Nonlinear stability of parallel flows by high-order amplitude expansions
Nonlinear stability of parallel flows by high-order amplitude expansions
- New search for: Herbert, T.
- New search for: Herbert, T.
The Landau-Stuart theory and its subsequent modifications suffer from some restrictions and from the nonuniqueness in determining higher-order terms of the amplitude expansions, which limit the range of applicability as well as the validity of the results. In the present paper, a well-defined amplitude is introduced a priori. In this way, uniqueness for terms of any order is achieved. Moreover, Watson's method is no longer restricted to almost neutral disturbances. This offers not only more accurate approximations and numerical studies on convergence but, as a consequence, a whole series of new applications. As a first example, the nonlinear equilibrium states of the plane Poiseuille flow are investigated. The numerical results are discussed in context with the author's solutions of the nonlinear equations and with special emphasis on the convergence of Landu's series. (DePo)
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Nonlinear stability of parallel flows by high-order amplitude expansions
Nichtlineare Stabilitaet von Parallelstroemungen bei Ausdehnungen mit Amplituden einer hohen Ordnung
AIAA Journal ; 18 , 3 ; 243-248
1980
6 Seiten, 2 Bilder, 3 Tabellen, 18 Quellen
Article (Journal)
English
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