Alexandre J. Chorin

Vorticity and Turbulence

• Broschiertes Buch

Produktbeschreibung

This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long been understood that, at least in the case of incompressible flow, the vorticity representation is natural and physically transparent, yet the development of a theory of turbulence in this representation has been slow. The pioneering work of Onsager and of Joyce and Montgomery on the statistical mechanics of two-dimensional vortex systems has only recently been put on a firm mathematical footing, and the three-dimensional theory remains in parts speculative and even controversial. The first three chapters of the book contain a reasonably standard intro duction to homogeneous turbulence (the simplest case); a quick review of fluid mechanics is followed by a summary of the appropriate Fourier theory (more detailed than is customary in fluid mechanics) and by a summary of Kolmogorov's theory of the inertial range, slanted so asto dovetail with later vortex-based arguments. The possibility that the inertial spectrum is an equilibrium spectrum is raised.

Produktdetails

• Applied Mathematical Sciences .103
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4612-6459-0
• Softcover reprint of the original 1st ed. 1994
• Seitenzahl: 188
• Erscheinungstermin: 4. Dezember 2013
• Englisch
• Abmessung: 235mm x 155mm x 11mm
• Gewicht: 296g
• ISBN-13: 9781461264590
• ISBN-10: 1461264596
• Artikelnr.: 40772886

Autorenporträt

Alexandre J. Chorin is a professor of mathematics at the University of California, Berkeley who works in applied mathematics. He is known for his contributions to the field of Computational fluid dynamics. Ole Hald is a professor of mathematics at the University of California, Berkeley.