Algorithm for inviscid flow using the viscous transonic equation
Abstract
An algorithm employing Sichel's (1968) viscous transonic equation (VTE) is developed which introduces artificial viscosity everywhere and formally eliminates the need for mixed differencing. The smalldisturbance equation used has the form of the VTE, although artificially large values of viscosity are required for numerical stability. Computed results are only firstorder accurate for the inviscidflow solution. However, the method is not so efficient as current methods because of resulting large matrices.
 Publication:

AIAA Journal
 Pub Date:
 August 1978
 DOI:
 10.2514/3.7587
 Bibcode:
 1978AIAAJ..16..848C
 Keywords:

 Algorithms;
 Flow Equations;
 Inviscid Flow;
 Transonic Flow;
 Viscous Flow;
 Parabolic Differential Equations;
 Perturbation Theory;
 Shock Waves;
 Small Perturbation Flow;
 Taylor Series;
 Truncation Errors;
 Fluid Mechanics and Heat Transfer