The method of residual minimization in compressible steady flows
Abstract
Theoretical aspects of residual minimization in transonic flows are discussed for different formulations of the basic equations. By a special choice of the metric in function space, one deemphasizes short wave errors which are technically less important but cause slow convergence. Far field conditions are included in the approach by considering the distant (noncomputed) flow field as a superelement characterized by shape functions which solve the linearized equations. The matching of the three dimensions between the distant flow field and the computer part poses a difficult problem. A simple example shows a rather strong propagation of matching errors. Wake capturing can be accomplished even if one retains in nearly all of the flow field the idea of a potential flow. Linearized examples for supersonic problems give some insight in the questions of stability and accuracy.
 Publication:

Interim Report
 Pub Date:
 April 1985
 Bibcode:
 1985dayu.rept.....G
 Keywords:

 Compressible Flow;
 Error Functions;
 Far Fields;
 Flow Distribution;
 Formulas (Mathematics);
 Optimization;
 Steady Flow;
 Accuracy;
 Differential Equations;
 Linear Equations;
 Matching;
 Optimization;
 Potential Flow;
 Shapes;
 Wakes;
 Fluid Mechanics and Heat Transfer