A finite element formulation for supersonic flows around complex configurations
Abstract
The problem of small perturbation potential supersonic flow around complex configurations is considered. This problem requires the solution of an integral equation relating the values of the potential on the surface of the body to the values of the normal derivative, which is known from the small perturbation boundary conditions. The surface of the body is divided into small (hyperboloidal quadrilateral) surface elements which are described in terms of the Cartesian components of the four corner points. The values of the potential (and its normal derivative) within each element are assumed to be constant and equal to its value at the centroid of the element. This yields a set of linear algebraic equations whose coefficients are given by source and doublet integrals over the surface elements. Closed form evaluations of the integrals are presented.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 December 1974
 Bibcode:
 1974STIN...7523887M
 Keywords:

 Aerodynamic Configurations;
 Finite Element Method;
 Supersonic Flow;
 Cartesian Coordinates;
 Integral Equations;
 Linear Equations;
 Numerical Integration;
 Perturbation Theory;
 Fluid Mechanics and Heat Transfer