Pattern Formation in Viscous Flows

The Taylor-Couette Problem and Rayleigh-Bénard Convection
1999
ISBN: 978-3-0348-9738-9
Verlag: Birkhäuser Basel

Buch, Englisch, Band 128, 212 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 402 g

Reihe: International Series of Numerical Mathematics

The Taylor-Couette system is one of the most studied examples of fluid flow exhibiting the spontaneous formation of dynamical structures. In this book, the variety of time independent solutions with periodic spatial structure is numerically investigated by solution of the Navier-Stokes equations.

Zielgruppe

Research

Autoren/Hrsg.

Meyer-Spasche, Rita

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Naturwissenschaften Physik Mechanik

Inhaltsverzeichnis

1 The Taylor Experiment.- 1.1 Modeling of the Experiment.- 1.2 Flows between Rotating Cylinders.- 1.3 Stability of Couette Flow.- 2 Details of a Numerical Method.- 2.1 Introduction.- 2.2 The Discretized System.- 2.3 Computation of Solutions.- 2.4 Computation of flow Parameters.- 2.5 Numerical Accuracy.- 3 Stationary Taylor Vortex Flows.- 3.1 Introduction.- 3.2 Computations with Fixed Period ? ? 2.- 3.3 Variation of Flows with Period ?.- 3.4 Interactions of Secondary Branches.- 3.5 Re = 2 Recr and the (n, pn) Double Points.- 3.6 Stability of the Stationary Vortices.- 4 Secondary Bifurcations on Convection Rolls.- 4.1 Introduction.- 4.2 The Rayleigh-Bénard Problem.- 4.3 Stationary Convection Rolls.- 4.4 The (2,4) Interaction in a Model Problem.- 4.5 The (2,6) Interaction in a Model Problem.- 4.6 Generalisations and Consequences.