| タイトル | Solution of a few nonlinear problems in aerodynamics by the finite elements and functional least squares methods |
| 本文（外部サイト） | http://hdl.handle.net/2060/19800009728 |
| 著者（英） | Periaux, J. |
| 著者所属（英） | NASA Headquarters |
| 発行日 | 1979-12-01 |
| 言語 | eng |
| 内容記述 | The numerical simulation of the transonic flows of idealized fluids and of incompressible viscous fluids, by the nonlinear least squares methods is presented. The nonlinear equations, the boundary conditions, and the various constraints controlling the two types of flow are described. The standard iterative methods for solving a quasi elliptical nonlinear equation with partial derivatives are reviewed with emphasis placed on two examples: the fixed point method applied to the Gelder functional in the case of compressible subsonic flows and the Newton method used in the technique of decomposition of the lifting potential. The new abstract least squares method is discussed. It consists of substituting the nonlinear equation by a problem of minimization in a H to the minus 1 type Sobolev functional space. |
| NASA分類 | AERODYNAMICS |
| レポートNO | 80N17990
NASA-TM-75732 |
| 権利 | No Copyright |
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