Numerical Calculations of Viscous Compressible Fluid Flow Around a Stationary Cylinder PDF Download
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Author: John G. Trulio Publisher: ISBN: Category : Computer programming Languages : en Pages : 112
Book Description
This report investigates a numerical calculation of viscous compressible fluid flow around right circular cylinder using AFTON 2P computer code.
Author: John G. Trulio Publisher: ISBN: Category : Computer programming Languages : en Pages : 112
Book Description
This report investigates a numerical calculation of viscous compressible fluid flow around right circular cylinder using AFTON 2P computer code.
Author: J. E. Marsden Publisher: Springer Science & Business Media ISBN: 1461263743 Category : Mathematics Languages : en Pages : 420
Book Description
The goal of these notes is to give a reasonahly com plete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to spe cific problems, including stability calculations. Historical ly, the subject had its origins in the works of Poincare [1] around 1892 and was extensively discussed by Andronov and Witt [1] and their co-workers starting around 1930. Hopf's basic paper [1] appeared in 1942. Although the term "Poincare Andronov-Hopf bifurcation" is more accurate (sometimes Friedrichs is also included), the name "Hopf Bifurcation" seems more common, so we have used it. Hopf's crucial contribution was the extension from two dimensions to higher dimensions. The principal technique employed in the body of the text is that of invariant manifolds. The method of Ruelle Takens [1] is followed, with details, examples and proofs added. Several parts of the exposition in the main text come from papers of P. Chernoff, J. Dorroh, O. Lanford and F. Weissler to whom we are grateful. The general method of invariant manifolds is common in dynamical systems and in ordinary differential equations: see for example, Hale [1,2] and Hartman [1]. Of course, other methods are also available. In an attempt to keep the picture balanced, we have included samples of alternative approaches. Specifically, we have included a translation (by L. Howard and N. Kopell) of Hopf's original (and generally unavailable) paper.
Author: John G. Trulio
Author: John G. Trulio
Author: John G. Trulio
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Author: J. E. Marsden
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