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 de-emphasizes 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