A numerical simulation of three-dimensional transonic flows of compressible perfect fluids around aircraft by use of the finite element and least squares methods
Abstract
A numerical method is presented for obtaining solutions, in a conservative form, for transonic equations of a perfect compressible fluid. A complicated geometry of an aircraft is accounted for using limiting conditions in a finite element method to form approximations. A least squares method is employed for nonlinear problems, such as shocks, and includes factors of lift and entropy. Algorithms for a gradient are introduced, linked to the least squares formulations, and demonstrated to be useful in computer schemes for designing three-dimensional industrial structures, e.g., aircraft, intake ducts, and wings
- Publication:
-
Association Aeronautique et Astronautique de France
- Pub Date:
- November 1981
- Bibcode:
- 1981aaaf.coll.....P
- Keywords:
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- Aircraft Configurations;
- Compressible Fluids;
- Computational Fluid Dynamics;
- Finite Element Method;
- Least Squares Method;
- Three Dimensional Flow;
- Transonic Flow;
- Aircraft Design;
- Airfoil Profiles;
- Computer Aided Design;
- Entropy;
- Flow Equations;
- Ideal Fluids;
- Kutta-Joukowski Condition;
- Lift;
- Potential Flow;
- Shock Discontinuity;
- Fluid Mechanics and Heat Transfer