transonic flows governed by the smalldisturbancepotential equation. These algorithms use the new EngquistOsher switch in the typedependent differencing in place of the standard MurmanCole switch. The resulting algorithms are more stable; hence, calculations can be done more efficiently. For steady flows, the convergence rate is about 35% faster, and for unsteady flows the allowable time step is about 10 times larger. These improvements are achieved with no increase in computer storage and with only minor modifications in codes that use the MurmanCole switch. Also an implicit algorithm has been developed for the steady fullpotential equation in onedimension, which uses monotone methods.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1981
 Bibcode:
 1981aiaa.meetX....G
 Keywords:

 Monotone Functions;
 Numerical Flow Visualization;
 Small Perturbation Flow;
 Steady Flow;
 Transonic Flow;
 Unsteady Flow;
 Algorithms;
 Computer Programs;
 Flow Distribution;
 One Dimensional Flow;
 Potential Flow;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer