Digital Simulation of Transonic Three-Dimensional Flows of Perfect Compressible Flows Around Aircraft by the Methods of Finite Elements and of Least Squares (Simulation Numerique d'Ecoulements Tridimensionnels Transsoniques de Fluides Parfaits Compressibles Autour d'Avions par des Methodes e'Elements Finis et de Moindres Carres)

摘要

In the search for solutions to the problem of optimizing aerodynamic shapes, which plays an increasingly important role in the aeronautics industry, the advent of faster computers with greater memory capacity permits digital simulation of three-dimensional flows which is closer to actual conditions. Much work has been done with the method of finite differences but up to now such techniques have not enabled the complex geometry of a complete aircraft to be taken into consideration, recently developed, the method of least squares, using the theory of optimal control and appropriate finite elements was developed. In this paper gradient algorithms combined with least square formulations are presented and possible computer programs derived from the method for many three-dimensional industrial configurations, wing surfaces, air intakes, and complete aircraft are analyzed from the standpoints of data processing capabilities and quality of results.