Method of Residual Minimization in Compressible Steady Flows

摘要

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.